In the circuit shown,what would be the equivalent single capacitor which would replace the three?

Question

Quizplus · Accepted Answer

We know that capacitors in parallel add up, so the equivalent capacitance for C1 and C2 would be C1 + C2.
Now we need to find the equivalent capacitance for C3 in series with C1 and C2.

The formula for calculating the equivalent capacitance for capacitors in series is given as:
1/Ceq = 1/C1 + 1/C2 + 1/C3

Substituting the given capacitance values, we get:
1/Ceq = 1/C1 + 1/C2 + 1/C3
1/Ceq = 1/2C + 1/3C + 1/2C
1/Ceq = 4/6C
1/Ceq = 2/3C
Ceq = 3/2C

Therefore, the equivalent single capacitor that would replace the three capacitors is 2 C/3.

In the Circuit Shown,what Would Be the Equivalent Single Capacitor