An A.C. voltage V = 5 cos ⁡ 1000 t V is applied to an L - R series circuit of inductance 3 mH and resistance 4 Ω . The value of the maximum current in the circuit is ______ A .

Step-by-step solution

V = 5 cos ⁡ 1000 t V V = V 0 cos ⁡ ω t V 0 = 5 V ω = 1000 rad s - 1 L = 3 × 10 - 3 H , R = 4 Ω Maximum current I 0 = V 0 Z I 0 = 5 ω 2 L 2 + R 2 = 5 5 = 1 A