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Electromagnetic induction

Electromagnetic induction

by ankita chaturvedi -
Number of replies: 3

I have some doubts in electro magnetic induction:-

1) two circular coils have their centred at the same point. the mutual inducatance between them will be maximum when their axes are:

a) perpendicular to each other

b) at 60 deg

c) at 45 deg to each other

d) parallel to each other

2) In a uniform magnetic field of induction B a wire in the form of a semicircle of radius "r" rotates about the diameter of the circle with angular frequency "w". The axis of rotation is perpendicular to the field . if the total resistance of the circuit is "R", the mean power generated per period rotation is :

3) In a L-R circuit , just after the key is closed:-

a) a current starts flowing in the circuit

b) a potential difference is developed across the resistance.

c) e.m.f developed across the e.m.f of the battery

d) a heat is dissipated in the circuit.

In reply to ankita chaturvedi

Re: Electromagnetic induction

by Sooraj Prakash -
The ans. to your first ques. is option d.
 The mutual inductance between two coils is determined by a term called coefficient of coupling given by K = (M/L1L2)1/2 where L1 and L2 are the self inductances of the two coils and M is the mutual inductance between them.
Now, when the two coils are placed with their axes parallel to each other, coefficient of coupling is maximum  & so M between them is maximum.
Also, when the two coils are placed with their axes perp. to each other then K is minimum resulting in minimum value of M. For options b & c, M will be intermediate of a & d.

The ans. to your third ques. is option b & c.
Due to phenomenon of self induction, an induced emf is setup in the circuit, which opposes the growth of current in it. When the key is just closed, current is zero & it becomes max. when steady state is reached.
In reply to Sooraj Prakash

Re: Electromagnetic induction

by Chandni Bhatia -
Sooraj, can you please tell how is K=(M/L1 L2)1/2 ?
In reply to Chandni Bhatia

Re: Electromagnetic induction

by Sooraj Prakash -
I suppose it is an experimental result, it was given in Modern's ABC, anyway I am searching its proof, I will reply as soon as I get it!