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Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC- series circuit is given by d² q L dq + R 1 + զ dt2 dt 79 = E(t). (a) Use the Laplace transform to find q(t) when L = 1 henry, R = 30 ohms, C = 0.005 farad, E(t) = 150 V, q(0) = 0, and q'(0) = 0. (b) What is the current i(t)?

Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC- series circuit is given by d² q L dq + R 1 + զ dt2 dt 79 = E(t). (a) Use the Laplace transform to find q(t) when L = 1 henry, R = 30 ohms, C = 0.005 farad, E(t) = 150 V, q(0) = 0, and q'(0) = 0. (b) What is the current i(t)?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC- series circuit is given by d² q L dq + R 1 + զ dt2 dt 79 = E(t). (a) Use the Laplace transform to find q(t) when L = 1 henry, R = 30 ohms, C = 0.005 farad, E(t) = 150 V, q(0) = 0, and q'(0) = 0. (b) What is the current i(t)?
Transcribed Image Text:Recall that the differential equation for the instantaneous charge q(t) on the capacitor in an LRC- series circuit is given by d² q L dq + R 1 + զ dt2 dt 79 = E(t). (a) Use the Laplace transform to find q(t) when L = 1 henry, R = 30 ohms, C = 0.005 farad, E(t) = 150 V, q(0) = 0, and q'(0) = 0. (b) What is the current i(t)?
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