Question: How to solve this RLC Circuit through differential equations using Laplace Transform? E(t) is the alternating voltage. I already got the differential equations through Kirchhoff's

How to solve this RLC Circuit through differential equations using Laplace Transform?

E(t) is the alternating voltage. I already got the differential equations through Kirchhoff's Voltage and Current Law, but I'm kind of stuck. Provide explanation and sol'n pls! Thanks.

GIVEN : E(t ) = IV, Io and Qo = 0 R1 = 6 2 1 R2 = 5 12 , R3 = 2 2 , C= 1/5 F L = 1 . 8 H , I1 (0 ) = 13 A , Q (0) = 30 CIRCUIT : N1 E(t) 1I2 R1 3 R 2 QIs R3 + N 2 L Through KVL and KCL dI1 + R 2 dQ - R2 - R 1 de L dt : I1 L dQ dt R3 + R2 ( ELt ) - - Q (t) ) + R2 R3 + R2 I1 CS Scanned with CamScanner

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