AC Circuit_Complex numbers_ENG5226

Complex number can be defined as

• It is a combination of real and imaginary numbers

• It is a combination of prime and decimal numbers

• It is a combination of odd and even numbers

• It is a combination of integers and rational numbers

Complex numbers can be written using two methods as mentioned below;

• Magnitude and Angle

• Rectangular and Polar form

• Odd and Even

• Real and Imaginary

A "rectangular number" consists of two parts as mentioned below

• Magnitude and Angle

• Positive and Negative numbers

• Odd and Even numbers

• Real and Imaginary

A "Polar number" consists of two parts as mentioned below;

• Magnitude and Angle

• Positive and Negative numbers

• Odd and Even numbers

• Real and Imaginary

5 + j7 is a complex number written in ________ form.

• Polar form

• Algebraic form

• Rectangular form

• None of the given options

5 ∠ 45° is a complex number written in ________ form.

• Polar form

• Algebraic form

• Rectangular form

• None of the given options

For the complex number Z = R + jX, which one is the real component?

• R

• j

• X

• Z

For the complex number Z = R + jX, which one is the imaginary component?

• R

• j

• X

• Z

For the series RLC circuit, find the "total impedance Z" if Supply Voltage = 110 V, 60 Hz, R = 50 Ω, L = 0.15 H, C = 0.00011 F.

• 50+j32.39

• 60+j45.26

• 70+j57.26

• 80+j68.69

For the series RLC circuit, find the "total impedance Z" if Supply Voltage = 110 V, 70 Hz, R = 60 Ω, L = 0.15 H, C = 0.00011 F.

• 50+j32.39

• 60+j45.26

• 70+j57.26

• 80+j68.69