A parallel plate capacitor has plates of area 0.880 m2, separated by a distance of 4.00 mm in a vacuum. It is connected to a dc source of potential difference 6.00 kV. Calculate:
a the capacitance of the capacitor
b the charge on one of the plates
c the electric field between the plates
d the charge per unit area on one of the plates.
Question 1
1.
a the capacitance of the capacitor ( answer in nF)
Question 2
2.
b the charge on one of the plates
Question 3
3.
c the electric field between the plates
Question 4
4.
d the charge per unit area on one of the plates.
Question 5
5.
A parallel plate capacitor in a vacuum has a capacitance of 1.0 F. The plates are separated by a distance of 1 cm. Calculate the area of one of the capacitor plates. Comment on your answer.
Question 6
6.
Calculate the charge on one of the plates of a parallel plate capacitor of area 0.25m2.The plates are separated by a distance of 8.0 mm, in a vacuum.The potential difference across the plates is 24 V. ( answer in nC)
Question 7
7.
Two capacitors of capacitance 12pF and 4.0pF are connected in parallel to a source of potential difference 9.0 V. Calculate the charge on each capacitor. ( answer in pC)
Question 8
8.
Two capacitors of capacitance 12pF and 4.0pF are connected in series to a source of potential difference 6.0 V. Calculate the charge and potential difference on the 12 pF capacitor
Question 9
9.
Find the charge on and potential difference across each capacitor in the figurewhen points A and B are connected to a battery of emf 12V.The capacitors all have a capacitance of 12pF.
Question 10
10.
The figure shows two capacitors connected in a circuit.
The first capacitor has capacitance 3.20μF and has been charged by connecting it to a source of emf 12.0V.The other capacitor has capacitance 9.25μF and is initially uncharged.
When the switch is closed charge will move from one capacitor to the other.
a Calculate the charge and potential difference for each capacitor after the switch is closed and charge no longer moves.
Question 11
11.
b Compare the energy stored before the switch is closed with that stored after the switch is closed.
Question 12
12.
c Comment on the answer to b.
Question 13
13.
A capacitor in a vacuum has capacitance 6.00pF and has been charged by a battery of emf 12.0V.
a For the capacitor in vacuum, calculate the energy stored in the electric field. ( answer in pJ)
Question 14
14.
The battery is removed. A dielectric with ε = 6ε0 is now inserted in between the plates of the capacitor.