8. The p.d., V, between the plates of a capac- itor C charged by a steady voltage E through a resistor R is given by the equation dV CR +V=E. dt (a) Solve the equation for V given that at t=0, V=0. (b) Calculate V, correct to 3 significant figures, when E=25V, C =20 x10-6F, R=200 x103 2 and t=3.0 s.
8. The p.d., V, between the plates of a capac- itor C charged by a steady voltage E through a resistor R is given by the equation dV CR +V=E. dt (a) Solve the equation for V given that at t=0, V=0. (b) Calculate V, correct to 3 significant figures, when E=25V, C =20 x10-6F, R=200 x103 2 and t=3.0 s.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:8. The p.d., V, between the plates of a capac-
itor C charged by a steady voltage E
through a resistor R is given by the equation
dV
CR +V=E.
dt
(a) Solve the equation for V given that at
t=0, V=0.
(b) Calculate V, correct to 3 significant
figures, when E=25V, C =20 x10–6F,
R=200 ×10³ 2 and t=3.0 s.
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