The magnetic field through a single loop of wire, 12cm in radius and 8.5 ohm resistance changes with time as shown. The magnetic field is perpendicular to the plane of the loop plot induced current as a function of time.
Dear student,
The induced emf of loop is given by ,
Flux is given by
Lets find B(t) for all the time interval.
For t1 =0s to t2 =2s
Its a line .
B=mt+b,b=0 as it starts from origin
1=2m
m= 0.5
B=0.5T.
Magnetic flux is given by
From t=2 s to t=4 s,The magnetic field is constant.Hence .emf =0 V
From t=4s to t= 6 S,Its a straight line.
B(t)= m t+b,
The magnetic flux is
The current is given by ohms law
For time t =0s to t=2s
For time t=2s to t=4s ,I=0
For time t=4s to t=6s,
Regards.
The induced emf of loop is given by ,
Flux is given by
Lets find B(t) for all the time interval.
For t1 =0s to t2 =2s
Its a line .
B=mt+b,b=0 as it starts from origin
1=2m
m= 0.5
B=0.5T.
Magnetic flux is given by
From t=2 s to t=4 s,The magnetic field is constant.Hence .emf =0 V
From t=4s to t= 6 S,Its a straight line.
B(t)= m t+b,
The magnetic flux is
The current is given by ohms law
For time t =0s to t=2s
For time t=2s to t=4s ,I=0
For time t=4s to t=6s,
Regards.