The inductor can store up to 7.50 uJ of energy.
The inductor's maximum current is 0.0207 A.
The capacitor's maximum voltage is 20.7 V.
1.08 V is the voltage across the capacitor.
(a) The maximum energy stored in the inductor can be calculated using the formula for the energy stored in an inductor:
E = (1/2) * L * I²
where L is the inductance and I is the maximum current in the inductor. Substituting the given values, we get:
E = (1/2) * 60.0 mH * (0.500 mA)² = 7.50 uJ
Therefore, the maximum energy stored in the inductor is 7.50 uJ.
(b) The maximum current in the inductor can be calculated using the formula
I = Q / C
where Q is the charge on the capacitor and C is the capacitance. Substituting the given values, we get:
I = 6.00 uC / 290 uF = 0.0207 A
Therefore, the maximum current in the inductor is 0.0207 A.
(c) The maximum voltage across the capacitor can be calculated using the formula:
V = Q / C
Substituting the given values, we get:
V = 6.00 uC / 290 uF = 20.7 V
Therefore, the maximum voltage across the capacitor is 20.7 V.
(d) When the current in the inductor has half its maximum value, the energy stored in the inductor and the voltage across the capacitor can be calculated using the formulas:
E = (1/2) * L * I²
V = I / (C * ω)
where ω is the angular frequency of the circuit, given by:
ω = 1 / √(LC)
Substituting the given values, we get:
ω = 1 / √((60.0 mH)(290 uF)) = 800 rad/s
I = (1/2) * 0.500 mA = 0.250 mA
E = (1/2) * 60.0 mH * (0.250 mA)² = 0.937 uJ
V = (0.250 mA) / (290 uF * 800 rad/s) = 1.08 V
Therefore, when the current in the inductor has half its maximum value, the energy stored in the inductor is 0.937 uJ and the voltage across the capacitor is 1.08 V.
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Ocean waves are hitting a beach with a frequency of 0.100 Hz. Their average wavelength is 15.0 m. What is their average speed?
What is the frequency of a pendulum that is moving at 30 m/s with a wavelength of 0.32 m?
Answer:
Average speed=1.5 m/s
Frequency of pendulum=93.75Hz
Explanation:
We are given
Frequency, [tex]f=0.100Hz[/tex]
Average wavelength =[tex]\lambda=15m[/tex]
Speed of pendulum, [tex]v=30m/s[/tex]
Wavelength, [tex]\lambda'=0.32m[/tex]
We have to find the average speed and frequency of pendulum.
We know that
Speed,[tex]v=\lambda f[/tex]
Using the formula
Average speed,[tex]v=15\times 0.1=1.5m/s[/tex]
Hence, the average speed =1.5m/s
Frequency, [tex]f=\frac{v}{\lambda'}[/tex]
Using the formula
[tex]f=\frac{30}{0.32}[/tex]
[tex]f=93.75Hz[/tex]
Hence, the frequency of a pendulum=93.75Hz
1. Compare the speed that light waves travel in air to the speed that sound waves travel in the air. How many times faster do light waves travel in air in comparison to sound waves in air?
Water-1500 meters per second
steel-5000 meters per second
Air-335 meters per second
Answer:
895522 times faster.
Explanation:
From the question given above, the following data were obtained:
Speed of sound in air (v) = 335 m/s
Speed of light in air (c) = 3×10⁸ m/s
How many times faster =.?
To obtain how many times faster light travels in air than sound, do the following
c : v => 3×10⁸ : 335
c/v = 3×10⁸ / 335
c/v = 895522
Cross multiply
c = 895522 × v
From the illustrations made above, we can see that the speed of the light in air (c) is 895522 times the speed of sound in air.
Thus, light travels 895522 times faster than sound in air.
how you would orient the magnets and what you would do with the magnets to achieve maximum repulsion
The orientation of the magnets that gives the strongest repulsion because these poles and facing each other that is then leaves highest flux density of the poles for a force of repulsion to be very high
The electrostatic force between two charged metal spheres is 2N. If the charge on each sphere is doubled, what is the new force between the spheres?
Question 2 options:
A. 2N
B. 4N
C. 1N
D. 8
Answer:
8 N
Explanation:
The force between two charges is given by :
[tex]F=\dfrac{kq_1q_2}{d^2}[/tex]
Where
k is electrostatic constant
d is the distance between two charges
It means,
[tex]F\propto \dfrac{1}{d^2}[/tex]
When the distance is d, the force is 2 N. If the charge on each sphere is doubled, q₁' = q₂' = 2q₁ = 2q₂. New force will becomes:
[tex]F'=\dfrac{kq_1'q_2'}{d^2}\\\\F'=\dfrac{k2q_1\times 2q_2}{d^2}\\\\F'=4\times \dfrac{kq_1q_2}{d^2}\\\\F'=4\times 2\\\\F'=8\ N[/tex]
So, the new force becomes 8N. Hence, the correct option is (d).
