A) If a circular loop of wire of radius 15.4 cm is located in a region where the

Question

A) If a circular loop of wire of radius 15.4 cm is located in a region where the spatially uniform magnetic field perpendicular to the plane of the loop is changing at a rate of +1.4 ? 10?3 T/s, find the value of the induced EMF in this loop due to this changing magnetic field.

B)Suppose we are given a square coil that is 5.5 cm on a side containing 100 loops of very fine wire. The total resistance of this coil is 2.0 ? 10?3 ?. This coil is initially centered on the origin with its sides parallel to thex- and y-axes. It is being rotated about the y-axis in a uniform magnetic field of 1.4 T along the z-axis, with an angular velocity of 2.5 rad/sec. Find the magnitude of the peak value of the induced current flowing in this coil under these conditions.

Explanation / Answer

a. induced emf e = NAdB/dt

where N = no. of turns = 1

A = area = pi r^2 = 3.14* 0.154*0.154 = 0.0744 m^2

dB/dt = rate of change of magnetic fied = 1.4*10^-3 T/s

so emf e = 1* 0.0744* 1.4 *10^-3

emf e = 0.104 mVolts

b.emf e = 100* 0.055*0.055* 1.4 * 2.5

emf = 1.05875 volts

induced current I = emf/R

i    = 1.05875/2

i = 529.4 Amps

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.