Exponential to Rectangular Form Conversion Calculator 


               


Exponential to Rectangular Form Conversion Calculator





Formula

Exponential to rectangular form formula



Example

Polar to rectangular form conversion example


Enter the Amplitude (r)
Enter the Phase (θ) radians









This exponential to rectangular form conversion calculator converts a number in exponential form to its equivalent value in rectangular form.

Exponential forms of numbers take on the format, re, where r is the amplitude of the expression and θ is the phase of the expression. The amplitude r must be expressed in absolute value form. R cannot be a negative number. θ (theta) must be expressed in unit radians. Unlike the polar form, which is expressed in unit degrees, a complex exponential number is expressed in unit radians.

Rectangular forms of numbers take on the format, rectangular number= x + jy, where x and y are numbers. The x is the real number of the expression and the y represents the imaginary number of the expression.

Exponential forms of numbers can be converted into their rectangular equivalents by the following formulas. The real value (the x value) of the rectangular form can be obtained through the formula, x= r cos(θ). The imaginary value (the y value) of the rectangular form can be obtained through the formula, y= r sin(θ).

So, for example, let's take the expression in exponential form, 20ej1.95. We want to convert this into its equivalent rectangular form. So, to do this, we first obtain the x value. We take the formula and plug in the values, giving us, x= 20 cos(1.95)= -7.4. For the y value, we take the formula and plug in the values, giving us, y= 20 sin(1.95)= 18.58. So the rectangular form is then, -7.4 + j18.58.

And that's all that's required in order to convert from exponential form to the rectangular form.

Since the only 2 components of a number expressed in exponential form are the amplitude and the phase of the signal, these are the only 2 inputs required for the calculator to compute the equivalent number in rectangular form.



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