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In an LCR circuit , can the amplitude of...

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 .

Text Solution

Verified by Experts

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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