Electric field strength of a point charge is E. What is the electric potential at a point where electric field will be E/4?
Answer:
Explanation:
We shall find first the distance where electric field is E/4 .
Let the charge be Q and distance be d where electric field is E . From the coulomb's Law
E = k Q / d²
Let distance be d₁ where field is E/4
E/4 = kQ / d₁²
Dividing the two equation
4 = d₁² / d²
d₁ = 2d
We shall have to find Potential at d₁ which is equal to 2 d .
Potential at d₁
V = k Q / 2d
= kQ d / 2d²
= E d / 2 . where d is distance of the point where field is E .
6. Suppose the resistance of your body between your right and left hands is 500,000 N. What
would be the current flowing through your body if you touched the plus and minus terminals of
a 120 V battery? The threshold of sensation for electric current through your body is about
300 PA. Would you feel the current?
HELP PLS
A que profundidad esta nadando una persona dentro de una alberca si la presión absoluta sobre ésta es de 156kPa?
Answer:
La persona está nadando en la alberca a una profundida de 5.575 metros.
Explanation:
La presión absoluta ([tex]P_{tot}[/tex]) experimentada por la persona es la suma de la presión atmosférica ([tex]P_{atm}[/tex]) y la presión hidrostática de la columna de agua de la alberca ([tex]P_{h}[/tex]), medidas en kilopascales. Es decir,
[tex]P_{tot} = P_{atm}+P_{h}[/tex] (1)
[tex]P_{tot} = P_{atm} + \frac{\rho\cdot g \cdot z}{1000}[/tex] (2)
Donde:
[tex]\rho[/tex] - Densidad del fluido de la alberca, medida en kilogramos por metro cúbico.
[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo al cuadrado.
[tex]z[/tex] - Profundidad de la persona en la alberca, medida en metros.
Si sabemos que [tex]P_{atm} = 101.325\,kPa[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] y [tex]P_{tot} = 156\,kPa[/tex], entonces la profundidad de la persona en la alberca es:
[tex]156 = 101.325 +\frac{(1000)\cdot (9.807)\cdot z}{1000}[/tex]
[tex]54.675 = 9.807\cdot z[/tex]
[tex]z = 5.575\,m[/tex]
La persona está nadando en la alberca a una profundida de 5.575 metros.
Motion and acceleration may only be used to refer to physical objects moving or changing speed/direction
Answer:
True
Explanation:
It is TRUE that Motion and acceleration may only be used to refer to physical objects moving or changing speed/direction.
This is because if an object is not moving or changing speed/direction to a determined point of reference, the object is considered to be at rest or motionless, thereby, with no absolute point of reference, absolute motion or acceleration cannot be distinguished.
If a storm is 7.5 kilometers away, how much time is expected between observations of lightning and thunder?
Answer:
≈ 22 seconds
Explanation:
7,5 km = 7500 m
Speed of light 300 000 000 m/s (for lightning)
Speed of sound 343 m/s (for thunder)
time = distance / speed
lightning time = 7500 m / 300 000 000 m/s = 0.000025 s
thunder time = 7500 m / 343 m/s ≈ 22 s
thunder time - lightning time = 22 s - 0.000025 s ≈ 22 s
PLS HELP. PLEASE. What is the role of DNA in determining an organism’s traits?
Answer using these words: DNA, chromosome, gene, allele, dominant, recessive
Answer:
DNA contains the instructions needed for an organism to develop, survive and reproduce. To carry out these functions, DNA sequences must be converted into messages that can be used to produce proteins, which are the complex molecules that do most of the work in our bodies
a dolphin that just manage to keep up with a speeding boat for a distance of 2km for a period of 3h in (answer in km/h)
Answer:
6km
Explanation:
3hours X 2km = 6 kilometres
what's 4 x 5
i need help with this question please
Answer:
4 × 5 = 5 + 5 + 5 + 5 = 20
Explanation:
Pick one factor and add it.
PLEASE HELP ME!!!! i will give brainliest to whoever gets it right
Answer:
I believe the answer is B.)
write any four importance of pressure
Answer:
Here is your ans
Explanation:
hope it helps you tq
On planet Q, g = 2.24 m/s2. If the mass of planet Q is 8.96
1021 kg, what is the radius of planet Q?(G = 6.67 * 10-11 N
(m/kg))
a
8.95 x 1032 m
b 5.17 x 10 m
C 1.26 108 m
d 9.23 x 1024 m
e
4.72 x 106 m
Answer:
5.17 x 10^5
Explanation
The correct answer is (b) [tex]5.17*10^{5}m[/tex]
Let us consider an object of mass m on the planet Q.
