Question

The electric current i in a circuit with a voltage V, resistance R and inductance L, is a function of time t given by the equation: di/dt + (R/L)i = V/L. Solve for i as a function of time t if the initial current is zero at t=0 seconds (hint: replace di by dy, dt by dx and use the P and Q method) i = (V/R)(1 - e^(-Rt/L)) i = (V/R)(1 + e^(Rt/L)) i = V/R i = (V/R)(1 - e^(Rt/L))

          The electric current i in a circuit with a voltage V, resistance R and inductance L, is a function of time t given by the equation: di/dt + (R/L)i = V/L. Solve for i as a function of time t if the initial current is zero at t=0 seconds (hint: replace di by dy, dt by dx and use the P and Q method)
i = (V/R)(1 - e^(-Rt/L))
i = (V/R)(1 + e^(Rt/L))
i = V/R
i = (V/R)(1 - e^(Rt/L))

The electric current i in a circuit with a voltage V, resistance R and inductance L, is a function of time t given by the equation: di/dt + (R/L)i = V/L. Solve for i as a function of time t if the initial current is zero at t=0 seconds (hint: replace di by dy, dt by dx and use the P and Q method)
i = (V/R)(1 - e^(-Rt/L))
i = (V/R)(1 + e^(Rt/L))
i = V/R
i = (V/R)(1 - e^(Rt/L))

Added by Robert P.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Sam Low

03/19/2022

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The electric current in a circuit with voltage V, resistance R, and inductance L as a function of time is given by the equation: dI/dt + RI = V. Solve for the function of time if the initial current is zero at t = 0 seconds (hint: replace dI/dt by dy/dx and use the separation of variables method).