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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 a 6.0 V battery is being charged by a current of 2.0 A , the...

When a 6.0 V6.0 \text{ V} battery is being charged by a current of 2.0 A2.0 \text{ A}, the potential difference across its terminals is 7.2 V7.2 \text{ V}. Determine the internal resistance of the battery.

Options

  1. A3.6 Ω3.6 \ \Omega
  2. B1.2 Ω1.2 \ \Omega
  3. C3.0 Ω3.0 \ \Omega
  4. D0.6 Ω0.6 \ \Omega

Correct answer

D. 0.6 Ω0.6 \ \Omega

Step-by-step solution

During the charging of a battery, the terminal potential difference VV is given by the equation:

V=E+IrV = E + Ir

where EE is the emf of the battery, II is the charging current, and rr is the internal resistance.

Given values are:
V=7.2 VV = 7.2 \text{ V}
E=6.0 VE = 6.0 \text{ V}
I=2.0 AI = 2.0 \text{ A}

Substituting the given values into the equation:

7.2=6.0+2.0r7.2 = 6.0 + 2.0r

2.0r=1.22.0r = 1.2

r=1.22.0=0.6 Ωr = \dfrac{1.2}{2.0} = 0.6 \ \Omega
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