for the power supplied by a battery given its voltage and the external load resistance.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
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The question asks for the power supplied by a battery given its voltage and the external load resistance.
Step 1: Identify the given values.
The voltage of the battery is $V = 6\text{V}$.
The external load resistance is $R = 1.25\Omega$.
Step 2: Use the formula for power in terms of voltage and resistance.
The power $P$ supplied to a circuit can be calculated using the formula:
$$ P = \frac{V^2}{R} $$
Step 3: Substitute the given values into the formula and calculate the power.
$$ P = \frac{(6\text{V})^2}{1.25\Omega} $$
$$ P = \frac{36\text{V}^2}{1.25\Omega} $$
$$ P = 28.8\text{W} $$
Step 4: Compare the calculated power with the given options.
The calculated power is $28.8\text{W}$. This matches option (D).
The final answer is $\boxed{\text{D}}$.
What's next?
