Question

QUESTION 4 You have two capacitors, one with a larger capacitance than the other. You connect them in series. The total capacitance will be А. The same as the larger capacitance B Greater than the larger capacitance OC. The same as the capacitance of the smaller capacitor D. Between the smaller and larger capacitances E. Less than the capacitance of the smaller capacitor

Answer 1

Solution:

Option E is the correct answer.

The total capacitance will be less than the capacitance of the smaller capacitor.

In order to verify this, let us consider two capacitors with capacitances, $C_{1}=0.1\mu F$ and $C_{2}=0.5\mu F$

When these two capacitors are connected in series, the total capacitance

$C_{T}=\frac{1}{C_{1}}+\frac{1}{C_{2}}$

$C_{T}=\frac{1}{0.1\mu F}+\frac{1}{0.5\mu F}$

$C_{T}=0.0833\mu F$

$C_{T}=0.0833\mu F<0.1\mu F$

So the total capacitance is less than the capacitance of the small capacitor.

So other options are incorrect.