The parallel-plates in a capacitor, with a plate area 1.2×10−3 cm2 and an air-filled separation of...

The parallel-plates in a capacitor, with a plate area 1.2×10−3 cm2 and an air-filled separation of 10 mm, are charged by a 12 V battery. They are then disconnected from the battery and pushed together (without discharge) to a separation of 3.5 mm.

(a) Find the initial potential difference between the plates and the initial stored energy. (6 points)

(b) Find the final potential difference between the plates and the final stored energy. (6 points)

(c) How much work is required to decrease the separation between the plates? Where does this work come from? Explain. (6 points)

(d) After the decrease in separation, a dielectric of dielectric constant K = 4.5 is added to the system. Find the new potential difference between the plates and the new stored energy. (6 points) (e) How much work is required to add the dielectric between the plates? Where does the work come from in this place? (6 points)

Expert Solution

genius_generous answered 2 years ago

Parallel-plates in a capacitor, with area 1.2×10−3 cm2 and air-filled separation of 10 mm, are charged...

Parallel-plates in a capacitor, with area 1.2×10−3 cm2 and air-filled separation of 10 mm, are charged by a 12 V battery. They are disconnected from the battery and pushed together (with no discharge) to a separation of 3.5 mm. a) Find the initial and final potential difference between the plates and the initial and final stored energy b) How much work is required to decrease the separation between the plates and where does this work come from? c) After the...

The plates of an air-filled parallel-plate capacitor with a plate area of 15.0 cm2 and a...

The plates of an air-filled parallel-plate capacitor with a plate area of 15.0 cm2 and a separation of 8.95 mm are charged to a 170-V potential difference. After the plates are disconnected from the source, a porcelain dielectric with κ = 6.5 is inserted between the plates of the capacitor. (a) What is the charge on the capacitor before and after the dielectric is inserted? Qi = C Qf = C (b) What is the capacitance of the capacitor after...

A parallel plate, air filled capacitor, has plates of area 0.82 m2 and a separation of...

A parallel plate, air filled capacitor, has plates of area 0.82 m2 and a separation of 0.040 mm. (a) Find the capacitance. (b) If a voltage of 25 volts is applied to the capacitor, what is the magnitude of the charge on each plate? (c) What is the energy stored in the capacitor? Now the plates are filled with strontium titanate having a dielectric constant of 310 and a dielectric strength of 8.0 kV/mm. (d) What is the new value...

A dielectric-filled parallel-plate capacitor has plate area A = 10.0 cm2 , plate separation d =...

A dielectric-filled parallel-plate capacitor has plate area A = 10.0 cm2 , plate separation d = 6.00 mm and dielectric constant k = 4.00. The capacitor is connected to a battery that creates a constant voltage V = 15.0 V . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2 . a) Find the energy U1 of the dielectric-filled capacitor. Express your answer numerically in joules. b) The dielectric plate is now slowly pulled out of the capacitor, which remains connected...

A dielectric-filled parallel-plate capacitor has plate area A = 25.0 cm2 , plate separation d =...

A dielectric-filled parallel-plate capacitor has plate area A = 25.0 cm2 , plate separation d = 9.00 mm and dielectric constant k = 2.00. The capacitor is connected to a battery that creates a constant voltage V = 12.5 V . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2 . PART A: U1 was found: U1 = 3.84×10−10 J PART B: The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the...

An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a...

An air-filled parallel-plate capacitor with plate separation d and plate area A is connected to a battery that applies a voltage V0 between plates. With the battery left connected, the plates are moved apart to a distance of 10d. Determine by what factor each of the following quantities changes: (a) V0; (b) C; (c) E; (d) D; (e) Q; (f ) ρS; (g) WE. Repeat the exercise for the case in which the battery is disconnected before the plates are...

A dielectric-filled parallel-plate capacitor has plate area A = 30.0 cm2 , plate separation d= 8.00...

A dielectric-filled parallel-plate capacitor has plate area A = 30.0 cm2 , plate separation d= 8.00 mm and dielectric constant k = 4.00. The capacitor is connected to a battery that creates a constant voltage V= 15.0 V . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2. A) Find the energy U1 of the dielectric-filled capacitor. Express your answer numerically in joules. B) The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery....

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 2.20 mm. A 23.0-V potential difference is applied to these plates. (a) Calculate the electric field between the plates. kV/m (b) Calculate the surface charge density. nc/m2 (c) Calculate the capacitance. pF (d) Calculate the charge on each plate. pC

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated...

An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 2.00 mm. (a) If a 16.0 V potential difference is applied to these plates, calculate the electric field between the plates. kv/m (b) What is the surface charge density? nC/m2 (c) What is the capacitance? pF (d) Find the charge on each plate. pC

A parallel-plate capacitor with plates of area 590 cm2 and is connected across the terminals of...

A parallel-plate capacitor with plates of area 590 cm2 and is connected across the terminals of a battery. After some time has passed, the capacitor is disconnected from the battery. When the plates are then moved 0.48 cm farther apart, the charge on each plate remains constant but the potential difference between the plates increases by 100 V. (a) What is the magnitude of the charge on each plate? (b) Do you expect the energy stored in the capacitor to...

Question