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chinye11
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Homework Statement
A 2000 turn solenoid of length 1.50 m and diameter 5.00 cm has a dc resistance of 3.0. It is
connected to a 50 Hz, 40.0 Volt (rms) ac supply. Find the rms current in the solenoid
Homework Equations
Vind = L di/dt
Vind = Induced EMF
Ohm's Law
V-Vind = IR
L = (4pi x 10^-7)n^2 Al
Where L=self inductance and l = length
The Attempt at a Solution
This is my first time using this website and i am not sure how to get in symbols, I will do my best to be clear
I started finding the inductance.
I then used Ohm's Law: V-Vind=IR
After mathematical manipulation I got I = V/R[1-e^(Rt/L)]
My question is as regards the frequency. It seems to have no effect on the system if you use my method yet if I try to find the induced E.M.F. using Faraday's Law on the magnetic flux you will find:
Vind= 0.05 Sin(theta) I(t)
Vind= 0.05 Sin (2 pi (f) t) I(t) from theta=wt
So I was wondering if someone could explain both the concept and the calculations of the effect of the frequency. Thank You.