AIIMS2002Physics-Electrostatics
AIIMS 2002 Physics Capacitors in Series and Parallel MCQ Question
Type: MCQ-numerical-Hard-Class 12
In the given figure, the capacitance C₁, C₃, C₅ have a capacitance 4 μF each. If the capacitor C₂ has a capacitance 10 μF, then the effective capacitance between A and B will be
A
2 μF
B
6 μF
C
4 μF
D
8 μF
Correct Answer
Option C
Detailed Explanation
Capacitance of capacitors C1, C3, C4, C5 = 4 μF each and capacitance of capacitor C2 = 10 μF. If a battery is applied across af and B, the points b and c will be at the same potential (since C1 = C4 = C3 = C5 = 4 μF). Therefore no charge flows through C2. We have the capacitors C1 and C5 in series. Therefore their equivalent capacitance, C'' = C1×C5 / C1+C5 = 4×4 / 4+4 = 2 μF. Similarly, C4 and C3 are in series. Therefore their equivalent capacitance, C'' = C3×C4 / C3+C4 = 4×4 / 4+4 = 2 μF.
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