At any time instant the magnetic flux enclosed by the loop is
ϕ=∫∫B.ds
as the loop in xy plane
∴ϕ=∫1−1∫1−1Bzdxdy
ϕ=∫1−1∫1−15ˆaz.e−0.38ˆazdxdy=∫1−1∫1−15e−0.5tdxdy=5e−0.5t(2)(2)
=20e−0.5tWb
∴Induced emf=−dϕdt=−20ddte−0.5t
=−20(−0.5)e−0.5t
At t = 10 sec,
Induced emf=10e0.5×10=0.067V=67.379 mV