O An electric circuit contains an electromotive force E of 150 cos 201 volts, a resistance R of 20 ohms, an inductance L of 0.1 henry and a capacitance C of 0.01 farad, where t is the time (in seconds). The differential equation satisfied by the charge Q for the circuit is d?Q dQ L + R + dt2 dt 1 E(t) Find the charge, Q at the time t. Note: Apply the method of solving second order differential equation learnt in the unit.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) An electric circuit contains an electromotive force E of 150 cos 20/ volts, a resistance R of
20 ohms, an inductance L of 0.1 henry and a capacitance C of 0.01 farad, where t is the
time (in seconds). The differential equation satisfied by the charge Q for the circuit is
dQ 1
+R-
dt2
d?Q
L-
+Q = E(t)
dt
Find the charge, Q at the time t.
Note: Apply the method of solving second order differential equation learnt in the unit.
Transcribed Image Text:1) An electric circuit contains an electromotive force E of 150 cos 20/ volts, a resistance R of 20 ohms, an inductance L of 0.1 henry and a capacitance C of 0.01 farad, where t is the time (in seconds). The differential equation satisfied by the charge Q for the circuit is dQ 1 +R- dt2 d?Q L- +Q = E(t) dt Find the charge, Q at the time t. Note: Apply the method of solving second order differential equation learnt in the unit.
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