why is the current across a drain resistor the same as the current across drain to source in a mosfet

An atomic nucleus emits an alpha particle (the helium nucleus), which causes it to change or "decay" into an other atomic nucleus with a mass number that is decreased by four and an atomic number that is reduced by two.

This process is known as alpha decay or -decay. In essence, alpha particles are helium nuclei that are bonded together by two protons and two neutrons. They are unable to penetrate as deeply as other particles like protons and electrons as a result of their enormous mass and electrical charge.

A positively charged particle similar to the helium-4 nucleus is spontaneously released during alpha decay.

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At perihelion (closest approach to the Sun), objects move the fastest; at aphelion, they move the slowest. Since the orbits of the planets in the Solar System are almost circular.

As a result, the planet moves more quickly when it is closer to the Sun and less rapidly when it is farther away. As a planet travels around its orbit, its speed is continually changing. A planet moves most quickly when it is closest to the sun, and most slowly when it is further away (farthest). Law 3.

Because we are nearer the Sun at perihelion and more aware of its gravity, the precise speed changes. We are moving a little bit more quickly around the Sun than we were at aphelion because of this. Our overall orbital velocity, which varies with distance from the Sun, is the sum of our tangential and radial velocities.

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When the TR and TC curves have the same slope, the firm is operating at its profit-maximizing output level, which allows the firm to earn the highest possible economic profit.

In microeconomics, the Total Revenue (TR) and Total Cost (TC) curves are important tools for understanding the behavior of firms in a competitive market. When the TR and TC curves have the same slope, the firm is said to be operating at its profit-maximizing output level. In this scenario, the firm earns the highest possible economic profit, which is the difference between total revenue and total cost.

To understand why the profit-maximizing output occurs when TR and TC curves have the same slope, we need to consider the following:

Marginal revenue (MR) is the additional revenue earned by a firm for selling one more unit of output. MR is equal to the slope of the TR curve.

Marginal cost (MC) is the additional cost incurred by a firm for producing one more unit of output. MC is equal to the slope of the TC curve.

The profit-maximizing output level occurs where MR = MC. At this output level, the additional revenue earned from selling one more unit of output (MR) is equal to the additional cost incurred from producing one more unit of output (MC).

When the TR and TC curves have the same slope, it means that MR = MC. This condition implies that the firm is operating at its profit-maximizing output level. At this output level, the firm earns the highest possible economic profit, which is the difference between total revenue and total cost.

If the slope of the TR curve is greater than the slope of the TC curve, then MR > MC, which means that the firm can increase its profit by producing and selling more output. Conversely, if the slope of the TC curve is greater than the slope of the TR curve, then MR < MC, which means that the firm can increase its profit by producing and selling less output.

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The required angle for the range of the projectile to be maximum is at an angle equal to 45°.

We know the horizontal range of the projectile as,

R = u² sin2θ/g

where,

R is range in metres

u is initial velocity in m/s

g is acceleration due to gravity in m/s²

The range of the projectile will be maximum when the angle is maximum.

So, sin 2θ should be maximum.

Sine angle has a maximum angle at its value equal to 1.

sin 2θ = 1

2θ = 90°

θ = 45°

Thus, the maximum range for a launched projectile is at angle equal to 45°.

The given question does not have any equation given. It is solved according to the basic information given.

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The mirror is a Concave mirror, the radius of curvature = 48.4 cm and the magnification is 2.25.

The field of physics known as optics is concerned with the behaviour and characteristics of light, including how it interacts with matter and how to build instruments that can either use or detect it.

Since the image is upright and larger than the object, we need a concave mirror.

We know image height, h/object height, h = -image distance, d'/object distance, d

h'/h = -d'/d

Using the real is a positive convention,

h'= + 48.1cm, h = + 21.3cm and d = + 13.2 cm.

