Mathematics

Problem

A rectangular surface lies in the

xy

-plane and is bounded by

0\le x \le 0.10\,\text{m}

and

0\le y \le 0.05\,\text{m}

. A magnetic field directed along the positive

z

-axis varies with

x

B(x)=0.20\,x\;\text{T}\,\text{m}^{-1}

. Find the total magnetic flux through the surface. a)

2.5\times 10^{-5}\,\text{Wb}

1.0\times 10^{-4}\,\text{Wb}

5.0\times 10^{-5}\,\text{Wb}

2.5\times 10^{-4}\,\text{Wb}