For t < 0, the circuit shown in Figure P5.22 is at DC steady state. The switch is thrown at t = 0.

VS1 = 35V VS2 = 130V

C = 11?F R1 = 17 k?

R2 = 7k? R3 = 23 k?



Determine the initial current through R3 just after the switch is thrown at t = 0+.




Analysis:

To solve this problem, find the steady state voltage across the capacitor before the switch is thrown. Since the voltage across a capacitor cannot change instantaneously, this voltage will also be the capacitor voltage immediately after the switch is thrown. At that instant, the capacitor may be viewed as a DC voltage source.

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