A square loop of wired with side length 2 cm is in the plane of the...

A square loop of wired with side length 2 cm is in the plane of the page. At time t= 0, a 9 T magnetic field is directed into the page. The field changes to 4 T directed into the page in 0.25 seconds.

What is the magnetic flux through the loop of wire at time, t = 0? What is the magnetic flux through the loop of wire 0.25 seconds later?What is the emf induced in the loop of wire during this time?If the resistance in the loop is 0.02 Ω, what is the induced current in the wire?Does the induced current in the wire flow clockwise or counterclockwise?

Solutions

Expert Solution

a) The magnetic flux through the loop at t = 0 sec is:

where, B is the magnetic field

A is the area of the loop

b) The magnetic flux through the loop at t = 0.25 sec is:

where, B is the magnetic field

A is the area of the loop

c) The emf induced in the loop can be given by Faraday's law as:

d) The induced current in the loop can be given by Ohm's law:

e) Since the magnetic flux through the loop is decreasing, the direction of induced current will be such that it will enhance the decreasing magnetic flux. To enhance the decreasing magnetic flux the current in the loop should flow in a clockwise direction.

PLEASE RATE.

genius_generous answered 1 year ago

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