GATE EE 2014 Set 1 — Question 18
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Electric Circuits → Transient & AC Steady-State → First-Order RL & RC
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Question
A combination of capacitor with an initial voltage in series with a resistor is connected to a ideal dc current source by operating both switches at as shown. Which of the following graphs shown in the options approximates the voltage across the current source over the next few seconds?
Correct answer
(C) [figure]
Solution
For the switch across the current source is open and the loop switch is closed, so the source drives the series combination of the resistor and the capacitor.The voltage across the source is the sum of the resistor and capacitor voltages:Resistor voltage (constant current):Capacitor voltage (constant charging current, entering the + terminal of ):Source voltage:So and rises linearly with time (an ideal current source charges the capacitor at a constant rate, so there is no exponential behaviour). This is the straight line starting from the origin shown in option (C).Answer: (C)
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