1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Find the equivalent capacitance of the system between points A and B. All the capacitors have equal capacitance C.

A
4C3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
4C9
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
7C6
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
7C9
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 4C3This circuit is symmetrical about the perpendicular bisector of AB. Hence, points X,Y and Z are equipotential points. We can see clearly from above circuit, capacitors AX and AY are in parallel combination, and similarly capacitors 1Z and 1Y are also in parallel combination. So, their equivalent capacitance will be C+C=2C. Since, 2C and C are in series, so their equivalent will be 2C×C2C+C=2C3 Again, 2C3 and 2C are in parallel, so, their equivalent capacitance will be 2C3+2C=8C3 Both are in series, so, the equivalent capacitance of the circuit will be Ceq=8C6=4C3 Therefore, option (A) is the correct answer.

Suggest Corrections
0
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program