If all the four capacitors have equal values of 50 $\mu$F then calculate the equivalent capacitance of the circuit shown above.
A) 50 $\mu$F
B) 30 $\mu$F
C) 75 $\mu$F
D) 100 $\mu$F
E) 83 $\mu$F

Question

If all the four capacitors have equal values of 50 $\mu$F then calculate the equivalent capacitance of the circuit shown above.
A) 50 $\mu$F 
B) 30 $\mu$F 
C) 75 $\mu$F 
D) 100 $\mu$F 
E) 83 $\mu$F

Quizplus · Accepted Answer

The circuit can be simplified as two capacitors in parallel with each other, and then these two equivalent capacitors are in series. The equivalent capacitance is given as:

C_parallel = C1 + C2 = 50μF + 50 μF = 100 μF

C_series = C3 + C4 = 50 μF + 50 μF = 100 μF

C_eq = 1 / (1/C_parallel + 1/C_series) = 1 / (1/100μF + 1/100μF) = 50μF

Therefore, the equivalent capacitance of the circuit is 50 μF, which is option B.

If All the Four Capacitors Have Equal Values of 50 μ\muμ

If All the Four Capacitors Have Equal Values of 50 $\mu$