A single circular loop of wire with resistance and area is placed in a region where…

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

Problem

A single circular loop of wire with resistance

0.20\,\Omega

and area

0.015\,\text{m}^2

is placed in a region where the perpendicular magnetic field changes in time according to

B(t)=\beta t^2

, with

\beta=0.40\,\text{T}\,\text{s}^{-2}

and

t

in seconds. Assuming the field starts at

t=0\,\text{s}

and reaches its value at

t=5.0\,\text{s}

, how much total charge passes through a cross-section of the loop during this 5-s interval? (a)

0.375\,\text{C}

(b)

0.75\,\text{C}

(c)

1.5\,\text{C}

(d)

0.15\,\text{C}