When x, y, and z are positive and less than 5, a certain magnetic field intensity may be expressed as H x 2 yz (y 1) a x 3x 2 z 2 a y xyz 2 (y 1) a z Find the total current in the ax direction that crosses the strip x 2, 1 y 4, 3 z 4, by a method utilizing (a) A surface integral (b) A closed line i...

a We need to find the current density by taking the curl of the given H Actually since the st ...

When x, y, and z are positive and less than 5, a certain magnetic field intensity may

Question:

When x, y, and z are positive and less than 5, a certain magnetic field intensity may be expressed as H = [x²yz/(y + 1)]a_x + 3x²z²a_y − [xyz²/(y + 1)]a_z. Find the total current in the ax direction that crosses the strip x = 2, 1 ≤ y ≤ 4, 3 ≤ z ≤ 4, by a method utilizing:

(a) A surface integral;

(b) A closed line integral.

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