A Coil Of Inductance 0.50 H And Resistance  is Connected To A 240 V-50 Hz A.c. Supply. What Are The Maximum Current In The Coil And The Time Lag Between Voltage Maximum And Current Maximum?

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Question

A coil of inductance 0.50 H and resistance  is connected to a 240 V-50 Hz a.c. supply. What are the maximum current in the coil and the time lag between voltage maximum and current maximum?

Solution

Correct option is

3.2 ms

The maximum (peak) current in an L-R circuit is given by

               .  

   

  

              

            

In L-R circuit, the current lags behind the voltage by a phase angle , where  

              

Putting the value of  and R, we have 

              

   

The time tag is given by 

                  

                       

                     .

SIMILAR QUESTIONS

Q1

An a.c. generator consists of a coil of 50 turns and area 2.5 m2 rotating at an angular speed of 60 rad s–1 in a uniform magnetic field of 0.30 T. The resistance of the circuit including that of the coil is 500 . Find the maximum current drawn from the generator.    

Q2

In a dynamo, a coil of area 0.2 m2 and having 100 turns rotates in a magnetic field of 0.1 Wb m–2 with an angular velocity of 100 rad s–1. The output terminals are connected through a resistance of . Calculate the torque , as a function of time t, required to keep the coil rotating.

Q3

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Q4

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Q5

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Q6

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Q7

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Q8

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Q9

An alternating voltage E = 200 sin 300t is applied across a series combination of  and L = 800 mH. Calculate the impedance of the circuit.

Q10

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