.C. source with e.m.f E V

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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i) A series circuit contains a resistance, R Q, a capacitor, C F, a coil L H; supplied by a
d.c. source with e.m.f E V. Derive an expression for the current in the circuit. Initially
current i=0 A and capacitor voltage vc=0 V. Use vc as the dependent variable.
ii) If the source e.m.f= 20 V, the resistance is 8 2, coil inductance is 500 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 vị + vr + vc= E
2- write the differential equation in terms of vc as stated in the question.
To find other dependent variables, use the equation of vc to derive
their equations.
3- remember the general relations vr=Ri,v1=Li' , q=Cvc, i=q' .
Transcribed Image Text:Question: i) A series circuit contains a resistance, R Q, a capacitor, C F, a coil L H; supplied by a d.c. source with e.m.f E V. Derive an expression for the current in the circuit. Initially current i=0 A and capacitor voltage vc=0 V. Use vc as the dependent variable. ii) If the source e.m.f= 20 V, the resistance is 8 2, coil inductance is 500 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 vị + vr + vc= E 2- write the differential equation in terms of vc as stated in the question. To find other dependent variables, use the equation of vc to derive their equations. 3- remember the general relations vr=Ri,v1=Li' , q=Cvc, i=q' .
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