On planet Q, let the acceleration due to gravity be g = 2.24 m/[tex]s^{2}[/tex]
Mass of the planet is M = [tex]8.96*10^{21} kg[/tex]
Let its radius be R
and the universal gravitational constant G = [tex]6.67*10^{-11} m/kg[/tex]
Gravitational Force acting on the object:
[tex]mg=\frac{GMm}{R^{2} }[/tex]
[tex]R=\sqrt{\frac{GM}{g} } \\R=\sqrt{\frac{6.67*10^{-11}*8.96*10^{21} }{2.24} }\\R=5.17*10^{5} m[/tex] is the radius of the planet Q.
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3. Gather data: Use the values above to fill in the first row of the table. Then run your own experiments to fill
in the last two rows.
f
d.
d,
h.
h,
ร”
S
d
de
2.0
h;
h.
2.0
s.
2.0
S
f
2.0
15
10
30
Answer:
urjshsus uevus e survey dydvd dydvdyd d dgdv gdyr yrgdvv yth yrhvthr
Explanation:
ydgdydvd yd dv ydvr dyve dysdvdyr gdvr
Long Answer Type Questions
1 Can you differentiate between opaque, transparent and translucent objects
2 What is reflection of light?
3. What are the conditions for a shadow to be formed?
4. Prove through an experiment that light travels in straight lines.
5. What is pinhole camera? Explain its working with the help of a diagram
6. What are the main differences between a reflected image and shadows?
(1).....opaque -object that not allow light to pass through it
we can't look through opaque objects
ex..wall
translucent... objects that all some light to pass through it
we can partially see through it
ex...coloured glass window
transparent... objects that wholly allow light to pass through it
we can clearly see through it
ex...glass of specs
(2)..the bouncing back of light from a smooth polished surface is called reflection of light
(3)/.....there must be a solid ,opaque to block light
there must be a source of light
there must be a surface to have shadow on it..
(6)...reflected images r formed by light reflection from a smooth polished surface while shadows are formed by blockage of light by an solid,opaque object...
Explanation:
we should talk here thanks
1:What kind of energy does your body use to keep you warm.
2: What are two examples of something that stores chemical energy
3: All forms of energy can be transferred into what?
4: When energy changes from one type to another, this is called what?
5: Friction created by a car tire rubbing on a road creates what energy transportation? {blank} energy into {blank energy}
6: What type of energy transformation occurs when oil is used to heat a home? {blank} energy into {blank} energy? ( this is due today and it would really help me out if you could help me)
Answer:
1. thermal energy
2. Batteries and coal
4. energy conversion
If a girl walks 6km due west changes directions and walk another 5km due north. Find her displacement in both magnitude and direction
Answer:
the girl's displacement in both magnitude and direction is 7.81 m at 50.2⁰ North west.
Explanation:
Given;
6km due west, and
5km due north
The magnitude of her displacement is calculated by forming a right angled triangle. The hypotenuse side of the triangle is the girl's displacement.
d² = 5² + 6²
d² = 25 + 36
d² = 61
d = √61
d = 7.81 m
The direction of the girl is calculated as;
[tex]tan \ \theta = \frac{6}{5} \\\\tan \ \theta = 1.2\\\\\theta = tan^{-1} (1.2)\\\\\theta = 50.2^0[/tex]
Therefore, the girl's displacement in both magnitude and direction is 7.81 m at 50.2⁰ North west.
14. If 100 grams of sodium nitrate are dissolved in 100 grams of water
at 60 degrees C, is the solution formed saturated, unsaturated, or
supersaturated?
Answer:
Unsaturated
Explanation:
the solubility of sodium nitrate is at 60 C is 124g/ml therefore, putting 100 grams will not saturate fully.
state and explain the joules law
Answer:
Joule’s law of heating states that when a current ‘i ' passes through a conductor of resistance ‘r’ for time ‘t’ then the heat developed in the conductor is equal to the product of the square of the current, the resistance and time.
H = i 2 rt
The reason behind the heat produced is the collision of the free electrons with the lattice ions or atoms while accelerating in presence of the external electric field.
we know that
volt= work done/ total charge or v = w/q
from this we get w= vq
we know that current i = q / t
so q = it
putting this in prev equation
we get w = vit
from ohms law v = ir
putting it in prev eq we get
w = irit = i2rt joule as work is stored as heat soH = I2RT Joules
if a current carrying conductor having resistance (r) gets heated by to passing of current (i) for time (t) and the heat thereby produced be H
joules law states that
H propotional to i^ 2 when r and t are constant
H propotional to r when I and t are constant
H propotional to t when r and I constant
what are the unique characteristics of romantic music which are not present in Original Pilipino Music (OPM)
Answer:
ITU Sangat bermanfaaat
The electromagnetic spectrum is divided into regions by Group of answer choices a.wavelengths and frequencies b.the way they are used c.speed d.colors
Answer:
Generally, by wavelengths and frequencies.
