E max = 0.942 V/m is the maximum electrical field amplitude at a position 1.5 cm away from the solenoid axis.
An electric field is what?
The physical force that surrounds ionised objects and exerts force on every other energetic particles with in field, either attracting of repel them, is known as an electric field (or E-field). It can also refer to a collection containing charge particles' physical field.
Briefing
Diameter, D, equals 4 cm = 400 parts per million m
R = d/2 ≈ 0.04/2 = 0.02 metres for the circumference.
The electric potential is provided by Faraday's law;
Frequency; f = 10 Hz
From Faraday’s law, the electric field is given by;
E = -(r/2)(dB/dt)
We can formulate the magnetic field's equation as follows based on the magnetic field's variation:
B(t) = B_c + B_o*sin (2πft)
B(t) = 2sin(2*10t) + 10
Thus;
dB/dt = 40π cos 20πt
When cos 20t = -1, the electric field is at its maximum value.
(dB/dt)_max = -40π
Thus, with respect to the solenoid axis, at r = 1.5 centimeter = 0.015 m, we obtain;
E = -(0.015/2) × -40π
E = 0.942 V/m