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kodGreya [7K]
3 years ago
9

A parallel-plate air capacitor is made from two plates 0.190 m square, spaced 0.770 cm apart. It is connected to a 120 V battery

. If the plates are pulled apart to a separation of 1.54 cm, suppose the battery remains connected while the plates are pulled apart.
a. What is the capacitance?
b. What is the charge on each plate?
c. What is the electric field between theplates?
d. What is the energy stored in the capacitor?
Physics
2 answers:
Naddik [55]3 years ago
6 0

Answer:

aaksj

Explanation:

a) the capacitance is given of a plate capacitor is given by:

C = \epsilon_0*(A/d)

Where \epsilon_0 is a constant that represents the insulator between the plates (in this case air, \epsilon_0 = 8.84*10^(-12) F/m), A is the plate's area and d is the distance between the plates. So we have:

The plates are squares so their area is given by:

A = L^2 = 0.19^2 = 0.0361 m^2

C = 8.84*10^(-12)*(0.0361/0.0077) = 8.84*10^(-12) * 4.6883 = 41.444*10^(-12) F

b) The charge on the plates is given by the product of the capacitance by the voltage applied to it:

Q = C*V = 41.444*10^(-12)*120 = 4973.361 * 10^(-12) C = 4.973 * 10^(-9) C

c) The electric field on a capacitor is given by:

E = Q/(A*\epsilon_0) = [4.973*10^(-9)]/[0.0361*8.84*10^(-12)]

E = [4.973*10^(-9)]/[0.3191*10^(-12)] = 15.58*10^(3) V/m

d) The energy stored on the capacitor is given by:

W = 0.5*(C*V^2) = 0.5*[41.444*10^(-12) * (120)^2] = 298396.8*10^(-12) = 0.298 * 10 ^6 J

liberstina [14]3 years ago
6 0

Answer:

a. C=2.18*10^{-10}F

b. Q=2.62*10^{-8}C

c. E= 15584V/m

d. energy=3.14*10^{-2}J

Explanation:

The question give:

  • Area: A=0.190m^{2}
  • separated distance: d=0.770cm, d=0.0077m
  • and voltage:  V=120volts
  • E_{0} =8.854*10^{-12}C^{2}/Nm^{2}

a. To find the capacitance we can use

     C=\frac{E_{0}A }{d}     since we have d A and E_{0}, where

    C=8.854*10^{-12}C^{2}/Nm^{2}*0.190m^{2}/0.0077m

    C=2.18*10^{-10}F

b.To find charge we have to use:

   Q=CV   since

   Q=(2.18*10^{-10}F)*(120v)

   Q=2.62*10^{-8}C

c. To find electric field between the plates, that is potential difference between two plates:

    E= \frac{V}{d}    E= \frac{120}{0.0077}  

    E= 15584V/m

d.To find energy stored in the capacitor:

 we can use

 energy=\frac{1}{2}CV^{2}

energy=(2.18*10^{-10}F *120^{2})/2

energy=3.14*10^{-2}J

     

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Answer:

b) Betelgeuse would be \approx 1.43 \cdot 10^{6} times brighter than Sirius

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Explanation:

The start brightness is related to it luminosity thought the following equation:

B = \displaystyle{\frac{L}{4\pi d^2}} (1)

where B is the brightness, L is the star luminosity and d, the distance from the star to the point where the brightness is calculated (measured). Thus:

b) B_{Betelgeuse} = \displaystyle{\frac{10^{10}L_{Sun}}{4\pi (427\ ly)^2}} and B_{Sirius} = \displaystyle{\frac{26L_{Sun}}{4\pi (26\ ly)^2}} where L_{Sun} is the Sun luminosity (3.9 x 10^{26} W) but we don't need to know this value for solving the problem. ly is light years.

Finding the ratio between the two brightness we get:

\displaystyle{\frac{B_{Betelgeuse}}{B_{Sirius}}=\frac{10^{10}L_{Sun}}{4\pi (427\ ly)^2} \times \frac{4\pi (26\ ly)^2}{26L_{Sun}} \approx 1.43 \cdot 10^{6} }

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\displaystyle{\frac{B_{Betelgeuse}}{B_{Sun}}=\frac{10^{10}L_{Sun}}{4\pi (427\ ly)^2} \times \frac{4\pi (1.581\cdot 10^{-5}\ ly)^2}{1\ L_{Sun}} \approx 1.37 \cdot 10^{-5} }

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A 2.00 kg block hangs from a spring balance calibrated in Newtons that is attached to the ceiling of an elevator.(a) What does t
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Answer:

Part a)

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Part b)

Reading = 2.00 kg

Part c)

Reading = 4.04 kg

Part d)

from t = 0 to t = 4.9 s

so the reading of the scale will be same as that of weight of the block

Then its speed will reduce to zero in next 3.2 s

from t = 4.9 to t = 8.1 s

The reading of the scale will be less than the actual mass

Explanation:

Part a)

When elevator is ascending with constant speed then we will have

F_{net} = 0

T - mg = 0

T = mg

So it will read same as that of the mass

Reading = 2.00 kg

Part b)

When elevator is decending with constant speed then we will have

F_{net} = 0

T - mg = 0

T = mg

So it will read same as that of the mass

Reading = 2.00 kg

Part c)

When elevator is ascending with constant speed 39 m/s and acceleration 10 m/s/s then we will have

F_{net} = ma

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so the reading of the scale will be same as that of weight of the block

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