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)

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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Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

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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