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A uniform magnetic field vector B is directed out of the page. A loop of wire of area 0.8 m2 is in the plane of the page. At a certain instant, the field has a magnitude of 5.0 T and is decreasing at the rate of 0.5 T/s. The magnitude of the induced emf in the wire loop at this instant is most nearly:_______

Respuesta :

Answer: 0.4 V

Explanation:

Given

The area of the loop is [tex]A=0.8\ m^2[/tex]

The magnetic field is changing at the rate of [tex]\dot{B}=-0.5\ T/s[/tex]

Induced EMF is given by

[tex]E=-\dfrac{d\phi }{dt}\\\\E=-\dfrac{d(B\cdot A)}{dt}\\\\E=-A\dfrac{dB}{dt}\\E=-0.8\times (-0.5)\\E=0.4\ V[/tex]

The magnitude of induced emf is 0.4 V

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