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Time constant for an R-L series circuit is given by :

  • A.\(\frac{L}{R}\)
  • B.\(\frac{R}{L}\)
  • C.\(\frac{1}{RL}\)
  • D.RL

Answer: A

The time constant is \(\tau = \frac{L}{R}\).

When a dc voltage is switched onto an R-L series circuit, the current rises as \(i = I\left(1 - e^{-Rt/L}\right)\). The time constant is the time in which the current would reach its final value if it kept its initial rate of rise; in practice it is the time to reach 63.2 per cent of the final value. Henry divided by ohm gives seconds.

R/L is the reciprocal, with units of 1/second. RL has units of ohm-henry, not time, and 1/RL is no better. The R-C circuit's time constant is RC, which may be the source of the RL trap.

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