What is the peak emf generated (in V) by rotating a 1000 turn, 42.0 cm diameter coil in the Earth's 5.00 ✕ 10−5 T magnetic field, given the plane of the coil is originally perpendicular to the Earth's field and is rotated to be parallel to the field in 12.0 ms?

Respuesta :

Answer:

5.77 Volt

Explanation:

N = 1000, Diameter = 42 cm = 0.42 m,  t = 12 ms = 12 x 10^-3 s

Change in magnetic field, B = 5 x 10^-5 T

The peak value of emf is given by

e = N x dФ / dt

e = N x A x dB/dt

e = (1000 x 3.14 x 0.21 x 0.21 x 5 x 10^-5) / (1.2 x 10^-3)

e = 5.77 Volt

The peak emf generated will be equal to 5.77 Volt

What will be the peak emf?

Given that,

Number of turns n = 1000

Diameter D= 42 cm = 0.42 m,

Time t = 12 milisecomds = [tex]12\times 10^{-3}[/tex] sec

Change in a magnetic field, [tex]B=5\times10^{-5} T[/tex]  

The peak value of emf is given by

[tex]e=N\times\dfrac{d\phi }{dt}[/tex]

[tex]e=N\times A\times \dfrac{dB }{dt}[/tex]            

[tex]e=\dfrac{(1000\times 3.14\times0.21\times0.21\times5\times10^{-5} )}{1.2\times10^{-3} }[/tex]

[tex]e=5.77 volt[/tex]

Thus the peak emf generated will be equal to 5.77 Volt

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