Question: Could you please explain the bolded part with more detail? Specifically the bolded and underlined part. Where did the (5t*0.5) come from? What formula for the Flux in B was used?
For the problem in the picture, I recieved the following answer:
So we can say that:
The induction of an electromotive force by the motion of a conductor across a magnetic field or by a change in magnetic flux in a magnetic field is called ‘Electromagnetic Induction’.
a) Given that the current flows in clockwise direction in the circuit. So the current in the rod is in -y direction.
Force acting on the rod is in x direction.
Force on a current carrying wire in a magnetic field is given as:
F= i ( dl × B)
i = current in the wire
dl = small length element
B = magnetic field
Since dl and B are perpendicular, we get
F= Bil and direction of magnetic using right hand rule we get is inside the page that is -z direction.
b) Induced potential due to time varying magnetic field is given as
E = -d(flux) /dt =d(5t * 0.5)*B /dt = 2.5B Volts
E = iR
i = 2.5 B/2
Force = BiL
10 = B* (2.5 B/2)*0.5
B^2 = 80/5 = 16
B = 4 Tesla
c) we know
F = i (dl × B)
Since direction of F is reversed direction of current also gets reversed. That is now the current will flow in y direction.
Question: Could you please explain the bolded part with more detail? Specifically the bolded and underlined part. Where did the (5t*0.5) come from? What formula for the Flux in B was used?
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