2. The current in a very long solenoid with radius a and n turns per unit length varies over time as i(t) = Ct². Concentric with the solenoid is a conducting ring of radius r. a) Write an expression for the potential difference induced in the ring. b) Write an expression for the magnitude of the electric field induced at an arbitrary point on the ring. c) Is the ring necessary for the induced electric field to exist? Radius = r Radius i(t) = Ct² -O V = V(t) = a

2. The current in a very long solenoid with radius a and n turns per unit length varies over time as i(t) = Ct². Concentric with the solenoid is a conducting ring of radius r. a) Write an expression for the potential difference induced in the ring. b) Write an expression for the magnitude of the electric field induced at an arbitrary point on the ring. c) Is the ring necessary for the induced electric field to exist? Radius = r Radius i(t) = Ct² -O V = V(t) = a