Identify the given values for the transformer.
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.
ScanSolve AI Answer
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C
Step 1: Identify the given values for the transformer.
Primary voltage, $V_p = 200 \text{ V}$
Primary current, $I_p = 30 \text{ A}$
Output voltage, $V_s = 450 \text{ V}$
Output current, $I_s = ?$
Step 2: Apply the principle of conservation of power for an ideal transformer.
For an ideal transformer, the input power equals the output power.
$$P_p = P_s$$
$$V_p I_p = V_s I_s$$
Step 3: Substitute the known values into the equation and solve for the output current $I_s$.
$$(200 \text{ V}) \times (30 \text{ A}) = (450 \text{ V}) \times I_s$$
$$6000 \text{ VA} = 450 \text{ V} \times I_s$$
$$I_s = \frac{6000 \text{ VA}}{450 \text{ V}}$$
$$I_s = \frac{600}{45} \text{ A}$$
$$I_s = \frac{40}{3} \text{ A}$$
$$I_s \approx 13.33 \text{ A}$$
The output current is approximately $13.33 \text{ A}$. This matches option C.
The final answer is $\boxed{\text{13.33A}}$.
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