rl_rc_problem5

rl_rc_problem5 - Sample problems Topic RC and RL circuits...

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Sample problems Topic: RC and RL circuits Statement of problem The switch in the circuit has been in position x for a long time. 18 mA 5 k Ω 0.2 F μ x y 0 t = 20 k Ω 10 k Ω v α Δ v Δ + At t=0, the switch moves instantaneously to position y. (a) Find so that the time constant for t>0 is 1ms. (b) For the found in (a), find v Δ . Solution (a) After t=0, the resistance seen from the capacitor can be modeled as a Thevenin internal resistance R. 20 k Ω 10 k Ω v Δ v Δ + v + i iv Δ 0.2 F The resistance can be obtained from the time constant 1 5 0.2 ms R k CF τ = == Ω (1) The resistance can be also obtained as follows 30 200000 ( ) R k = −Ω (2) From equations (1) and (2), is easily obtained 0.125 mS = Note that the unit for

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rl_rc_problem5 - Sample problems Topic RC and RL circuits...

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