a uniform magnetic field B exists in the cylindrical region of radius 10 cm as .A uniform wire of length 80 cm and resistance 4.0 Ω is bent into a squre frame and is placed with one side along a diameter of the cylindrical region. If the magnetic field increases at a constant rate of 0.01 T/s,Find the current induced in the frame.

Side of the loop = 20 cm = 0.2 marea = 0.2×0.2 = 0.04 m2area of the cylinderical region = πr2 = 3.14×0.12 = 0.0314 m2when magnetic field changes, flux through the loop changes.Flux = BARate of change of flux = inducend emfe = -d(BA)dt =- AdBdt = -A×0.01 =- 0.03×0.01 = 3×10-4 voltnegative sihn states that induced emf oppose the change occur into it.current induced = eR = 3×10-44 = 0.75 ×10-4 A= 0.075 mA

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