Question

Which capacitor is required in series with 12 farad to get an equivalent

capacitance of 4 farad.​

Answer 1

The capacitor  of capacitance  6 farad in series with 12 farad to get an equivalent capacitance of 4 farad

Explanation:

Let capacitance of other capacitor=C

Equivalent capacitance =4 farad

A capacitor of capacitance 12 farad and other capacitor C are arranged in series.

Series arrangement: When arrangement is in series then current remain same through all capacitor and potential difference of capacitors are different.

When capacitor are arranged in series then the equivalent capacitance of capacitors

$\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}$

Where

$C_1$=Capacitance of one capacitor

$C_2$=Capacitance of other capacitor arranged in series with $C_1$

C=Equivalent capacitance of capacitor

Substitute the values in the given formula

$\frac{1}{4}=\frac{1}{12}+\frac{1}{C}$

$\frac{1}{4}=\frac{C+12}{12C}$

$\frac{12C}{4}=12+C$

$3C=12+C$

$3C-C=12$

$2C=12$

$C=\frac{12}{2}=6$

Hence, the capacitance of other capacitor=6 farad

#Learns more:

Discuss the series combination of capacitor and derive it's formula?​

https://brainly.in/question/8586594