A very long solenoid with a circular cross section and radius r1= 1.30 cm with ns= 260 turns/cm lies inside a short coil of radius r2= 4.60 cm and Nc= 23 turns. If the current in the solenoid is ramped at a constant rate from zero to Is= 1.90 A over a time interval of 88.0 ms, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

0.00851 volts

Explanation:

radius r1= 1.30 cm with ns= 260 turns/cm

radius r2= 4.60 cm and Nc= 23 turns

constant rate from zero to Is= 1.90 A

time interval of 88.0 ms

Area of the solenoid

Mututal Inductance

M=uo*n*N*A1

a)

EMF induced in the outer coil

E=M(dIs/dt)

they start with the same

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2