i) A series circuit contains a resistance, R 2, a capacitor, C F, a coil L H; supplied by a d.c. source with e.m.fE V. Derive an expression for the current in the circuit for critical damping condition. The initial current i=0 A and the capacitor voltage vc =0 V. ii) If the source e.m.f D25 V, coil inductance is 600 mH and the capacitor is 200 mF, what is the voltage across the capacitor at t = 1.0 s. Hints: 1- use KVL to write equation v + VR+ vc E 2- make use of vz -Li', VR Ri, vc=q/C and i-q' to write differential equation in terms of q 3- remember for critical damping the C.F y=(A+Bt) e", because B = 0 4- the value of R can be found for critical damping condition from L and C.

i) A series circuit contains a resistance, R 2, a capacitor, C F, a coil L H; supplied by a d.c. source with e.m.fE V. Derive an expression for the current in the circuit for critical damping condition. The initial current i=0 A and the capacitor voltage vc =0 V. ii) If the source e.m.f D25 V, coil inductance is 600 mH and the capacitor is 200 mF, what is the voltage across the capacitor at t = 1.0 s. Hints: 1- use KVL to write equation v + VR+ vc E 2- make use of vz -Li', VR Ri, vc=q/C and i-q' to write differential equation in terms of q 3- remember for critical damping the C.F y=(A+Bt) e", because B = 0 4- the value of R can be found for critical damping condition from L and C.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter7: Alternating Current, Power Distribution, And Voltage Systems

Section: Chapter Questions

Problem 5RQ

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