4-11-09 What is the EMF with time.

Draw the graph of the EMF vs Time for the coil given here..
The arrangement starts from rest and has a constant angular acceleration.
The half part has a radius r, the magnetic field on the right side is B

and α = constant = a

Now draw the graph of EMF vs Time

I have solved this one in the class a lot of times :) [Dont know why ;)]

11 Answers

1
Unicorn--- Extinct!! ·

Is the coil moving forward too, or is it hinged at centre and rotating about it?

24
eureka123 ·

ωi=0 ,
φi=0,
(dφ/dt)t=0=0 =>emfi=0

ANgle rotated in t time=θ=αt2/2

φ=12r2θ2B=12r2αt22B

=>emf=dφ/dt=r2αBt/2

62
Lokesh Verma ·

eureka.. this is not enuf..

I want the graph :P

24
eureka123 ·

Now regarding graph...

polarity change when it rotates by angle π,2π....

=> Ï€=αt12 =>t1=√2πα
Similarly t2=√4πα....

24
eureka123 ·

62
Lokesh Verma ·

Great [1]
so far i have given this one so many times in my classes and no one ever got it right on the first attempt [1]

24
eureka123 ·

well to be honest i am doing this ques for 5th time..so it was on my tips[1]

24
eureka123 ·

btw i too took a lot of time first time i did it[1]

62
Lokesh Verma ·

oh is it!

i saw a much simpler variation in some book (probably vidyamandir's material) (I took its correspondence when i was myself preparing)

I gave this variant in the class and had a feeling that this question was given by me...

24
eureka123 ·

:P

156
Rajiv Agarwal ·

Microsoft word 2007 [1]

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