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Alchen
1 month ago
13

A flat coil of wire consisting of 20 turns, each with an area of 50 cm2, is positioned perpendicularly to a uniform magnetic fie

ld that increases its magnitude at a constant rate from 2.0 T to 6.0 T in 2.0 s. If the coil has a total resistance of 0.40 Ω, what is the magnitude of the induced current
Physics
1 answer:
inna [3.1K]1 month ago
5 0

Answer:

i = 0.5 A

Explanation:

As established, magnetic flux can be expressed as

\phi = NBA

where we have

N representing the number of turns

B as the magnetic field

A denoting the area of the loop

The change in magnetic flux induces EMF in the coil

Thus, we have

EMF = NA\frac{dB}{dt}

Applying all values will yield the induced EMF

EMF = (20)(50 \times 10^{-4})(\frac{6 - 2}{2})

EMF = 0.2 volts

Using Ohm's law, we have

current = \frac{EMF}{Resistance}

i = \frac{0.2}{0.40} = 0.5 A

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