Question

1.) A parallel-plate capacitor is constructed from two circular plates with diameter 5.0 cm separated by...

1.) A parallel-plate capacitor is constructed from two circular plates with diameter 5.0 cm separated by 0.20 mm. What charge will collect on the plates if the capacitor is connected to a potential difference of 35.0 V?

2.)The capacitor from the previous problem is now disconnected from the voltage source. The separation between the capacitor plates is quadrupled and an insulator is inserted between the plates. The voltage between the plates is measured to be 68.3 V. Find the dielectric constant of the insulator.

3.)A battery with an emf = 6.00 V and an internal resistance of 10.30 ? is connected to a 270 ? resistor. Find the power dissipated in the external resistor?

Homework Answers

Answer #1

(1) Diameter d = 5 cm

so, radius r = d/2= 5/2 = 2.5 cm = 0.025 m

so, Cross-sectional area A = pi*r^2 = 3.141*0.025^2 = 0.00196 m^2

The expression for the capacitance C= k*A / d = (1*0.00196) / (0.20*10^-3) = 9.81 F

So, the cahrge on the plates Q = C*V = 9.81*35 = 343.35 C

(2) New capacitance C1 = k1*A / (4*d) = k1*(9.81/4) = k1*2.45

Q will remain constant.

so -

343.35 = k1*2.45 * 68.3

=> k1 = 343.35 / (2.45*68.3) = 2.05

(3) Current I = 6.0 / (10.3 + 270) = 0.0214 A

Power dissipated in the external resistor P = I^2 * 270 = 0.0214^2 * 270 = 0.124 W.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A parallel-plate capacitor is constructed of plates with area 2.5 m2 that are separated by 0.5...
A parallel-plate capacitor is constructed of plates with area 2.5 m2 that are separated by 0.5 mm of air (dielectric constant Ka = 1:0006). The capacitor is connected to a 9 V battery and fully charged. The battery is then disconnected, and quartz is inserted to ll the gap between the plates (dielectric constant Kq = 4:3). Determine whether the energy density of this capacitor increased or decreased when the quartz was inserted, and by how much.
A parallel plate capacitor is made from two plates 7 cm^2 in area, with a plate...
A parallel plate capacitor is made from two plates 7 cm^2 in area, with a plate separation of 3 mm. The capacitor is fully charged across a 30 V battery, and then disconnected. How much charge is on the capacitor? Now material with a dielectric constant of 30 is inserted to fill the space between the plates, (with the battery disconnected), What is the charge on the capacitor? What is the energy stored in the capacitor? What the field between...
A parallel plate capacitor in air is constructed with a plate area of 7.75cm2 and a...
A parallel plate capacitor in air is constructed with a plate area of 7.75cm2 and a plate separation of 0.664mm. A) Determine the value of the capacitance of this parallel plate capacitor. B) This capacitor is placed across a 21.0 V battery and allowed to fully charge. What is the value of this charge with included units. C) When fully charged, what is the energy stored inside the capacitor? D) With the battery still connected, a pyrex glass dielectric material...
A parallel-plate capacitor is connected to a battery and then disconnected. If a dielectric is inserted...
A parallel-plate capacitor is connected to a battery and then disconnected. If a dielectric is inserted between the plates, what happens to (a) the capacitance and (b) the voltage?
A parallel plate capacitor with a plate area of 20.0 cm2 and plate separation of 8.00...
A parallel plate capacitor with a plate area of 20.0 cm2 and plate separation of 8.00 mm is connected to a constant potential difference of 5.00 V. A dielectric with a dielectric constant of 4.00 is inserted between the plates. a) What is the energy stored in the capacitor? b) The capacitor is disconnected from the battery and the dielectric is removed from the interior of the capacitor. What is the new energy of the capacitor now? c) What does...
Consider a parallel plate capacitor with plate dimensions of 10 cm x 10 cm and a...
Consider a parallel plate capacitor with plate dimensions of 10 cm x 10 cm and a gap spacing of 2.00 cm. The capacitor is connected to a battery supplying a voltage across the capacitor of 2.00 kV. After the capacitor is fully charged, the battery is disconnected. A dielectric material is then inserted into the vacuum space to completely fill the capacitor. This result in a decrease of the capacitor voltage to 1.00 kV. a.Find the vacuum electric field between...
Two experiments are carried out with a parallel plate capacitor (a) The capacitor is charged to...
Two experiments are carried out with a parallel plate capacitor (a) The capacitor is charged to a potential difference of 100 V, disconnected from the source, and then a slab of dielectric is inserted between the plates. (b) The capacitor is connected to a battery which maintains a potential difference of 100 V between the capacitor plates and then a slab of dielectric is inserted between the plates. In which experiment is the energy stored by the capacitor greatest? a)...
A parallel-plate air capacitor of area A= 14.0 cm2 and plate separation d= 2.20 mm is...
A parallel-plate air capacitor of area A= 14.0 cm2 and plate separation d= 2.20 mm is charged by a battery to a voltage 56.0 V. If a dielectric material with κ = 4.00 is inserted so that it fills the volume between the plates (with the capacitor still connected to the battery), how much additional charge will flow from the battery onto the positive plate?
A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is...
A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False. 1. After being disconnected from the battery, inserting a dielectric with ? will decrease U. 2.With the capacitor connected to the battery, decreasing d increases...
A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is...
A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False. After being disconnected from the battery, inserting a dielectric with κ will increase U. After being disconnected from the battery, inserting a dielectric with κ...