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Q. 12

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 830

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Short Answer

What are the magnetic fields at points a to c in FIG URE EX29.12? Give your answers as vectors.

At a.

At b.

AT C.

See the step by step solution

Step by Step Solution

Step 1: Given information

We have given,

the diagram shown the current carrying wires.

We have to find the magnetic field at a and c.

Step 2: Simplify

The magnetic field due to current carrying wire at a distance is

Let us find the magnetic field due to upper wire at point a.

The distance between the point a and wires are,

then,

Since the distance of point a from both the wire is same. so magnetic fields will be same but the direction will opposite.

Then total magnetic field will be

Step 3: Simplify

For magnetic field at b, Since the distance is perpendicular.

then Total magnetic field at b

For magnetic field at c, we find it similarly as we find for at a.

Since the distance of point c from both the wire is same. so magnetic fields will be same but the direction will opposite.

Then total magnetic field will be

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