GATE EC 2018 Set 1 — Question 46
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
For the circuit given in the figure, the magnitude of the loop current (in amperes, correct to three decimal places) 0.5 second after closing the switch is _______.
Correct answer
0.284 to 0.348
Solution
The given circuit is a series RL circuit with a DC voltage source , two resistors of each, and an inductor of .
1.Total Resistance (): Since the two resistors are in series, the equivalent resistance is .
2.Inductance (): The total inductance is .
3.Time Constant (): For an RL circuit, the time constant is given by:
4.Current Equation: The expression for the loop current after closing the switch at (assuming zero initial current) is:
Substituting the known values:5.Calculation at :
Using the value :Rounding to three decimal places, the magnitude of the loop current is . The provided range is to , which encompasses this value.Continue learning with Success Tracker
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