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MHT CET202410 May 2024Evening ShiftPhysicsAlternating CurrentActual

An a.c. voltage source V = V ₀ t . is connected across resistance ' R ' and capacitance ' C ' in series. It is given that R= 1 c and the peak current is I ₀ . If the angular frequency of the voltage source is changed to ( 3 ) , then the new peak current in the circuit is

Options

  1. AI ₀ 2
  2. BI ₀ 2
  3. C2 I ₀
  4. D3 I ₀

Correct answer

B. I ₀ 2

Step-by-step solution

Given: R= 1 C = X _ c . aligned Z & = R^2+X_C^2 = 2 R I₀ & = V₀ Z = V₀ 2 R & I₀ 2 = V₀ 2 R ...(i) aligned When becomes 1 3 times, X_C will become 3 times, i.e., 3 R . array ll & Z^ = R^2+( 3 R)^2 =2 R & I₀^ = V₀ Z^ = V₀ 2 R = I₀ 2 ...[From(i)] array

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