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Q. 13

Expert-verified
Found in: Page 830

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# A wire carries current I into the junction shown in FIGURE EX29.13. What is the magnetic field at the dot?

The magnetic field will be.

See the step by step solution

## Step 1 : Given Information

We have given,

A current carrying wire as shown in the figure.

We have to find the magnetic field at point a.

## Step 2 : Simplify

A current-carrying wire produces a magnetic field

From the figure we can see that,

The horizontal wire carrying current with an angle with the dot point.

Since , the magnetic field at the dot point due to the horizontal current is zero

## Step 3 : Simplify

When the current will go through the vertical wire, it will divide into two paths up and down with the same magnitude in opposite direction. Both current apply the same magnitude of the magnetic field at the dot point but in opposite direction.

So both magnetic fields will cancel each other.

Hence, the total magnetic field at the dot point is zero.