A flat loop of wire consisting of a single turn of cross-sectional area 8.80 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 1.80 T in 1.10 s. What is the resulting induced current if the loop has a resistance of 2.20

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Answer:

The magnitude of the induced current is 4.73 x 10⁻³ A.

Explanation:

Given;

number of turns, N = 1

cross sectional area of the loop, A = 8.8  cm² = 8.8 x 10⁻⁴ m²

change in magnetic field strength, ΔB = 1.8 T -  0.5 T = 1.3 T

change in time, Δt = 1.10 s

resistance of the loop, R = 2.2 ohm

The magnitude of the induced emf is calculated as;

[tex]emf = \frac{NA \Delta B}{\Delta t} \\\\emf = \frac{1 \times 8.8\times 10^{-4} \times 1.3}{1.10} \\\\emf = 1.04 \times 10^{-3} \ V[/tex]

The induced current in the loop is calculated as;

[tex]I = \frac{emf}{R} \\\\I = \frac{1.04 \times 10^{-3}}{2.2} \\\\I= 4.73 \times 10^{-4} \ A[/tex]

Therefore, the magnitude of the induced current is 4.73 x 10⁻³ A

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