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The phase (in °) of the ratio 1+jj1+𝑗𝑗 is 90 -90 45 -45

Question

The phase (in °) of the ratio 1+jj1+𝑗𝑗 is 90 -90 45 -45

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Solution

The phase of a complex number is calculated using the formula θ = atan2(imaginary part, real part).

In this case, the complex number is 1+jj1+jj.

First, we need to simplify this complex number. It seems like there might be a typo in your question, as "jj" is not standard notation in complex numbers. Assuming that "jj" is a typo and you meant "j" (the imaginary unit), the complex number would be 1+j/1+j.

Now, let's calculate the phase:

  1. Calculate the real part: The real part of the complex number is 1.

  2. Calculate the imaginary part: The imaginary part of the complex number is 1.

  3. Substitute these values into the formula: θ = atan2(1, 1).

  4. Use a calculator to find the arctangent of 1/1, which is 45 degrees.

So, the phase of the complex number 1+j/1+j is 45 degrees.

This problem has been solved

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