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A series circuit contains a resistance, R, a capacitor, C, supplied by a d.c. source with e.m.f E volt. i) Draw the circuit diagram showing all the elements and variables. ii) Derive an expression for the current in the circuit. The initial capacitor voltage = 0 V iii) If the source e.m.f = 25 V, the resistance is 12.5 2 and the capacitor is 16 mF, calculate the capacitor voltage and the current at t = 100 ms. Hints: capacitor charge q = C.v, capacitor current i= q', we have two possibilities for the solution: - Either write the D.E. using capacitor voltage, ve, as the dependent variable then find expression for the current. - Or write the D.E. using capacitor charge as the dependent variable then find expression for the current.

A series circuit contains a resistance, R, a capacitor, C, supplied by a d.c. source with e.m.f E volt. i) Draw the circuit diagram showing all the elements and variables. ii) Derive an expression for the current in the circuit. The initial capacitor voltage = 0 V iii) If the source e.m.f = 25 V, the resistance is 12.5 2 and the capacitor is 16 mF, calculate the capacitor voltage and the current at t = 100 ms. Hints: capacitor charge q = C.v, capacitor current i= q', we have two possibilities for the solution: - Either write the D.E. using capacitor voltage, ve, as the dependent variable then find expression for the current. - Or write the D.E. using capacitor charge as the dependent variable then find expression for the current.

Introductory Circuit Analysis (13th Edition)
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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A series circuit contains a resistance, R, a capacitor, C, supplied by a d.c. source with e.m.f E volt. i) Draw the circuit diagram showing all the elements and variables. ii) Derive an expression for the current in the circuit. The initial capacitor voltage 0 V iii) If the source e.m.f = 25 V, the resistance is 12.5 Q and the capacitor is 16 mF, calculate the capacitor voltage and the current at t = 100 ms. Hints: capacitor charge q = C.v, capacitor current i= q', we have two possibilities for the solution: - Either write the D.E. using capacitor voltage, ve, as the dependent variable then find expression for the current. - Or write the D.E. using capacitor charge as the dependent variable then find expression for the current.
Transcribed Image Text:A series circuit contains a resistance, R, a capacitor, C, supplied by a d.c. source with e.m.f E volt. i) Draw the circuit diagram showing all the elements and variables. ii) Derive an expression for the current in the circuit. The initial capacitor voltage 0 V iii) If the source e.m.f = 25 V, the resistance is 12.5 Q and the capacitor is 16 mF, calculate the capacitor voltage and the current at t = 100 ms. Hints: capacitor charge q = C.v, capacitor current i= q', we have two possibilities for the solution: - Either write the D.E. using capacitor voltage, ve, as the dependent variable then find expression for the current. - Or write the D.E. using capacitor charge as the dependent variable then find expression for the current.
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