AC Theory

Question 1

what is the formula for complex numbers, and what is another name for it?

Answer 1

z= x+jy
Rectangular form

Question 2

what is an Imaginary number?

Answer 2

It is a number that when it is squared, gives negative a result.
j=√ -1

Question 3

How is polar form written?

Answer 3

Z∠ Θ

Question 4

How do you convert polar form to rectangular form?

Answer 4

X∠Θ
XCos j Sin Θ
XCiSΘ

Question 5

Formula for impedance When L?

Answer 5

2πƒL

Question 6

Formula for impedance When C?

Answer 6

1/2πƒC

Question 7

What is the formula for the total Power of a circuit?

Answer 7

P=VICosθ
P=I²R

Question 8

What are the formulas to find the power factor?

Answer 8

Cosθ =
• R/Z
•Iᵣ / Iₜ
•Vᵣ / Vₜ

Question 9

What is the formula the resonance of a series circuit?

Answer 9

ƒᵣ = 1/(2π√ LC)

Question 10

What is the formula the resonance of a Parallel circuit? and when is it different?

Answer 10

•ƒᵣ =1/2π √(1/LC - R²/L²)
•ƒᵣ =1/2πL √(L/C - R²)
unless R is smaller than L/C then:
•ƒᵣ = 1/(2π√ LC)