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Three Capacitors of Capacitances 2 Pf, 3 Pf and 4 Pf Are Connected in Parallel. (A) What is the Total Capacitance of the Combination? (B) Determine the Charge on Each Capacitor If the Combination is Connected to a 100 V Supply. - CBSE (Science) Class 12 - Physics

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Question

Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel.

(a) What is the total capacitance of the combination?

(b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.

Solution

(a) Capacitances of the given capacitors are

`C_1=2pF`

`C_2=3pF`

`C_3=4pF`

For the parallel combination of the capacitors, equivalent capacitorC'is given by the algebraic sum,

C'=2+3+4=9 pF

Therefore, total capacitance of the combination is 9 pF.

(b) Supply voltage, V = 100 V

The voltage through all the three capacitors is same = V = 100 V

Charge on a capacitor of capacitance C and potential difference V is given by the relation,

q = VC … (i)

For C = 2 pF,

Charge = VC=100 x 2=200pC=`2xx10^-19C`

For C = 3 pF,

Charge = VC=100 x 3=300pC=`3xx10^-19C`

For C = 4 pF,

Charge = VC=100 x 4=400pC=`4xx10^-19C`

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Physics Textbook for Class 12 (2018 to Current)
Chapter 2: Electrostatic Potential and Capacitance
Q: 7 | Page no. 87

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Solution Three Capacitors of Capacitances 2 Pf, 3 Pf and 4 Pf Are Connected in Parallel. (A) What is the Total Capacitance of the Combination? (B) Determine the Charge on Each Capacitor If the Combination is Connected to a 100 V Supply. Concept: Combination of Capacitors.
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