48.1 cm/ 21.3 cm = -d'/+ 13.2cm

2 = -d'/12

d' = -29 cm

Using the mirror formula 1/d + 1/d' = 2/r where r = radius of curvature of the mirror

1/+13.2 + 1/-29 = 2/r

15.8 / 382.8 = 2 / r

r = ( 382.8 x  2 ) / 15.8

r = 48.4 cm

Magnification = image height, h'/object height,h

Magnification  = 48.1 / 21.3 = 2.25

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Therefore, 20 Coulombs of charge is transferred between points C and D of the circuit.

Potential difference, also known as voltage, is a measure of the electric potential energy per unit of charge in an electrical circuit. It is the force that drives the flow of electric charge through a circuit and is commonly expressed in volts (V).

The charge transferred can be calculated using the equation:

Q = W / V

Where Q denotes the charge transferred, W states the energy required, and V is the potential difference (30 Volts).

So, Q = 600 J / 30 V = 20 Coulombs.

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According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.

An electric spark is used to ignite the fuel-air mixture in a gasoline engine, and the combustion of this mixture in the cylinders generates the motive force. Related Articles: distributor reluctor breakers spark plug electric starter.

To ignite the mixture of gasoline and air in the engine's combustion chamber at precisely the appropriate moment, the ignition system's primary function is to produce an electric spark.

Given charge  =  –1.7 × 10⁻¹⁷ C

no. of electrons = (–1.7 × 10⁻¹⁷)/(1.6 × 10⁻¹⁹)

                           = - 2.72 × 10²

According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.

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Answer:

The other principal scale is the minor scale.

Answer: Minor

Explanation:

The aluminum ball will be repelled by the foam rod, meaning it will be pushed away from the foam rod and move in the opposite direction.

The direction can be defined as the route, course, or path followed by a person, group, or thing. It is the line of orientation that guides the way in which something is directed or moved. Direction also refers to the order or path of movement, be it forward, backward, up, down, or in any other specified way. Direction is an important element in life, as it serves to guide people and objects throughout their respective journeys. It can be used to explain the various movements of people, animals, and objects in the physical world, or it can be used to describe the paths taken to reach a goal. Direction is not only physical, but also mental, as it can refer to a persons way of thinking and their overall attitude.

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The value of the variable in the frequency will be 3.316.

What is the wavelength and frequency of light?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), millimeters (mm), or nanometers (nm).

The formula of the frequency is given as,

f = c / λ

Where 'f' is the frequency, c is the speed of light, and 'λ' is the wavelength.

The wavelength of a ray of blue light is 475 nm. If its frequency is x · 10¹⁴ Hz. Then the value of the variable 'x' is given as,

x · 10¹⁴ = (3 · 10⁸) / (475 · 10⁻⁹)

Simplify the equation, then we have

x · 10¹⁴ = (3 · 10⁸) / (475 · 10⁻⁹)

x = (3 · 10⁸) / (475 · 10⁻⁹ · 10¹⁴)

x = (3 · 10⁸) / (475 · 10⁵)

x = 6.316

The value of 'x' is 6.316.

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The new voltage across the resistor in terms of [tex]V_r[/tex] is [tex]\frac{\sqrt\frac{5}{4} }{\sqrt2 }[/tex]

When referring to the "pressure" that propels electricity, voltage is utilized. Volts (V) are the unit of voltage. and higher voltages cause an electrical device to receive more electricity. However, because too high voltage could damage their circuitry, electrical devices must operate within a range of voltages. A voltage that is too low, on the other hand, can also be a problem since it inhibits circuits from operating and renders the devices built around them worthless. One needs to understand voltage and how to fix related issues in order to handle electronic equipment correctly and identify the underlying causes of issues when they occur.

fxed magnitude sinusoidal voltage. at 100hz, at 100Hz:

[tex]V_r[/tex]= [tex]\frac{V_in}{2}[/tex]

Using the voltage division formula we find that the transfer function is:

Resistor = R

Inductor = jωL

[tex]\frac{R}{R+j \times\omega L}[/tex]

we then equate the magnitude with [tex]\frac{1}{2}[/tex]

