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COMEDK2013PhysicsAlternating Current

In an L-C-R circuit, the potential difference between the terminals of the inductance is 60 ~V , between the terminals of the capacitor is 30 ~V and that between the terminals of resistance is 40 ~V . The supply voltage will be equal to

Options

  1. A130 ~V
  2. B10 ~V
  3. C50 ~V
  4. D70 ~V

Correct answer

C. 50 ~V

Step-by-step solution

Given, V_ R =40 ~V , V_ L =60 ~V , V_ C =30 ~V For an L-C-R circuit, the supply voltage aligned V &= V_ R ²+ (V_ L -V_ C )² &= 40²+(60-30)² &= 40²+30² &= 1600+900 = 2500 =50 ~V aligned

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