Question

what is the amplitude of a complex number Z=1​

Answer 1

Solution :-

Amplitude :-

• The argument or amplitude of a complex number z is given by ,

• θ = tan-1 (b/a)

Given that :-

• z = 1

To find the amplitude by using :-

• θ = tan-1 (b/a)

• θ = tan-1 (0/1)

• θ = 0°

• Therefore amplitude of z= 1 is 0°.

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Answer 2

The amplitude of the given complex number is 0 radian

Given

• complex number Z=1

To find

• amplitude of a complex number

• solution

we are provided with a complex number is said and are asked to find the amplitude of the complex number that is given.

we know that the complex number is a set of numbers that include the real part as well as the imaginary part. But the given complex number has only the real part, hence it needs to be written in its standard form of a +bi.

the given complex number could be written as

Z = 1 +0i

now we are required to find the amplitude or the angle that is made with the x-axis of the given complex number written in the standard form.

we know that the amplitude of a complex number could be found by using the formula

tan (theta ) = b/a

or, tan(theta) = 0/1

or, tan(theta) = 0

or, theta = 0

therefore, the amplitude of the given complex number is 0 radian

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