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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

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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

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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.

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Chapter 1: Electricity - Exercise 3

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Lakhmir Singh Physics (Science) [English] Class 10
Chapter 1 Electricity
Exercise 3 | Q 29

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