An in?nite sheet of current, perpendicular to the z axis is located at z = 0 . T

ID: 2156060 • Letter: A

Question

An in?nite sheet of current, perpendicular

to the z axis is located at z = 0 . The linear

current density ?+y ?ows in the +y direction.

By inspection we expect the magnetic ?eld

direction Bz , on the positive z (right hand)

side of the sheet to be in the +x direction,

while the magnetic ?eld on the negative z

(left hand) side of the sheet to be in the ?x

direction;

We choose the Amperian loop as the dashed

line below with sides of length ? and w.

What is the ?magneto motive force?, de-

?ned by M = Integral of B*ds?

1. M = 2 (? + w) B

2. M = ? B

3. M = 2 w B

4. M = w B

5. None of these

6. M = 2 ? B

7. M = (? + w) B

What is the current encircled by the Amperian loop?

1. Ienc = 2 w ?+y

2. Ienc = w ?+y

3. Ienc = 2 ? ?+y

4. Ienc = (? + w) ?+y

5. Ienc = 2 (? + w) ?+y

6. Ienc = ? ?+y

I have no clue where to start and my teacher never explained this so could you pretty please show your work.

6. M = 2 l B 4. Ienc = (l + w) ?+y

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