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Physics · JEE | Alternating Current

हिन्दी

An alternating voltage given by \( v = 282 \sin(314 t) \) is connected across a pure resistor of \( 50\ \Omega \). What is the rms value of the current flowing through the resistor?

  1. A
    \( 5.64\text{ A} \)
  2. B
    \( 4.0\text{ A} \)
  3. C
    \( 2.82\text{ A} \)
  4. D
    \( 8.0\text{ A} \)
View Answer & Solution

Correct answer · Option B

\( 4.0\text{ A} \)

Explanation

The peak voltage is \( v_m = 282\text{ V} \), so rms voltage is \( V = \frac{v_m}{\sqrt{2}} \approx 200\text{ V} \). The rms current is \( I = \frac{V}{R} = \frac{200}{50} = 4.0\text{ A} \).
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