Question

The amplitude of 0 is
(a) 0, (b)
pi/2, (c) pi, (d) none​

Answer 1

The correct option would be D, none of these.

Given

• number 0

To find

• The amplitude of 0 is

Solution

we are provided with a complex number 0 and asked to find the amplitude of this number that is zero.

we know that a complex number has a real part as well as an imaginary part containing i. in the given question the complex number is given as,

zero or 0

this could be represented in more understandable manner as,

Z = 0 + 0i ( Consideringg the complex number to be Z)

now the amplitude or angle is given as

tan^(-1){0/0}

or, it is not defined has the given expression does not have a correct and reliable answer .

Therefore, the correct option would be D, none of these.

#SPJ3

Answer 2

Answer:

The amplitude of 0 doesnot exist.

Explanation:

number given = 0

Amplitude of a number:

The polar representation of z is z = r(cos θ + i sin θ). Here, r is the modulus of z and θ is called the amplitude or argument of the complex number. The formula to find the amplitude of a complex number is: θ = tan-1(y/x) This value is defined by the function 2nπ + θ, where n ∈ I (i.e., the set of all integers).

As the number given = 0

it can be represented in the complex form z= 0 + i0

x=0, y= 0

we know amplitude = $tan^{-1}(y/x)$

                                 =$tan^{-1}(0/0)$

As 0/0 is undefined, so amplitude is undefined and doesnot exist