A circular metal disk of radius lies in a plane perpendicular to the -axis

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

A circular metal disk of radius

0.20\,\text{m}

lies in a plane perpendicular to the

z

-axis. A magnetic field directed along the

+z

-direction varies with radial distance

r

from the centre according to

B(r)=0.10\,r\;\text{T}\,\text{m}^{-1}

. Determine the magnetic flux linked with the entire disk. (a)

2.51\times 10^{-3}\,\text{Wb}

(b)

1.68\times 10^{-3}\,\text{Wb}

(c)

1.26\times 10^{-3}\,\text{Wb}

(d)

0.84\times 10^{-3}\,\text{Wb}