Question

a spatially uniform magnetic field is restricted in a circular region of space with radius of 4 cm and has a constant di...


a spatially uniform magnetic field is restricted in a circular region of space
with radius of 4 cm and has a constant direction; see figure below. If the
magnetic field varies with time t as B(t) = (2.5 mT/s2)t2 , find the magnitude of the induced electric field (V/m) at a distance of 5.2 cm from the center of the magnetic field region at t = 1.17 s

Transcribed: mgnate field

Answer

Given,B(t)= 2.5mT/s2t2distance d=5.2cmt=1.17s

Faradays law can be written in terms of the induced electric field as  E dl =dΦmdt.Faradays law can be written in terms of the induced electric field as  E .dl =-dφmdtmagnetic flux φm=BAφm=2.5×10-3T/s2t2×π(0.04)2 φm=1.257×10-5(t2)E.dl=E(2π×0.052)=0.327E0.327E=ddt1.257×10-5(t2)0.327E=1.257×10-5×2t0.327E=1.257×10-5×2×1.17E=9×10-5 V/m

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