PLEASE BE CLEAR ABOUT THE ANSWER THANK YOU THE ANSWER IS NOT

PLEASE BE CLEAR ABOUT THE ANSWER. THANK YOU

THE ANSWER IS NOT NEGATIVE SO NO NEGATIVE NUMBERS!

A magnetic field directed into the page changes with time according to B = 0.061 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see figure below).

Solution

here r₂ =0.02 m and t = 4.40 s

magnetic field is given by,

    B = 0.061 0t² + 1.40
differentiate the equation on both sides,

dB/dt = 2[ 0.061] t = [0.122]*t
the electric field is,

         E =-(dB/dt)(r₂/2) = -(0.122*t)(r₂/2) = -(0.122*4.4)(0.02/2) = -5.368e-3 N/C

magnitude: 5.368e-3 N/C, perpendiculr to r2 and ccw