Question #cc69d

1 Answer
Feb 5, 2018

#9.44*10^-3Wbcolor(white)(l)s^-1#

Explanation:

From Faraday's law, we know that:
#(dNphi)/(dt)proptoV#

We also know that #V=IR#

Given resistivity, we also know that:
#R=(rhol)/A#

Combing these gives us:
#(dNphi)/(dt)propto(Irhol)/A#

#rho=1.97*10^-8Omegam#
#I=8.9A#

#l=2pir=pi*9.1/100=(91pi)/1000m#
#A=pir^2=pi(2.6/2000)^2=pi(1.69*10^-6)m^2#

#(dNphi)/(dt)propto(8.9(1.97*10^-8)((91pi)/1000))/(pi(1.69*10^-6))=9.44*10^-3Wbcolor(white)(l)s^-1#

The magnetic field must change at a rate of #9.44*10^-3# Webers per second.