# Time Dependent Magnetic Field#

## Part 1#

A rectangular wire loop with length $$a$$ and width $$b$$ lies in the xy-plane, as shown below. Within the loop there is a time-dependent magnetic field given in the figure below in units of tesla. Determine the emf induced in the loop as a function of time.

• $$\frac{-Cab^2{\omega}}{2}$$cos($${\omega}t$$)

• $$\frac{Cab^2{\omega}}{2}$$cos($${\omega}t$$)

• $$\frac{-Cab^2{\omega}}{2}$$sin($${\omega}t$$)

• $$\frac{Cab^2{\omega}}{2}$$sin($${\omega}t$$)

• $$-Cab{\omega}$$sin($${\omega}t$$)