To calculate the amplitude (or magnitude) of a complex number, you can use the following formula:
Amplitude = sqrt(Real^2 + Imaginary^2)
Here's a step-by-step guide to calculating the amplitude:
Consider a complex number in the form z = a + bi, where "a" represents the real part and "b" represents the imaginary part.
Square the real part and the imaginary part separately. In other words, calculate a^2 and b^2.
Add the squared values from step 2. You'll have a^2 + b^2.
Take the square root of the result obtained in step 3. This gives you the amplitude of the complex number.
Let's look at an example:
Consider the complex number z = 3 + 4i.
Step 1: The real part is a = 3, and the imaginary part is b = 4.
Step 2: Square the real and imaginary parts: a^2 = 3^2 = 9 and b^2 = 4^2 = 16.
Step 3: Add the squared values: 9 + 16 = 25.
Step 4: Take the square root of 25: sqrt(25) = 5.
Therefore, the amplitude (or magnitude) of the complex number 3 + 4i is 5.