A uniform magnetic field of magnitude \(B\) fills all space and points in the positive \(z\) direction (Figure P29.70). A circular conducting loop in the \(x y\) plane is growing larger, with its radius as a function of time given by \(r(t)=v t\), where \(v\) is a positive constant.

(a) Derive an expression for the magnitude of the emf induced in the loop as a function of time.

(b) What is the direction of the induced current?

Data from Figure P29.70

Transcribed Image Text:

B out of page -(t)