Answer:
[tex]E=84.5V[/tex]
Explanation:
From the question we are told that:
Number of Turns [tex]N=332turns[/tex]
Radius [tex]r= 30cm[/tex]
Field Change [tex]B=56mt-29mt=27mt[/tex]
Time [tex]t=63ms[/tex]
Generally the equation for Magnetic Field is mathematically given by
[tex]\frac{dB}{dt}=\frac{27*10^{-3}}{29*10^{-3}}[/tex]
[tex]\frac{dB}{dt}=0.9T/s[/tex]
Generally the Flux at 332 turns is mathematically given by
[tex]\phi=N*A*B[/tex]
Generally the equation for Area of coil is mathematically given by
[tex]A=\pi*r^2[/tex]
[tex]A=\pi*(r*10^{-2})^2[/tex]
Since
[tex]\phi=332*\pi*(\theta*10^{-2})^2*B[/tex]
Therefore
[tex]\frac{d \phi}{dt}=332*\pi*(900*10^{-4}*\frac{dB}{dt}[/tex]
Generally the equation for emf Magnitude is mathematically given by
[tex]E=\frac{d\phi}{dt}[/tex]
[tex]E=332*\pi*(900*10^{-4}*0.9[/tex]
[tex]E=84.5V[/tex]
