GATE EC 2015 Set 2 — Question 52
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
In the circuit shown, the initial voltages across the capacitors and are and , respectively. The switch is closed at time . The total energy dissipated (in Joules) in the resistor until steady state is reached, is _______.
Correct answer
1.4 to 1.6
Solution
Initial energy stored in the capacitors is given by:
Given , , , and :
In steady state, the capacitors are in parallel and share a common voltage . Total charge is conserved:
Equivalent capacitance
Steady state voltage Final energy stored in the capacitors:
The total energy dissipated in the resistor is the difference between initial and final stored energy:
Given , , , and :
In steady state, the capacitors are in parallel and share a common voltage . Total charge is conserved:
Equivalent capacitance
Steady state voltage Final energy stored in the capacitors:
The total energy dissipated in the resistor is the difference between initial and final stored energy:
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