Problem

The magnetic flux passing through a metal ring varies with time

t

as :

\phi_B = 3(at^3 - bt^2) \text{ T}\cdot\text{m}^2

with

a = 2.00 \text{ s}^{-3}

and

b = 6.00 \text{ s}^{-2}

. The resistance of the ring is

3.0 \Omega

. Determine the maximum current induced in the ring during the interval from

t = 0

t = 2.0 \text{ s}