Math Help

Archive for the ‘Math Formulas’ Category

Question: Help with Tesla Coil Math Formulas please?

I already have the Tesla Coil. I want to measure the inductance of the secondary coil. Can I do that without using my Fluke LCR Meter? I have also an volt/ohm meter from Radio Shack. I think there’s some Math Formulas I remember from elctronics classes where you can find other ways around using the LCR meter. If you can’t do it one way, you can do it another?

Answer: What is your operating frequency? Because I have an idea, and you will need the components and meters described below. Choose a frequency which is at that operating frequency.

Do you have a function generator or borrow one:

http://en.wikipedia.org/wiki/Function_generator

Have a collection of resistors ready. You can get lots of them in variety kits at the same place you mentioned, Radio Shack.

Is that other meter an AC voltmeter? You will need one.

Now apply about 10 VAC or so across a resistor and the coil in series.

The AC voltmeter will measure the voltage across the resistor. Then do the inductor.

This is trial and error, adjust or change the resistor value until the two voltages are equal.

The formula you are probably thinking about is:

XL = R = 2 π f L

XL is inductive reactance
R is the resistance
f is frequency
L is inductance
π of course is pi

2 π f L = R

Solve for L by dividing both sides by 2 π f:

(2 π f L)/(2 π f) = R/(2 π f)

This becomes:

L = R/2πf

Simple Interest Formula – YourTeacher.com – Math Help

The laws of exponents are very useful in math. Below are laws of exponents. some are negative exponents laws, some are fractions with exponents, and some are logs with exponents. Mathematical exponents are very useful in all areas of math. If you are not familiar with the laws of exponents, you can use our math exponents worksheets to practice using the laws of exponents. 

What are the Laws of exponents?

In the following, p, q are real numbers and a, b are positive numbers and m, n are positive integers.

First, let’s start with defining what an exponent is. The definition of an exponent is given by the following. In a p, p is called the exponent and a is the base. a p is also called the pth power of a.  The function y = a x is called an exponential function.

 

More laws of exponents to come…

• negative exponents
• fractions with exponents or fractional exponents
• logs and exponents

This What does 100 Factorial Equal? section gives an example of how large the number the factorial function can yield. 100 Factorial is a very large number and many electronic calculators are not capable of computing that large of a number.

So, What does 100 Factorial Equal?

Below is what 100 Factorial equals.

100 Factorial

Alternatively, you can write 100 factorial in scientific form as follows:

Video showing the basics of what the factorial function is: