What is Faradays Law of Magnetic Induction? Write down the absolute value of the

Question

What is Faradays Law of Magnetic Induction? Write down the absolute value of the formula and explain it meaning in physical terms. What does it imply about the relationship between electric and magnetic fields? What is Lenz Law? How do you use it to determine the direction in which a current will flow in a coil that exposed to a changing magnetic field? You carry a square conductor of side-length 5 cm that is carried lengthwise at a speed of 100 m/s through a 5T magnetic field. Assume that the motion in perpendicular to the field. What is the voltage difference between the top and bottom of the conductor? Your friend watches you carry the conductor while sitting at rest relative to the lab. What does your friend consider to be the force that polarizes the conductor? From your perspective the conductor isnt moving. From your perspective, what is the force that causes the conductor to polarize? What is responsible for the existence of this force?

Explanation / Answer

(a)

1. The change in the Magnetic Flux through coilwill induce Electric Field in the coil,if the circuitis closed,EMF is induced in the circuit. Q = Intergral[ B.dS] B is magnetic Field ; dS is area element vector perpendicular to area vector.

2. The magnitude of EMF induced will be equal to rate of change of Flux through the coil.
E = dQ/dt : Q is flux through coil , E is EMF induced.

If there are N number of turnd in coil windings, E = N * dQ/dt ;

It implies that Electric Field can be produced/induced in a conductor by changing Magnetic Field through the conductor.

Also it can be given by curl E = -dB/dt ;

(b)

Lenz law gives the Direction of induced current in the coil : The direction of induced EMF is such that it opposes the cause by virtue of which it was produced.This preserves the Conservation of Energy.

It corrects the second law od Faraday's as : E = - dQ/dt ; negative sign shows that the direction is reversed.

Supposed a metal ring is placed on a solenoid ; when the power supply is turned on : the ring jumps up high, as current in ring is induced by current in Solenoid in reversed direction, the magnetic fields in both (Solenoid and Ring ) are in reversed Directions, therefore repels each other.

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