A circular loop of radius lies in the -plane with its center at the origin

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A circular loop of radius

r=0.080\,\text{m}

lies in the

xy

-plane with its center at the origin. Within the loop, the magnetic field varies with radial distance according to

B(r)=kr

, directed along

+\hat k

, where

k=1.5\,\text{T}\!\cdot\!\text{m}^{-1}

. What is the total magnetic flux through the loop? (a)

1.6\times10^{-3}\,\text{Wb}

(b)

2.4\times10^{-3}\,\text{Wb}

(c)

1.2\times10^{-3}\,\text{Wb}

(d)

4.8\times10^{-3}\,\text{Wb}