The GATE Grind

GATE 2017 EE (EE2) – Question 32

Electric Circuits · Network Elements: Ideal voltage and current sources, dependent sources, R, L, C, M elements · 1 mark · Numerical answer

The 1 F capacitor in the circuit is initially uncharged. The energy transferred from the 10 V DC source until steady state, in joules to one decimal place, is ________.

Diagram for GATE 2017 EE (EE2) question 32

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 99 to 101

Explanation

The symmetric resistor bridge provides a finite path from the capacitor's right plate to ground; its middle resistor has no voltage across it. At final DC steady state no current flows, so the right plate is at ground and the capacitor voltage is 10 V.

Charge supplied by the source is ΔQ=CV=1×10=10 C. Source energy is $V\Delta Q=10(10)=$ **100.0 J**. Half remains in the capacitor; half is dissipated in resistors, so using only stored energy would undercount the source transfer.

More Network Elements: Ideal voltage and current sources, dependent sources, R, L, C, M elements questions

All Network Elements: Ideal voltage and current sources, dependent sources, R, L, C, M elements questions →