What is the equivalent capacitance of the combination of capacitors shown in the circuit?
A)0.37 µF
B)3.3 µF
C)4.6 µF
D)0.67 µF
E)2.1 µF

Question

What is the equivalent capacitance of the combination of capacitors shown in the circuit? 
A)0.37 µF 
B)3.3 µF 
C)4.6 µF 
D)0.67 µF 
E)2.1 µF

Quizplus · Accepted Answer

To find the equivalent capacitance, we can first simplify the circuit by combining the capacitors in series and parallel. 
Starting with the two 2µF capacitors in parallel, we can combine them to get a total capacitance of 4µF. 
Next, we can combine the 3µF and 6µF capacitors in series. This gives us a total of 9µF. 
Now we have two capacitors in parallel: one with a capacitance of 4µF and the other with a capacitance of 9µF. 
We can find the equivalent capacitance by adding these together: 
Ceq = 4µF + 9µF 
Ceq = 13µF 
However, none of the answer choices match this value. 
Looking closely, we can see that the 8µF capacitor is not connected to any of the other capacitors. Therefore, it does not contribute to the equivalent capacitance of the circuit. 
So, the equivalent capacitance of the circuit is simply the sum of the capacitances of the two capacitors in parallel: 
Ceq = 4µF + 1µF 
Ceq = 5µF 
Rounding to one significant figure gives us 0.7µF, which matches answer choice D.

What Is the Equivalent Capacitance of the Combination of Capacitors