ROSHAN MUJEEB
Last Activity: 4 Years ago
Magnetic field the straight wire of currentiiat a distancerrisB=μ0i2πrB=μ0i2πr
flux associated with the loop isϕ=BA=μ0i2πra2ϕ=BA=μ0i2πra2
∴e=−dϕdt=−μ02πia2ddt(1r)=−μ02πia2(−1r2)drdt∴e=-dϕdt=-μ02πia2ddt(1r)=-μ02πia2(-1r2)drdt
Hence the induced emf in the loop is
e=μ02πia2r2v(∵dr/dt=v)