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08/01/2022 3:27 pm
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Three capacitors C1 = 2μF, C2 = 6μF and C3 = 12μF are connected as shown in figure. Find the ratio of the charges on capacitors C1, C2 and C3 respectively
(1) 2 : 1 : 1
(2) 2 : 3 : 3
(3) 1 : 2 : 2
(4) 3 : 4 : 4
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08/01/2022 3:36 pm
Correct answer: (3) 1 : 2 : 2
Explanation:
(VD – V) C2 + (VD –0) C3 = 0
(VD – V) 6 + (VD –0) 12 = 0
VD – V + 2VD = 0
VD = \(\frac{V}{3}\)
q2 = (V - VD) C2 = \(\Big( V - \frac{V}{3} \Big)(6 \mu F)\)
q2 = (4V)μF
q3 = (VD –0) C3 = \(\frac{V}{3}\) x 12μF = 4VμF
q1 = (VD –0) C1 = V(2μF)
q1 :q2 :q3 = 2 : 4 : 4
q1 :q2 :q3 = 1 : 2 : 2