Question

A car battery (12 V emf, 0.050 Ω internal resistance) is charged with a 60 A current.

The potential difference across its terminals is:
(i) 9.00 V
(ii) 10.50 V
(iii) 12.00 V
(iv) 13.50 V

Answer 1

The potential difference across the terminals of a 12 V car battery with a 0.050 Ω internal resistance being charged with a 60 A current is 9.00 V, which corresponds to option (i).

Step-by-step explanation:

The question posed involves calculations based on electromotive force (emf), internal resistance, and electric current relevant to a car battery being charged. According to the information, the car battery in question has a 12 V emf and an internal resistance of 0.050 Ω, and it is being charged with a current of 60 A. The potential difference (V) across the terminals of the battery, while it is being charged, can be calculated using the formula V = emf - Ir, where I is the current and r is the internal resistance.

Plugging in the given values: V = 12 V - (60 A × 0.050 Ω) = 12 V - 3 V = 9 V. Therefore, the potential difference across its terminals when the car battery is being charged with a 60 A current is 9.00 V. This corresponds to option (i) in the multiple-choice question provided. Thus, the correct option is (i) 9.00 V.