Three capacitors of 2.0 μ F , 3.0 μ F and 6.0 μ F are connected in series to a 10 V source. The charge on the 3.0 μ F capacitor is

Question

Three capacitors of 2.0 μ F , 3.0 μ F and 6.0 μ F are connected in series to a 10 V source. The charge on the 3.0 μ F capacitor is (A) 5 μ C (B) 10 μ C (C) 12 μ C (D) 15 μ C

Tardigrade Admin · Accepted Answer

Net capacitance =(1/((1)2+(1)3+(1/6))=1 μ F Total charge =C V=1 μ F × 10 V =10 μ C Total charge on every capacitor in series system is same. So charge on 3 μ F is 10 μ C.

Q. Three capacitors of $2.0 μ F, 3.0 μ F$ and $6.0 μ F$ are connected in series to a $10 V$ source. The charge on the $3.0 μ F$ capacitor is

$5 μ C$

$10 μ C$

$12 μ C$

$15 μ C$

Net capacitance $= \frac{1}{( \frac{1}{2} + \frac{1}{3} + \frac{1}{6} )} = 1 μ F$
Total charge $= C V = 1 μ F \times 10 V = 10 μ C$
Total charge on every capacitor in series system is same.
So charge on $3 μ F$ is $10 μ C$ .

Q. Three capacitors of 2.0μF,3.0μF and 6.0μF are connected in series to a 10V source. The charge on the 3.0μF capacitor is

5μC

10μC

12μC

15μC