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 ideal dc current source is connected to the series combination of the resistor and the capacitor. The voltage across the current source, , is the sum of the voltages across the resistor () and the capacitor ():
1.Voltage across the resistor ():
Since the current is constant:2.Voltage across the capacitor ():
The voltage across a capacitor with a constant current source is linear:3.Total voltage ():
At , . The voltage increases linearly with time starting from the origin. This behavior is correctly represented by the graph in option (C).Continue learning with Success Tracker
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