Question

capacitors with a capacitance of 5µF, 10µF, and 15µF are connected in parallel and charged with a 12-V battery. (A) What is the voltage across each capacitor? (B) What is the charge in each capacitor? (C) Calculate the total capacitance.

Answer 1

Solution;

(a)Capacitors in parallel have same voltage;

$V=V_1=V_2=V_3=12V$

(b)

$Q=CV$

$Q_1=5×12=60\mu C$

$Q_2=10×12=120\mu C$

$Q_3=15×12=180\mu C$

(c)

$C_{eq}=C_1+C_2+C_3$

$C_{eq}=5+10+15=30\mu F$