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Can somebody help me please? A circular loop of wire of radius 11.9 cm is placed

ID: 1745521 • Letter: C

Question

Can somebody help me please? A circular loop of wire of radius 11.9 cm is placed in a magnetic field directedperpendicular to the plane of the loop, as shown in the figurebelow. If the field decreases at the rate of 0.510 T/s in some time interval, what is themagnitude of the emf induced in the loop during thisinterval?
A circular loop of wire of radius 11.9 cm is placed in a magnetic field directedperpendicular to the plane of the loop, as shown in the figurebelow. If the field decreases at the rate of 0.510 T/s in some time interval, what is themagnitude of the emf induced in the loop during thisinterval?

Explanation / Answer

   InducedEMF   E   =    -d / dt   =   - A *dB/dt    Area of crosssection   A   =   r2   =   3.14* 0.1192   =   4.45 *10-2   m2    rate of change of magneticfield   dB/dt   =   -0.510   T/s         (-ve as the field is decreasing)    =>   E   =   -4.45 * 10-2 * ( -0.510)   =   2.27 *10-2   V   =   22.7   mV    rate of change of magneticfield   dB/dt   =   -0.510   T/s         (-ve as the field is decreasing)    =>   E   =   -4.45 * 10-2 * ( -0.510)   =   2.27 *10-2   V   =   22.7   mV