Question

If the resistance in the circuit is increased four times by keeping the potential difference same , how many is the current in the circuit is _________.
A. remains same
B. four times
C. one fourth
D. half

Answer 1

Keeping P.D. same, the current varies inversely with the resistance.

Therefore,
I1×R1 = I2×R2,
I1×R = I2×4R,
Thus I2 = I1/4, hence option C is correct.

Answer 2

The correct statement will be, “If the resistance in the circuit is increased four times by keeping the potential difference same, then the current in the circuit is one-fourth.”

As per the ohms law, the formula of the voltage is,

Voltage = Current * Resistance

V = I * R

When R = 4 * R then,

V = I * 4 * R

Hence, the current will be,

I = V/ 4 * R