Explanation:
Given that,
Radius = 10.5 cm
Magnetic field = 0.117 T
Time = 0.243 s
After stretched, area is zero
(I). We need to calculate the magnetic flux through the loop before stretched
Using formula of magnetic flux
[tex]\phi=B\times A[/tex]
[tex]\phi=B\times \pi r^2[/tex]
Where, B = magnetic field
r = radius
Put the value into the formula
[tex]\phi=0.117\times3.14\times(10.5\times10^{-2})^2[/tex]
[tex]\phi=4.05\times10^{-3}\ Tm^2[/tex]
(II). We need to calculate the magnetic flux through the loop after stretched
[tex]\phi=B\times A[/tex]
Here, A = 0
[tex]\phi=0[/tex]
So, The magnetic flux through the loop after stretched is zero.
(III). We need to calculate the magnitude of the average induced electromotive force
Using formula of the induced electromotive force
[tex]\epsilon=-\dfrac{d\phi}{dt}[/tex]
[tex]\epsilon=-\dfrac{\phi_{after}-\phi_{before}}{t}[/tex]
[tex]\epsilon=-\dfrac{0-4.05\times10^{-3}}{0.243}[/tex]
[tex]\epsilon =16.67\times10^{-3}\ V[/tex]
Hence, This is the required solution.