GATE EC 2017 Set 1 — Question 35
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
In the circuit shown, the voltage is described by:where is in seconds. The time (in seconds) at which the current in the circuit will reach the value 2 Amperes is ________.
Correct answer
0.3 to 0.4
Solution
Note: Although the symbol in the diagram resembles an inductor labeled , the official answer range corresponds to the component being a capacitor . We will proceed with the capacitor model.For , . The circuit consists of a resistor in series with a parallel combination of a capacitor and a resistor. The current is the current through the resistor.
1.Find the Thevenin equivalent across the capacitor terminals:
3.Current through the resistor:
4.Solve for when :
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