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In an LCR circuit , can the amplitude of the voltage across L be greater than that of an emf of the generator . The LCR circuit contains an AC source of emf (Generator emf)E = 10 V,R = 10 Omega ,L = 1H, C = 1mu F . Find the amplitude of the voltage across L at resonance condition . |
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Answer» Solution :Voltage ACROSS ` L = V_L = IX_L = I omegaL` At resosnance `omega = (1)/(sqrtLC)and I = E/R` ` therefore V_L = I. (1)/(sqrtLC).L = E/R sqrt(L/C) = 10/10 sqrt( (1)/(1 XX 10^(-6) ) ) = 1000 V` this is MUCH larger than the generator emf E = 10 V . so the answer is yes . |
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