College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300



College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A technician wearing a circular metal band on his wrist moves his hand into a uniform magnetic field of magnitude 2.5 T in a lime of 0.18 s. If the diameter of the band is 6.5 cm and the field is at an angle of 45° with the plane of the metal hand while the hand is in the field, find the magnitude of the average emf induced in the band.


To determine
Magnitude of average induced emf in the band


Given Info: change in magnetic field is 2.5 T, radius of the loop is 6.5×102m , orientation of the magnetic field θ=45° , and change in time is 0.18 s.

Formula for induced emf within the circle,


  • ΔϕB is the change in magnetic flux
  • Δt is the change in time

Formula to calculate the magnetic flux is,


  • ΔB is the magnetic field,
  • A is the change in area of the loop

Simplify the above expression,


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