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In Figure A, a loop of wire is laying flat in the plane of the screen in a magne

ID: 1593774 • Letter: I

Question

In Figure A, a loop of wire is laying flat 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 described. 'emf' means there was a non-zero induced emf. 'No emf' means there was no induced emf in the coil.

The loop in Figure A is moved towards the left side of the page.

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.

In Figure B the current in the wire starts at zero and is increased until 5A of current flows towards the right of the page while the loop is held stationary.

The loop in Figure A is moved towards the top of the page.

In Figure B the current through the wire is kept constant at 3A to the right while the loop is moved to the right parallel to the wire.

Explanation / Answer

To induce an emf the relative variation of the magnetic flux is needed
To induce an emf must pass one of three situations.
1 Change the magnitude of the magnetic field
2. The area enclosed by the loop changes over time
3. The angle between the normal vector to the loop and the magnetic field changes

The loop in Figure A is moved towards the left side of the page

1 Change the magnitude of the magnetic field -----------It does not happen

the magnetic field is constant leftward
2. The area enclosed by the loop changes over time----------It does not happen

the area of loop does not vary
3. The angle between the normal vector to the loop and the magnetic field changes--------It does not happen

The loop is not inclined

Answer

no induced emf

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.

1 Change the magnitude of the magnetic field -----------this happens

the magnetic field varies with the distance to the wire
2. The area enclosed by the loop changes over time----------It does not happen

the area of loop does not vary
3. The angle between the normal vector to the loop and the magnetic field changes--------It does not happen

The loop is not inclined

Answer

is induced an emf

In Figure B the current in the wire starts at zero and is increased until 5A of current flows towards the right of the page while the loop is held stationary.

1 Change the magnitude of the magnetic field -----------this happens

with increasing current, the magnetic field varies


2. The area enclosed by the loop changes over time----------It does not happen

the area of loop does not vary
3. The angle between the normal vector to the loop and the magnetic field changes--------It does not happen

The loop is not inclined

Answer

is induces an emf

The loop in Figure A is moved towards the top of the page.

1 Change the magnitude of the magnetic field -----------this happens

upward the magnetic field changes therefore fulfills the condition


2. The area enclosed by the loop changes over time----------It does not happen

the area of loop does not vary
3. The angle between the normal vector to the loop and the magnetic field changes--------It does not happen

The loop is not inclined

Answer

is induces an emf

In Figure B the current through the wire is kept constant at 3A to the right while the loop is moved to the right parallel to the wire.

1 Change the magnitude of the magnetic field -----------It does not happen

the magnetic field parallel to the wire does not change so does not change the magnetic field in the loop


2. The area enclosed by the loop changes over time----------It does not happen

the area of loop does not vary
3. The angle between the normal vector to the loop and the magnetic field changes--------It does not happen

The loop is not inclined

Answer

no induced emf

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