Question

Radius of conducting wire is r and its plane is perpendicular to magnetic field B. If the conductor is stretched and made in shape of square in its plane and in time t ,then the induced emf epsilon not

Answer 1

Answer:

Magnetic field is given as    B=2t  

2

=4t  

2

=6t  

2

 

Differentiating w.r.t t we get,    

dt

dB

​  

=12t

Area of the circular coil   A=πr  

2

 

Change in rate of flux from t=0 to t=2 s,    

dt

dϕ

​  

=A  

dt

dB

​  

 

∣

∣

∣

∣

∣

​  

 

o

2

​  

 

∴    

dt

dϕ

​  

=(πr  

2

)(12t)  

∣

∣

∣

∣

∣

​  

 

o

2

​  

=(πr  

2

)×12(2−0)=24πr  

2

 

Current flowing   I=  

R

E

​  

=  

R

dt

dϕ

​  

 

​  

=  

R

24πr  

2

 

​

Explanation: