WBJEE · Physics · Alternating Current
An alternating current of rms value \(10 \mathrm{~A}\) is passed through a \(12 \Omega\) resistor. The maximum potential difference across the resistor is
- A \(20 \mathrm{~V}\)
- B \(90 \mathrm{~V}\)
- C \(1969.68 \mathrm{~V}\)
- D none
Answer & Solution
Correct Answer
(C) \(1969.68 \mathrm{~V}\)
Step-by-step Solution
Detailed explanation
\(I_{\mathrm{rms}}=10 \mathrm{~A}\) \(\begin{aligned} & I_{r m s}=\frac{I_0}{\sqrt{2}} \Rightarrow I_0=\sqrt{2} \times 10=10 \sqrt{2} \\ & \text { Max. P.D. }=\sqrt{2} \times 10 \times 12=120 \times 1.414=169.68 \mathrm{~V}\end{aligned}\)
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