Question

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.

Answer 1

e=0.00071 V

Step-by-step 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

`e=A* (\Delta B)/(\Delta t)`

`e=\pi * 0.19^2* (0.12)/(19)\ V`

e=0.00071 V

Therefore induced emf will be 0.00071 V.