[tex]\frac{R}\sqrt{R^2+ (\omega L)^2}[/tex] = [tex]\frac{1}{2}[/tex]

next step assume R =1 and ωL = 1 above

that means that at 50Hz:

R =1 and ωL = .5

plugging into that formula we get [tex]\sqrt{(5/4)[/tex]  and [tex]\frac{\sqrt\frac{5}{4} }{\sqrt2 }[/tex] because this was in terms of [tex]V_in[/tex] not [tex]V_r[/tex].

so the answer is C.

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Question:

For the circuit shown, the supply Vin is a variable frequency, fixed magnitude sinusoidal voltage. At 100Hz, the voltage drop across the resistor is Vr and it equals the voltage across the inductor. If the frequency of Vin is reduced to 50Hz, what is the new voltage across the resistor in terms of Vr?

a.) square root of (5/8) * Vr

b.) square root of (2/3) * Vr

c.) square root of (8/5) * Vr

d.) square root of (3/2) * Vr

"All nuclear reactors operate on the same principle but may use different designs." The given statement is true.

All nuclear reactors work on the principles of generating great amounts of energy by achieving controlled chain reactions in the reactors. Nuclear reactors work by using the heat energy released from splitting atoms of radioactive elements that generate electricity. Most nuclear electricity is generated using just two kinds of reactor which were developed in the 1950s and improved since then.

The reactors of the first generation are not in use, and most of the reactors that are used now are from the second generation. Both huge and tiny new designs are emerging. A nuclear reactor is a device that produces and controls the release of energy from the fission of atoms of certain elements.

Electricity can also be generated from nuclear power reactors where the energy released from this fission is converted into heat energy and this heat energy is used to make steam. The two main types of nuclear reactors are- Pressure water reactors and boiling water reactors.

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Answer:

1 km = .6214 mi

9.3E7 mi / .621 mi/km = 1.50E8 km

S = 1.5 * 10^8 km * 10^3 m / km = 1.5 * 10^11 meters

S = 1.5 * 10^11 meters

On a scale in which the Earth is roughly 15 meters distant from the Sun, which is the magnitude of a grapefruit. The nearest stars, other than the Sun, are located far away, roughly across the entire United States.

Stars form within dust clouds and are dispersed throughout the majority of galaxies. A well-known example of this kind of dust cloud is the Orion Nebula. Strong turbulence in the clouds creates knots with adequate mass.

Cosmologically speaking, the largest supermassive black holes have short lives—at most a few million years. They live short lives and die young. Smaller stars have much less fuel to begin with, such as those with energies of less about 10% of neutrons or protons.

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Answer:

through the use of a Gold leaf electroscope

The magnitude of road friction force that is needed to bring her car to a halt in 9.0 s is 1777.78N.

Mass (m) = 1000 kg.

initial speed (u) = 16 m/s.

time (t)= 9.0 Sec.

final speed (v) = 0 m/s.

F = ma

F=m[tex]\times (\frac{v-u}{t})[/tex]

a = [tex]\frac{v-u}{t}[/tex]

force is any action that tends to maintain, change, or distort a body's motion. Isaac Newton's three laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force. Newton's first law states that until a force is applied to a body, it will remain in either its resting or uniformly moving state in a straight path. According to the second law, when an external force acts on a body, the body accelerates in the force's direction. The amount of matter in the body is inversely proportional to the magnitude of the acceleration and directly related to the strength of the external force.

force (F)=  [tex]1000\times (\frac{0-16}{9})[/tex]=-1777.78N

The opposite force is indicated by the negative sign, which indicates this.

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Due to momentum conservation, energy from one marble is transferred into another marble when it collides with another marble.

At repose is the larger marble. The marble with a lower mass bounces off in the other direction following the contact. Moving in the same direction as the smaller stone is the larger one. If only one marble was able to strike the marbles in the line, then only one marble will shoot out the other end.

