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A circular conducting loop of radius 19.0 cm is located in a region of homogeneous magnetic field of magnitude 0.100 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 289 Ω. The magnetic field is now increased at a constant rate by a factor of 2.20 in 19.0s. Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing.

Respuesta :

Answer:

e=0.00071 V

Explanation:

Given that

radius , r= 19 cm

Area ,A= π r²

Initial magnetic field ,B₁ = 0.1 T

Final magnetic filed ,B₂ = 2.2 x 0.1 = 0.22 T

time ,Δt= 19 s

The change in magnetic filed

ΔB = 0.22 - 0.1 T

ΔB =0.12 T

The induced emf is given as follows

[tex]e=A\times \dfrac{\Delta B}{\Delta t}[/tex]

[tex]e=\pi \times 0.19^2\times \dfrac{0.12}{19}\ V[/tex]

e=0.00071 V

Therefore induced emf will be 0.00071 V.

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