In series R - L - C circuit, the root mean square voltage across the resistor and inductor are respectively 400 V and 700 V . If the equation for the applied voltage is E = 500 2 sin ⁡ ω t V , then th

Question

In series R - L - C circuit, the root mean square voltage across the resistor and inductor are respectively 400 V and 700 V . If the equation for the applied voltage is E = 500 2 sin ⁡ ω t V , then the peak voltage across the capacitor is

TestHub · Accepted Answer

V R 2 + V L - V C 2 = E r m s 2 V L - V C 2 = 500 2 - 400 2 V L - V C = ( 500 ) 2 - ( 400 ) 2 = 300 V C = V L - 300 = 700 - 300 = 400 V ∴ V C p e a k = V C 2 = 400 2 V

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