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Concepts Of Physics MCQ Edition [Volume 2]

Exam: Concepts Of Physics MCQ Edition [Volume 2]
Subject: Physics
Chapter: Electric Current in Conductors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current in Conductors

When connected across an external resistor, the potential...

When connected across an external resistor, the potential difference between the terminals of a battery having an emf of

6.0 \text{ V}

and an internal resistance of

1 \Omega

drops to

5.8 \text{ V}

. Determine the resistance of the external resistor.

Options

A $0.2 \Omega$
B $1 \Omega$
C $29 \Omega$
D $30 \Omega$

Correct answer

C. $29 \Omega$

Step-by-step solution

Given

E = 6.0 \text{ V}

,

r = 1 \Omega

, and

V = 5.8 \text{ V}

.

The terminal potential difference of the battery is given by

V = E - Ir

.

Substituting the given values:

5.8 = 6.0 - I(1)

I = 0.2 \text{ A}

Using Ohm's law for the external resistor,

V = IR

.

5.8 = 0.2 \times R

R = \dfrac{5.8}{0.2} = 29 \Omega

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