After closing the switch‘S’ at t = 0, the current i

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After closing the switch‘S’ at t = 0, the current i (t) at any instant ‘t’ in the network shown in the given figure will be

1. 10 + 10 e^{100 t}
2. 10 – 10 e^{100 t}
3. 10 + 10 e^{–100 t}
4. 10 – 10 e^{–100 t}

Correct Option: D

It can be certified by checking the value of the current at t = 0₊ , and at t = ∞ which should be zero and 10/1 = 10 A respectively.
It is an R-L circuit

∴ i(t) =	V_dc	[1 - e^{(– R / L)t]}
	R