Physics

Problem

A conducting rod of length

0.20\,\text{m}

slides without friction on a pair of parallel rails that form a closed rectangular circuit of total resistance

2\,\Omega

. The arrangement lies in a uniform magnetic field of

0.50\,\text{T}

directed perpendicular to the plane of the rails. The rod moves perpendicular to the field with a time-dependent speed given by

v(t)=4t\,\text{m s}^{-1}

(where

t

is in seconds). How much charge passes through the circuit during the interval

t=0

t=2\,\text{s}

? a)

0.80\,\text{C}

0.40\,\text{C}

1.60\,\text{C}

0.20\,\text{C}