**A coil of inductance 0.50 H and resistance 100 Ω is connected to a 240 V 50 Hz ac supply.(a) What is the maximum current in the coil?(b) What is the time lag between the voltage maximum and the current maximum?**

Given,

Inductance, L = 0.50 H

Resistance, R = 100 Ω

Effective voltage, E_{v} = 240 V

Frequency of the ac supply, f = 50 Hz

We can calculate,

Angular frequency, ω = 2πf = 100 π

Peak voltage,

(a) The maximum amount of current in the coil is given by,

(b) In the LR circuit,

If,

Now, At

At

∴ The time lag between voltage maximum and current maximum

Using the below-given relation, we can find the value of ϕ.

Therefore,

Thus,

is the required time lag between the maximum voltage and maximum current.

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