A circular wire loop of radius r = 0.065 m and resistance R = 9.2 Ohm rotates ab

Question

A circular wire loop of radius r = 0.065 m and resistance R = 9.2 Ohm rotates about a shaft through its diameter at a constant rate of f = 13.6 Hz in a uniform B = 0.22-T magnetic field directed perpendicular to the rotation axis. The plane of the loop is perpendicular to the magnetic field at time t = 0. Randomized Variables: r = 0.065 m R = 9.2 Ohm. f = 13.6 Hz B = 0.22 T t = 4.8 s Select the correct expression for the time-dependent magnetic flux through the loop. Find the value of the magnetic flux through the loop, in webers, at time t = 4.8 s. Select the expression for the time-dependent emf induced in the loop based on the expression you entered in part (a)B. Calculate the induced emf in the loop, in volts, at time t = 4.8 s. Select the expression for the induced current in the loop based on the expression you entered in part (c). Find the induced current in the loop, in amperes, at time t = 4.8 s.

Explanation / Answer

here,

r = 0.065 m

R = 9.2 m

f = 13.6 Hz

B = 0.22 T

t = 4.8 s

a)

the expression for time dependent magnetic flux through the loop , magnetic flux = n * B * area * sin(2 * pi * f * t)

magnetic flux = 1 * 0.22*pi * 0.065^2 * sin(2*pi*13.6 * t)

magnetic flux = 2.92 * 10^-3 * sin(85.41 * t)

b)

when t = 4.8 s ,

magnetic flux = 2.92 * 10^-3 * sin(85.41 * t)

magnetic flux = 2.92 * 10^-3 Wb

c)

magnetic flux = 2.92 * 10^-3 * sin(85.41 * t)

on differentiating

EMF = 85.41 *2.92*10^-3 * cos(85.41*t)

EMF = 0.249 * cos(85.41*t)

d)

at t = 4.8 s ,

EMF = 0.249 * cos(85.41*4.8)

EMF = 2.45 * 10^-3 V

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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