1. In the circuit s closed for a long time and steady state is reached. s is opened at t = 0+ Determine current through resistor.
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By: guest on 02 Jun 2017 12.55 am
Steady state with s closed. C is open Is = 4. This source current is divided between two resistors Ω and 1 Ω. Across 1 Ω, C is open, I in 1 Ω is = 1 A. Hence voltage across C is 1 V. The initial charge on C is V0 = 1 V. At t = 0+, s is opened bringing R = 1 Ω into the circuit. C is replaced by 1 V source with positive polarity left. The circuit has two sources Is = 4 and V0 = 1. The currents in the resistor R = and R = 1 can be determined by superposition. For R = Due to Is only (short V0) I = Is x= 3 Due to V0 only (open Is) I == Downwards Adding, current through R = is 3= .