Question

A potential difference across the terminals of a battery is 50 V when 11 A current is drawn and 60 V, when 1 A current is drawn. The emf and the internal resistance of the battery are?

• A. 62V, 2Ω
• B. 63V, 1Ω
• C. 61V, 1Ω
• D. 64V, 2Ω

Hint:

Use the terminal voltage equation to calculate the internal resistance and emf of a battery.

Answer 1

The Correct Option is C

The emf (\( \mathcal{E} \)) and internal resistance (\( r \)) of the battery can be determined using the following two equations derived from the law of electrical circuits: \[ V = \mathcal{E} - Ir \] Where \( V \) is the terminal voltage, \( I \) is the current, and \( r \) is the internal resistance. By solving the system of equations, the values for \( \mathcal{E} \) and \( r \) can be found.