Figure 1 shows a conducting loop of area 20 cm2 that lies in

Figure 1 shows a conducting loop of area 20 cm^2 that lies in the x-y plane, if B= -5t a_z Wb/m^2, a) Determine the value and the direction of the induced current b) Determine the voltages v1 and v2 across the resistors

Solution

B=-5t az

A= area of loop=2*10^-3 m^2

F= flux through loop=B*A= t*10^-2

Flux through loop is increasing with time, hence induced current will try to reduced the flux

So direction direction of induced current is anti clock wise.

Emf = induced emf=dF/dt=10^-2 V=0.01 V

i= induced current=emf/(5+10)=10^-2/15 =0.66 mA

V1= i*10= 6.6 mV

V2= i*5= 3.33 mV