Chapter 18, Problem 3P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A battery with an emf of 12.0 V has a terminal voltage of 11.5 V when the current is 3.00 A (a) Calculate the battery’s internal resistance r. (b) Find the load resistance R.

(a)

To determine
The battery’s internal resistance.

Explanation

Given Info: The emf of the battery is 12.0 V, terminal potential difference is 11.5 V, and current through the circuit is 3.00 A.

Explanation:

The terminal potential difference is related with the emf and internal resistance of the

Battery is,

Î”V=Îµâˆ’Ir

• I is the current through the circuit,
• Î”V is the potential difference across the battery,
• Îµ is the emf of the battery,
• r is the internal resistance of the battery,

Rewrite the above relation in terms of internal resistance.

âˆ’Ir=Î”Vâˆ’ÎµIr=Îµâˆ’Î”Vr=Îµâˆ’Î”VI

Substitute 12

(b)

To determine
The load resistance of the battery.

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