Question

Two capacitors of capacitance 6 µF and 4 µF are put in series across a 120 V battery. What is the potential difference across the 4 µF capacitor ?​

Answer 1

Two capacitors of capacitances 4μF and 6μF are connected across a 120 V battery in series with each other. What is the potential difference across the 4μF capacitor?

Answer 2

Given:

Two capacitors of capacitance 6 µF and 4 µF are put in series across a 120 V battery.

To find:

Potential difference across the 4 µF capacitor?

Calculation:

Net capacitance is :

$C = \dfrac{4 \times 6}{4 + 6} = 2.4 \: \mu F$

Now, net charge in circuit :

$q = C \times V$

$\implies q = 2.4\times 120$

$\implies q = 288 \: \mu C$

Now, potential difference across 4 uF capacitor:

$V = \dfrac{q}{C_{4 \mu F}}$

$\implies V = \dfrac{288}{4}$

$\implies V = 72 \: Volt$

So, potential difference across the 4 uF capacitor is 72 Volts.