The magnitude of a magnetic field in the region

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

0 \le x \le 0.20\,\text{m}

0 \le y \le 0.20\,\text{m}

is given by

B = kx

Tesla, where

k = 0.20\,\text{T}\,\text{m}^{-1}

and the field is directed along the

+z

-axis. The surface considered is the square portion of the

xy

-plane bounded by these limits. Calculate the total magnetic flux passing through the square.