Respuesta :
Answer:
0.517 mV
Explanation:
Length of wire = 1.07 m
For square:
Perimeter = 1.07 m
Let a be the side of square
So, 4a = 1.07
a = 0.2675 m
Area of square, A 1 = side x side = 0.2675 x 0.2675 = 0.07156 m^2
For circle:
Circumference = 1.07 m
Let r be the radius of circle
So, 2 π r = 1.07
2 x 3.14 x r = 1.07
r = 0.1704 m
Area of circle, A 2 = π r^2 = 3.14 x 0.1704 x 0.1704 = 0.09115 m^2
Change in area, dA = A2 - A1 = 0.09115 - 0.07156 = 0.0196 m^2
Time taken in changing the area, dt = 4.36 s
Magnetic field, B = 0.115 T
According to the Farady's law of electromagnetic induction
[tex]e = \frac{d\phi }{dt}=\frac{dBA }{dt}=B\frac{dA }{dt}[/tex]
[tex]e = 0.115\times \frac{0.0196}{4.36}[/tex]
e = 5.17 x 10^-4 V
e = 0.517 mV
Thus, the induced emf is 0.517 mV.
