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The charge Q at time in an electrical circuit is modelled by the differential equation d²Q do L²0 + R¹0 + 10 = E(1), +R Q dt² dt where L, R, C, and E are the inductance, resistance, capacitance and electromotive force, espectively. Using the method of undetermined coefficients, find Q(t), if L=1 henry, = 40 ohm, C=16×10 farad, and E(t) = 100 cos 10t volts.

The charge Q at time in an electrical circuit is modelled by the differential equation d²Q do L²0 + R¹0 + 10 = E(1), +R Q dt² dt where L, R, C, and E are the inductance, resistance, capacitance and electromotive force, espectively. Using the method of undetermined coefficients, find Q(t), if L=1 henry, = 40 ohm, C=16×10 farad, and E(t) = 100 cos 10t volts.

Advanced Engineering Mathematics
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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de + The charge Q at time in an electrical circuit is modelled by the differential equation d²Q dt² dt L + R 1 Q = E (t), C where L, R, C, and E are the inductance, resistance, capacitance and electromotive force, respectively. Using the method of undetermined coefficients, find Q(t), if L=1 henry, R = 40 ohm, C = 16×10+ farad, and E(t) = 100 cos 10t volts.
Transcribed Image Text:de + The charge Q at time in an electrical circuit is modelled by the differential equation d²Q dt² dt L + R 1 Q = E (t), C where L, R, C, and E are the inductance, resistance, capacitance and electromotive force, respectively. Using the method of undetermined coefficients, find Q(t), if L=1 henry, R = 40 ohm, C = 16×10+ farad, and E(t) = 100 cos 10t volts.
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