Question

If the resistance in the circuit is increased four times by keeping the potential difference the same, the current in the circuit is ___________.

• A. Remains same
• B. Four times
• C. One fourth
• D. Half

Answer 1

The correct option is C One fourth

According to ohm's law-

$V=IR$

$I=\frac{V}{R}$

$V$: Applied potential difference

$I$: Current in the circuit

$R$: Resistance of the circuit

Now, new resistance becomes four times of initial

$R^{\prime }=4R$

So new current will be-

$I^{\prime }=\frac{V}{4R}$

$V$, remains same

$\Rightarrow I^{\prime }=\frac{I}{4}$

So, the current becomes one-fourth of the initial current when resistance becomes four times.