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Q. 6

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 901

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Short Answer

The magnetic field is uniform over each face of the box shown in What are the magnetic field strength and direction on the front surface?

The magnetic field strength on the front surface is (coming into the front surface).

See the step by step solution

Step by Step Solution

Step 1: Given information

We have been given that the magnetic field is uniform over each face of the box shown in .

We need to find the magnetic field strength and direction on the front surface.

Step 2: Simplify

We know the formula: (Let this equation be ())

For direction, we know that by convention, the flux coming in the surface is negative and the flux going out of the surface is positive.

Apply the formula given in equation on all the surfaces of the box:

Left surface:

Right surface:

Top surface:

Bottom surface:

Back surface:

Let magnetic field strength on the front surface be .

Front surface:

The net flux through all the surfaces of the box should be zero. So we can calculate the magnetic field strength on the front surface by equating the sum of flux of all the surfaces to zero.

Dividing on both sides, we get:

The magnetic field strength on the front surface is .

Since it is negative, it means that the magnetic field is coming into the front surface.

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