for the power supplied by a battery given its voltage and the external load resistance.

Question

ScanSolve AI Tutor · Accepted Answer

The question asks for the power supplied by a battery given its voltage and the external load resistance.

Identify the given values.
The voltage of the battery is $V = 6\text{V}$ .
The external load resistance is $R = 1.25\Omega$ .
Use the formula for power in terms of voltage and resistance.
The power $P$ supplied to a circuit can be calculated using the formula:
$P = \frac{V^2}{R}$
Substitute the given values into the formula and calculate the power.
$P = \frac{(6\text{V})^2}{1.25\Omega}$ $P = \frac{36\text{V}^2}{1.25\Omega}$ $P = 28.8\text{W}$
Compare the calculated power with the given options.
The calculated power is $28.8\text{W}$ . This matches option (D).

The final answer is $\text{D}$ .

For the power supplied by a battery given its voltage and the external load resistance.