# A uniform magnetic field of magnitude 0.50 T is directed perpendicular to the plane of a...

## Question:

A uniform magnetic field of magnitude {eq}0.50 \ T {/eq} is directed perpendicular to the plane of a rectangular loop having dimensions {eq}8.0 \ cm {/eq} by {eq}12 \ cm {/eq}. Find the magnetic flux through the loop.

## Magnetic flux:

The magnetic flux is defined as the no. of magnetic field lines passing through the area of the cross-section. It is given by the dot product o the magnetic field and the area of the cross-section.

## Answer and Explanation:

**Given data:**

- Magnetic field {eq}\rm (B) = 0.5 \ T {/eq}

- area of the cross-section {eq}\rm A = (8\ cm ) \times (12 \ cm ) \\ A = (96 \times 10^{-4}) \ m^{2} {/eq}

The magnetic flux is given by

{eq}\rm \phi = B \times A \\ \phi = (0.5) \times (96 \times 10^{-4}) \\ \phi = 48 \times 10^{-4} \ Wb {/eq}

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Lenz's Law, Magnetic Flux and Motional EMF

from GACE Physics (530): Practice & Study Guide

Chapter 23 / Lesson 9
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