Q- A circular loop with radius a = 0.35 m and N = 21 turns lies in the plane of the page. The wire used in constructing the loop has a resistance per unit length of dR/dl = 0.11 W/m. A spatially uniform magnetic field points into the page. In the interval between t = 0 and 10 s, the strength of this field varies according to the expression B(t) = 0.007 t³ T/s³.

(a) Calculate the magnitude of the induced EMF in the coil at t = 5 s.

(b) Calculate the current in the winding at t = 5 s. 

(c) In the time interval between 0 and 10 s, how much electrical charge passes any given point in the winding?  

Solution: