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Network TheoryTransient Analysis

For a DC step V applied to a series RL circuit with zero initial current, the current approaches its final value according to?

  • A(V/R)[1-e^(-tR/L)]
  • B(V/R)e^(-tR/L)
  • CVLe^(-t)
  • D(R/V)[1-e^(-tL/R)]
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Correct Answer: A. (V/R)[1-e^(-tR/L)]
Explanation: The RL step current rises from zero to V/R with time constant L/R: i(t)=(V/R)[1-e^(-tR/L)].
Reference: Standard network theory: RL step response
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