Answer:
0.175s
Explanation:
To find the time elapsed you use the following formula:
[tex]emf=-N\frac{d\Phi}{dt}=-N\frac{d(AB)}{dt}[/tex]
N: turns
A: cross area of the loop
B: magnitude of the magnetic field
for discrete changes and for a constant area A you have:
[tex]emf=-N(\pi r^2)\frac{\Delta B}{\Delta t}[/tex]
You replace the values of the parameters to calculate the elapsed time:
[tex]\Delta t=-N\frac{(\pi r^2)\Delta B}{emf}\\\\\Delta t=-(450)\frac{(\pi(0.0254m)^2)(3.00T-0.00T)}{15.6V}\\\\\Delta t=0.175s[/tex]
hence, the elapsed time is 0.175s
