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Due this Wednesday, Jun 27 at 11:59 pm (EDT) aying fat in the plane of the scree

ID: 2304151 • Letter: D

Question

Due this Wednesday, Jun 27 at 11:59 pm (EDT) aying fat in the plane of the screen in a magnetic field as shown. In Figure B, a loop of wire is laying flat in the plane of the screen to the side of an infinitely long wire. In each situation, decide whether or not there is an induced emf in the appropriate loop during the action d induced emf. 'No emf means there was no induced emf in the coil escribed. 'emf means there was a non-zero Loop FigA Wire Fig B In Figure B the current through the wire is kept constant at 3A to the right while the loop is moved to the left parallel to the wire The loop in Figure A is moved towards the bottom of the page. The loop in Figure A is moved towards the right side of the page In Figure B the current in the wire starts at zero and is increased until SA of current flows towards the left of the page while the loop is held stationary. In Figure B the current through the wire is kept constant at 3A to the right while the loop is moved towards the bottom of the screen towards the wire. No em

Explanation / Answer

Case 1.

The current in the wire being constant, the magnetic field due to the wire at a given distance from the wire remains constant. As the loop is moved towards the right, its distance from the current carrying wire doesnot change, so the flux through the loop remains same, hence "NO EMF".

Case 2.

According to the figure, the intensity of magnetic field is shown to decrease towards the bottom of the page. As the loop moves to the bottom, the total magnetic flux through the loop decreases, since the area is constant. Since the magnitude of the emf induced is equal to the rate of change of magnetic flux (Faraday's Law) , thus there is an "EMF" induced in the loop.

Case 3.

The magnetic field does not change in the left or right direction according to the figure. So, when the loop is moved towards the right side there is no flux change in through the loop, so "NO EMF".

Case 4.

The magnetic field at a distance due to a current carrying wire is directly prportional to the current through the wire. So, as the current increases from 0 to 5A, the magnetic flux through the loop changes, giving rise to an induced "EMF".

Case 5.

The magnetic field is inversely proportional to the distance from the current carrying wire. So, when the loop is moved towards the wire, its distance from the wire changes which in turn changes the magnetic flux through the loop, creating an induced "EMF" .

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