The solution at revision #18613 of , by Luisito. This is not the current version.

Statement

11.2.6. A sinusoidal current flows through a solenoid of length = 20 cm and radius = 2 cm, where = 10 A, = 50 Hz. Number of turns in the solenoid = 200. Find the distribution of the eddy electric field strength inside the solenoid. What is the amplitude of the voltage produced by this field in a coil of length = 5 cm and radius = 1 cm placed inside the solenoid along its axis? The number of turns in this coil is = 100.

Solution

Supposing a ring of radius whose center is in the coil axis:

but (where is the vector in direction of induced electric current on the ring that follows the lenght of the ring)
(1)
Moreover,
, (2)
Putting (2) into (1) and taking in account that


The EFM for the coil is given by,ç
(3)
From (2) and (3),

The maximum value is reached when , so

Calculating:

Answer