Question

Electromagnetic Induction?

Answer 1

Faraday's Law:

• Induced emf: `ccE = - Phi^'`

Here:

• Flux: `Phi = underbrace( B)_("magnetic field") * underbrace( A)_("area orthogonal to field")`

• `B = {( B_o, 0 le x le b),( 0, x gt b):}`

• `A = PQ*QR qquad qquad A' = ( PQ*QR)^' = PQ * v`

`:. ccE = - Phi^' = {( - B_o \ PQ \ v, 0 le QR le b),( 0, b lt QR lt 2b):}`

And, integrating:

`Phi = {( B_o \ PQ \ QR, 0 le QR le b),( B_o \ PQ \ b, b lt QR lt 2b):}`