The charge q on the capacitor in a simple RLC circuit is governed by the equation...
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The charge q on the capacitor in a simple RLC circuit is governed by the equation Lq"(t) + Rq'(t) + (1/C)q(t)=E(t), where L is the inductance, R the resistance, C the capacitance, and E the voltage source. Since the resistance of a resistor increases with temperature, let's assume that the resistor is heated so that the resistance at time t is R(t) = te3t . If L = 0.4 H, C = 5 F, E(t) = 0, q(0) = 20 C and q'(0) = 0 A, find at least the first four non-zero terms in Maclaurin series expansion about t=0 for the charge on the capacitor. The charge q on the capacitor in a simple RLC circuit is governed by the equation Lq"(t) + Rq'(t) + (1/C)q(t)=E(t), where L is the inductance, R the resistance, C the capacitance, and E the voltage source. Since the resistance of a resistor increases with temperature, let's assume that the resistor is heated so that the resistance at time t is R(t) = te3t . If L = 0.4 H, C = 5 F, E(t) = 0, q(0) = 20 C and q'(0) = 0 A, find at least the first four non-zero terms in Maclaurin series expansion about t=0 for the charge on the capacitor.
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To find the Maclaurin series expansion for the charge qt in the given RLC circuit we can use the ini... View the full answer
Related Book For
Numerical Methods for Engineers
ISBN: 978-9352602131
7th edition
Authors: Steven C. Chapra, Raymond P. Canale
Posted Date:
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