#### Question

Keeping the p.d. constant, the resistance of a circuit is halved. The current will become:

(a) one-fourth

(b) four time

(c) half

(d) double

#### Solution

d) double

As we know from Ohm’s law:

Voltage = Current x Resistance*V* = *IR*

If the voltage is constant, the resistance of the circuit is halved. That is, it becomes *R* / 2.

Current, *I* = *V*/*R**I* = *V*/*R**I* = *V*/*R*/2 = 2 I

Thus by keeping the p.d. constant, the resistance of a circuit is halved and the current is doubled.

Is there an error in this question or solution?

Solution Keeping the P.D. Constant, the Resistance of a Circuit is Halved. the Current Will Become: (A) One-fourth (B) Four Time (C) Half (D) Double Concept: Ohm’s Law.