Oscillation Frequency for Peak Voltage

[4Phreal]

Homework Statement

Here is the prompt:

http://i.imgur.com/GsZck8J.jpg

Homework Equations

E(max) = NABw = 2pi*NABf

The Attempt at a Solution

E(max) = NABw = 2pi*NABf
= NA*B(nought)*2pi*f
1.50 / (NA*B(nought)*2pi) = f
f = 1.50 / N / ((2.50/100)^2*pi) / 0.109 / (2pi)

The problem I'm having is I don't know how to figure out N because it is not given, and I don't know any other equations that exclude the N variable.

 

[Simon Bridge]

I suspect they have told you what N is.
What does N stand for in that equation?

 

[4Phreal]

N is the number of turns, and I suppose since this isn't a solenoid that N=1

 

[Simon Bridge]

That's the one - the problem statement specifically says "A loop of wire..." - that would be 1.

You could also have got there by applying the Laws of electromagnetism instead of trying to memorize specific results. Then you'd just derive an equation that never has an N in it... you'd feel more confident about the result too, but it would take a lot longer ;)

 

[HalfLostAndSearching]

As a scientist, it is important to understand that sometimes, there may be missing information or variables in a problem. In this case, N represents the number of turns in the coil, which is a crucial factor in determining the oscillation frequency for peak voltage. Without knowing the value of N, it is not possible to accurately calculate the frequency.

However, we can still make some general observations based on the given information. We know that the frequency is directly proportional to the number of turns in the coil, the magnetic field strength, and the area of the coil. We also know that it is inversely proportional to the peak voltage and the resistance of the circuit.

Therefore, we can conclude that increasing the number of turns in the coil, the magnetic field strength, and the area of the coil will result in an increase in the oscillation frequency for peak voltage. On the other hand, increasing the peak voltage or resistance will result in a decrease in the frequency.

In order to accurately calculate the frequency, we will need to know the value of N. This can be obtained through further experimentation or by obtaining more information about the system. As a scientist, it is important to always consider the limitations of the given information and to acknowledge when further research or data is needed to fully solve a problem.