Answer to Question #194074 in Electric Circuits for Rainbow

Question

Determine the charge in each capacitor and the voltage across each capacitor.

Given: V3= 5V

C1=1uF

C2= 1uF

C3= 1uF

C4= 1uF

C5= 1uF

Answer 1

Equivalent Capacitance, $C_{eq}=\bigg(\dfrac{1}{C_1}+\dfrac{1}{C_2}+\dfrac{1}{C_3}+\dfrac{1}{C_4}+\dfrac{1}{C_5}\bigg)^{-1}$

$C_{eq}=\dfrac{1}{5}=0.20\space\mu F$

Voltage across $c_3,\space V_3=5\space V$

Therefore charge stored in $c_3,\space q_3=c_3\times V_3=5\times10^{-6}\space C$

Since, the capacitors are connected in series therefore charge stored in each capacitor is same and so is the voltage as all capacitors have same capacitance i.e $q_1=q_2=q_3=q_4=q_5=5\times10^{-6}\space C$

and

$V_1=V_2=V_3=V_4=V_5=5\space V$

Total voltage, $V=25\space V$