Question

A round coil has 120 turns and its radius measures 1.60 cm. This coil rotates in a magnetic field of 0.0750 T. a) What is the angular velocity of the coil if the maximum emf produced is 24 mV? b) We can model this coil as a conducting ring rotating within a magnetic field. If it has a resistance of 9 Ω. What will be the magnitude of the Bmax self-generated by the ring at its center?

Answer 1

Solution

a) 397.887 rad/s

b) 1.047*10^{-7} T

Solutions g and magnetic field time Givers reamber of fourns N=120, radius ra 1.6x10 B = 0.075T a) If it is rotating at a constant angular welcity a, the flux al any it is gevers by Po - BÅ= BA cos 0 = Barcos (WE) Thus magnita induced em, nof Eard&B Bowlêre sincet) de Thus maximus em.f. produced is gewers by &- Bw T82 {at cat= 900} as Angular vebory, 0.075x ux (1.6x10 22 =) w 397.887 rad/s wa be BI82 24*103 b) Croven maximeans indured emif &=24mu and resistance, R=92 Theo maximeurs current through loop, lo 24 my -2.667m A a If this current flows through circular loop of radias r. The maguete field the center of loop Brase R ad Molo 28 Bmax 417167 21667803 2x 1,6x102 {-40x60 lm & Permeability of spall Bmax = 1:0474107T