[Homework Home > Capacitance]

[1]A capacitor is charged with C and has a V potential difference across its terminals. What is its capacitance and stored energy?

[2]A Farad capacitor is charged with C . What is the potential difference across its terminals?

[3]Two parallel plates, each having an area of m2 are separated by m . What is the capacitance of the plates?

[4]Two parallel plates, each having an area of m2 are separated by m . Between the plates, a dielectric with a constant of K= none is inserted. What is the capacitance of the plates?

[5]An air filled capacitor consists of two parallel plates, each with an area of m2 , separated by a distance of m . If a Volt potential difference is applied to these plates, calculate:

  1. the electric field between the plates
  2. the surface charge density on each plates
  3. the capacitance
  4. the charge on each plate

[6]A circular parallel plate capacitor with spacing m is charged to produce an electric field of E= N/C between the plates. What plate radius is required if the stored charge is to be q= C ?

[7]When the voltage applied to a capacitor increases from V to V , the charge on the capacitor increases by Coulombs . Determine the capacitance.

[8]Three capacitors are connected as shown here.

C1= \mu F , C2= \mu F , and C3= \mu F

  1. What is the equivalent capacitance of this circuit?
  2. If a Volt battery is connected across the black dots, calculate the potential difference across each capacitor, and the charge on each.

[9]In this circuit, each capacitor has the same capacitance, C= \mu F .

What is the effective capacitance of this circuit?

[10]Four capacitors are connected as shown here.

C1= \mu F , C2= \mu F , C3= \mu F , and C4= \mu F .

  1. What is the equivalent capacitance of this circuit?
  2. If a Volt battery is connected across the points A and B, calculate the potential difference across each capacitor, and the charge on each.

[11]Find the equivalent capacitance of this circuit, given that

C1= \mu F , C2= \mu F , C3= \mu F , C4= \mu F . C5= \mu F , and C6= \mu F .

[12]Three capacitors of \mu F , \mu F , and \mu F are connected to the terminal of a Volt battery. How much energy does the battery supply if the capacitors are connected in series? In parallel?

[13]Look at this circuit, where C1= \mu F , C2= \mu F , and V= Volt . Both capacitors are uncharged.

C1 is first charged by closing switch S1. Then S1 is opened, and the charge capacitor is connected to C2 by closing S2.

Find the initial charge acquired by C1 when S1 is closed, and the final charges on C1 and C2 when S2 is closed.