A coil of inductance 300 mH and resistance 2 is connected to a source of voltage 2 V . The current reaches half of its steady state value in

Step-by-step solution

The current at any instant is given by I=I₀ (1-e^ -R t / L ) aligned I₀ 2 & =I₀ (1-e^ -R t / L ) 1 2 & = (1-e^ -R t / L ) e^ -R t / L & =1 / 2 R t L & = 2 aligned aligned t= L R 2 & = 300 10⁻³ 2 0.693 & =150 0.693 10⁻³ & =0.10395 ~s =0.1 ~s aligned