# 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}