To determine The model of given RC -circuit and the current due to a constant E in the circuit. Explanation Formula used: The current in an RLC -circuit is the solution of nonhomogeneous second-order ordinary differential equation, L I ″ + R I ′ + 1 C I = E ′ ( t ) = E 0 ω cos ω t ⋯ ⋯ ( 1 ) Calculation: The RLC -circuit is modeled by the equation L I ″ + R I ′ + 1 C I = E ′ ( t ) = E 0 ω cos ω t . Then the RC -circuit will be modeled by the equation R I ′ + 1 C I = E ′ ( t ) . Since E ( t ) is a constant, the derivative E ′ ( t ) will be equal to zero. Therefore, the RC -circuit is modeled by the equation R I ′ + 1 C I = 0 _ . Now obtain the current in the circuit as follows. First divide both sides of the equation by R as shown below

10th Edition

ISBN: 9780470458365

Author: Erwin Kreyszig

Publisher: Wiley, John & Sons, Incorporated

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Chapter 2.9, Problem 1P

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The model of given RC-circuit and the current due to a constant E in the circuit.

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Chapter 2.8, Problem 25P

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