(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant 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

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Finding RMS current in an AC solenoid

**Physics Forums | Science Articles, Homework Help, Discussion**