Suppose an RC series circuit has a variable re th
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:4. Suppose an RC series circuit has a variable resistor. If the resistance at time t is given
by R=kı +kzt, where kı > 0 and k2 > 0, then the charge q(t) for the circuit can be modelled
by a differential equation
(ki + kat)-
dq
C9 = E(t)
dt
Show that if E(t) = Eo and q(0) = qo, then
ki
q(t) = Eo C + (40 – Eo C) (k + kzt)
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