The initial momentum before the collision and the end momentum after the impact are equal, assuming an elastic collision. Momentum is preserved in a collision, as stated by Newton's third law of motion. That implies that what is put in must come out.

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The amplitude and direction of the electric field, E, at any given position can be determined by taking into account a slight positive test charge.

In science, anything that possesses a both path and a magnitude is referred to as a vector. They are typically represented by pointing lines, the height of which denotes the size of the vector. In physics, a vector is a quantity with both direction and magnitude. It is often depicted by such an arrow whose height was proportional to the magnitude of the quantity but whose orientation is identical to that of the quantity. Despite having a size and a direction.

The definition of direction is the course that something follows or the course that must be followed to arrive .

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The visual presentation of the data helps us to understand the information better, because: it provides clearer data which easier for us to identify patterns, trends, and outliers, especially in super large data.

In presenting data from experiments, it is strongly recommended to use visual presentation, such as graphics, diagrams, pictures, etc. The advantages of using visual presentations are as follows:

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The final charge on the first capacitor is 7.20 μC and the final charge on the second capacitor is 12.00 μC.

The initial charge on the first capacitor, 1, can be calculated using the formula:

Q = C * V

where

Q is the charge,

C is the capacitance, and

V is the voltage.

Substituting the values, we get:

Q = 2.40 μF * 8.00 V = 19.2 μC

Let's call the final charge on the first capacitor 1,f and the final charge on the second capacitor 2,f.

Since the two capacitors are now connected in parallel, their equivalent capacitance is C_eq :

C_eq = C1 + C2

C_eq = 2.40 μF + 5.60 μF = 8.00 μF

The final charge on the equivalent capacitance is equal to the initial charge on the first capacitor, so:

Q_eq = Q1,f = 19.2 μC

From this, we can calculate the final charge on each capacitor:

Q1,f = (C1 / C_eq) * Q_eq

Q1,f = (2.40 μF / 8.00 μF) * 19.2 μC = 7.20 μC

Q2,f = (C2 / C_eq) * Q_eq

Q2,f = (5.60 μF / 8.00 μF) * 19.2 μC = 12.00 μC

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Movements that cause a concussion are body movements that can vibrate the brain so hard that the brain moves back and forth quickly. Tools that avoid concussion are helmets, mouth guards, and other head protectors.

Concussion is a condition in which the brain is injured as a result of a hard blow, impact, or shock. A concussion is classified as a mild brain injury because it is usually not life threatening.

A common sign of a concussion is a headache that lasts for more than a few minutes. Some signs that could also indicate a concussion include blurred vision, and/or feeling dizzy or foggy.

This concussion is part of Newton's three laws. Where when an action is given to an object, the object will give an equal and opposite reaction. With different masses and different accelerations.

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"Steel is not considered renewable resource as it contains of iron and iron is  found inside the earth."

As they are created over an extended period of time by geological processes, minerals and metals are non-renewable resources.

Only iron can be used to make steel, and in order for iron to be effective, it must first be mined from the earth. Despite being the fourth most frequent material on Earth, there is a finite amount of iron, and once it is all used up, there will be no way to make more steel.

Instead, direct-reduced iron plants can be used by steelmakers to react the rock with gas in order to remove iron from ore. Then, using an electric arc furnace powered by sustainable energy, these iron pellets can be transformed into steel.

Steel is therefore not regarded as a renewable material.

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Explanation:

work = mgh

work= 80×10×1.25

w= 1000 joules

Answer:

800N

Explanation:

W=mg

where m=mass,g=acceleration due to gravity,W=weight

W=80×10

W=800N

Newton's second equation of motion, which states that the net force acting on an item is equal to its mass times its acceleration, can be used to compare the acceleration of the two crates.

