Magnetic Fields V Each diagram below shows the location of two wires and a point

Question

Magnetic Fields V Each diagram below shows the location of two wires and a point in space P. Determine an for the magnetic field at point P. Express your answer in terms of the unit vectors i,J and k. The distance between adjacent grid lines is L. Determine an expression #1 31 #2 #2 31 51 Each diagram below shows the location of three wires and a point in space P. Two of the currents ane given. The magnetic field at point P is zero. Determine the magnitude and direction of the third current. #3 #2 #1 21 #1 #2

Explanation / Answer

Solution:

2)right part:

As we know;

Magnetic field due to a Semi Infinite Current Carrying Wire is given by:

B = µ0I / 4?r

hence, the magnetic field by #1 will be;

B1 = 3µ0I / 4?r (direction shown in the pic is correct)

and

the magnetic field by #2 will be;

B2 = 3µ0I / 4?r (direction shown in the pic is correct)

Hence;

the net magnetic field will be;

Bnet = sqrt(B12+B22)

=> Bnet = (?2) 3µ0I / 4?r

=> Bnet = 3µ0I / 2?2 ?r

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