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Chapter 29: Q. 21 (page 831)

What is the line integral of $\vec{B}$ between points i and f in FIGURE EX29.21?

Short Answer

Expert verified

The line integral will be 0.

Step by step solution

Given information

We have given, a current carrying wire in the magnetic field.

We have to find the line integral magnetic field from i to f.

Simplify

Using ampere's law of magnetic field ,

$integral = \int_{i}^{f} \vec{B .} \vec{ds} = \int_{i}^{f} B . ds cosθ$

Since the magnetic field is perpendicular to the wire then,

$\cos {(90)}^{0} = 0$

$integral = \int_{i}^{f} B . ds cosθ integral = 0$

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What is the line integral of B→between points i and f in FIGURE EX29.21?

Short Answer

Step by step solution

Given information

Simplify

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What is the line integral of $\vec{B}$ between points i and f in FIGURE EX29.21?