The only forces acting on both crates are the applied force, f, and the gravitational force, mg, where m is the mass of each container and g is the acceleration brought on by gravity. This is because both crates are resting on a frictionless surface.Crate A will suffer a greater net force and, thus, a greater acceleration than Crate B since the applied force, f, is being applied just to Crate A. Due to its greater mass, crate B's acceleration will be less. The following formula can be used to determine the two crates' acceleration: Where m is the mass of each container, an is equal to f / m.Crate A will move more quickly and Crate B will trail behind because Crate A's acceleration is larger than Crate B's acceleration.

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Ions are generated when protons are gained or lost from the nucleus and are electrically charged. Choice (d)

Ions are charged particles that are created when an atom gains or loses one or more electrons. A charged atom or molecule is known as an ion. It is charged because the atom or molecule's number of protons and electrons is different. An atom becomes a negatively charged ion, or anion, when it gains one or more electrons. On the other hand, when an atom gains one or more electrons, it changes into a negatively charged cation or ion. The difference between the number of protons and electrons makes up an ion's charge.

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The radio waves used in television transmissions.

Lower frequency electromagnetic waves than microwaves are radio waves.

Radio waves have wavelengths that range from tens of thousands of metres to 30 centimetres. These are equivalent to frequencies between 3 Hz and 1 GHz (109 Hz).

Straight-line radio-wave communication signals pass through the atmosphere, reflect off of clouds or ionosphere layers, or are transmitted by satellites in space.

They are utilised in remote-controlled toys as well as traditional broadcast radio and television, shortwave radio, navigation and air traffic control, and more.

Particularly, the wavelengths of television waves range from around 50 centimetres to about 10 metres.

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The minimum force or effort required to move the weight upward is 500 lbs.

option C.

The minimum force (applied in the direction of the red arrow) required to move the weight upward is determined by applying the formula for ideal mechanical advantage as shown below.

IMA = load / effort

from the number of pulleys, IMA = 2

Load = 1,000 lbs

The minimum force or effort required to move the weight upward is calculated as;

effort = load / IMA

effort = ( 1,000 lbs ) / 2

effort = 500 lbs

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we can equate the two quantities of heat to find c: m_water * c_water * ΔT = m_material * c * ΔT, c = (m_water * c_water * ΔT) / (m_material * ΔT)

the above expression yields c = 0.20 kcal/kg * C°.

The formula for calculating the specific heat (c) of a material is:

ΔQ = m * c * ΔT

c = ΔQ / (m * ΔT)

ΔT = 100°C - 40°C = 60°C

m_water = 100 gΔQ = m_water * c_water * ΔT = 100 g * 1.00 kcal/kg * ΔT

m_material = 50 g

ΔT = 40°C - 0°C = 40°C

ΔQ = m_material * c * ΔT

So, we can equate the two quantities of heat to find c:

m_water * c_water * ΔT = m_material * c * ΔT

c = (m_water * c_water * ΔT) / (m_material * ΔT)

the above expression yields  temperature c = 0.20 kcal/kg * C°.

The first container's mass and temperature are multiplied together, and the result is added to the second container's mass and temperature to determine the mixture's water temperature. Finally, divide that outcome by the combined water masses in each container.

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On Venus, it has rained nonstop for the past seven years. The rain destroyed thousands of forests, which then multiplied thousand times before being destroyed once more.

Seven years had passed since Venus had last seen rain. Several forests had been trampled by the rain, regrown a thousand times, and then trampled once more. No concrete evidence of past or existing life on Venus has been discovered as of yet.

Venus's severe surface temperatures, which can reach around , and atmospheric pressure that is  times that of Earth make it implausible that water-based life as we know it could exist there. The rocket people had gone to Venus, a planet with rain, to establish a civilization and live out their lives.

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The answers include the following:

This is referred to as any source of potential damage, harm or adverse health effects on something or someone.

In the diagram given, we can see a car coming from behind and one in front which wants to enter the lane which makes them potential hazards as collision may occur which is why overspeeding shouldn't be encouraged to reduce the effect of anything happens.

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