# `At what angular frequency is the voltage amplitude across (a)resistor, (b) inductor, (c) capacitor, in an LCR series circuit at maximum value?`

Grade:12

## 1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear ravi

current in LC R circuit

i = V/[R2 + (1/wC -wL)2]1/2

voltage across resistor  = iR  = VR /[R2 + (1/wC -wL)2]1/2

voltage across inductor  = iwL  = VwL /[R2 + (1/wC -wL)2]1/2

voltage across capacitor  = i/wc  = V /wC[R2 + (1/wC -wL)2]1/2

for maximum value differentiate each w.r.t w and put equal to zero

for resister w=1/√LC

for inductor  =√[2C/(2L3 -CL2R2)]

for capacitor=√[(2L-CR2)/2L2 ]

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