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A single loop of wire with an area of 0.0900 m^2 is in a uniform magnetic field that has an initial value of 3.80 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.160 T/s.

Reqiured:
a. What emf is induced in this loop?
b. If the loop has a resistance of 0.600Ω, find the current induced in the loop.

Respuesta :

okpalawalter8

Answer:

a) [tex]E=0.0144[/tex]

b)  [tex]I=0.024A[/tex]

Explanation:

From the question we are told that:

Area [tex]A=0.09m^2[/tex]

Magnetic Field [tex]B=3.80T[/tex]

Rate [tex]\frac{dB}{dt}=0.160T/s[/tex]

Generally the equation for EmF E is mathematically given by

[tex]E=-A\frac{dB}{dt}[/tex]

[tex]E=-(0.0900*0.160)[/tex]

[tex]E=0.0144[/tex]

b)

at Resistance R=0.60

Generally the equation for Current I is mathematically given by

[tex]E=IR[/tex]

[tex]I=\frac{0.0144}{0.600}[/tex]

[tex]I=0.024A[/tex]

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