Colors only occur for a narrow portion of the spectrum.
The speed for these waves is c the speed of light regardless of wavelength.
The way they are used seems somewhat irrelevant.
The electromagnetic spectrum is divided into regions by wavelengths and frequencies. The spectrum is arranged in the order of increasing frequency.
What is electromagnetic spectrum ?The electromagnetic spectrum is the arrangement of waves in the order increasing frequency or decreasing wavelength. The order of the spectra starts from radio waves, microwaves, infrared, visible light, ultraviolet, x -rays and gamma rays.
The visible light that we can see is in between IR and UV rays. Hence, visible light has a frequency greater than IR rays but shorter than IR. Similarly visible light is longer than UV- rays but less frequency than UV rays.
Gamma rays are the most energetic and shorter waves in the electromagnetic spectrum with smaller wavelength and greater frequency. Hence, options a is correct.
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The change in frequency of a wave as its source moves in relation to an observer.
A)
Ultrasound
B)
Frequency
C)
Doppler Effect
D)
Echo
Answer: B) Frequency
Explanation:
a ball rolled a velocity of 20m/s after 5s it comes to stop what is the acceleration of the ball
Answer:
please find the attached pdf
Explanation:
Mercury has the most eccentric (least circular) orbit of all the planets in the Solar System. At aphelion it is 0.467 AU from the Sun while at perihelion it is only 0.308 AU from the Sun. What is Mercury's orbital period in Earth-days?
Answer:
Mercury's orbital period is approximately 88 days
Explanation:
Mercury's orbit parameters given in the question are;
Mercury's aphelion distance, Rₐ = 0.467 AU
Mercury's perihelion distance, [tex]R_p[/tex] = 0.308 AU
Therefore, the average distance from Mercury to the Sun, 'a', is given as follows;
[tex]a = \dfrac{R_a + R_p}{2}[/tex]
By plugging in the values of 'Rₐ' and '[tex]R_p[/tex]', we get;
[tex]a = \dfrac{R_a + R_p}{2} = \dfrac{0.467 \, AU + 0.308 \, AU}{2} = 0.3875 \, AU[/tex]
a = 0.3875 AU
According to Kepler's third law, we have;
P² = k·a³
Where;
P = The orbital period of the plane
a = The average distance from Mercury to the Sun
k = Constant
When k = 1, we have;
P² = a³
∴ P = √(a³)
From which we have;
P = √(0.3875 AU)³ ≈ 0.241216804711 years
P ≈ 0.2412168 years
1 year = 365 days
∴ 0.241216804711 years = 0.241216804711 years × 365 days/year ≈ 88.0441337 days
0.241216804711 years ≈ 88.0441337 days ≈ 88 days
Mercury's orbital period, P ≈ 88 days.
Please help (choose a b or c)
(the image is attached)
In the adjacent circuit, the voltage across the terminals of the dry cell is equal to 12 V.
The value displayed by the voltmeter is:
a- 0 V
b- 12 V
c- -12 V
The two terminals that correspond to the correct connection of a voltmeter in a circuit are:
a- A and COM
b- A and V
c- V and COM
I GEUSS A and COM is correct answer to this question
Answer:
1. (a) =0
2.(c) = v and COM
The ability of a halogen to react with a metals to form a salt is an example of a ________________ property.
Why is the overall charge of the atom neutral or zero?
A. The zero charge on the neutrons in the nucleus create a neutral atom.
B. The number of protons is equal to the number of electrons
C. Equal numbers of neutrons, protons, and electrons work together to keep the charge of the atom neutral or zero.
D. Atoms are not electrical and therefore have no charge.
Answer:
B
Explanation:
this is because the neutrons do not have a charge, the things that have charge in an atom are electrons and protons.
and in the nucleus of an atom, there are protons and neutrons so you can see that A is not the answer
if you see the periodic table, you will know that the number of electrons and protons are equal, so the charges cancel each other out, hence the charge of an atom will be neutral
let me give you a tip which I got from my teacher, never write there is no charge in the atom, this suggests that there is no protons or electrons.
instead, write, the it is neutral
hope it helps if not please report it so that someone else gets to try it out
A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance).
Answer:
V=14
Explanation:
PE=KE
mgh=1/2mv^2
(2)(9.8)(10)=1/2(2)v^2
(radical) 196=(radical) v
V=14