# GATE Papers >> EEE >> 2016 >> Question No 49

Question No. 49
In the circuit shown, switch S2 has been closed for a long time. At time $t=0$ switch S1 is closed. At $t=0^+$, the rate of change of current through the inductor, in amperes per second, is _____.

##### Answer : 1.9 : 2.1

Solution of Question No 49 of GATE 2016 EEE Paper

at $\mathrm t=0^-,$

at $\mathrm t=0^+,$

KCL at node A,

$\frac{{\mathrm{V}}_{\mathrm{A}}-3}{1}+\frac{3}{2}+\frac{{\mathrm{V}}_{\mathrm{A}}-3}{2}=0$

$2\left({\mathrm{V}}_{\mathrm{A}}-3\right)+3+\left({\mathrm{V}}_{\mathrm{A}}-3\right)=0$

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