Question
How is impedance in polar form converted to an equivalent admittance?
Answer Options
- A) Take the reciprocal of the angle and change the sign of the magnitude
- B) Take the reciprocal of the magnitude and change the sign of the angle
- C) Take the square root of the magnitude and add 180 degrees to the angle
- D) Square the magnitude and subtract 90 degrees from the angle
Correct Answer: B
Explanation
Admittance (Y) is the reciprocal of impedance (Z), meaning Y = 1/Z. When impedance is expressed in polar form (Z = |Z| \angle\theta), conversion to admittance in polar form (Y = |Y| \angle\phi) involves performing the mathematical reciprocal operation on the magnitude and phase angle.
The polar form conversion rule dictates that you take the reciprocal of the magnitude and change the sign of the angle. For example, if Z = 100 \angle 30^\circ, then Y = \frac{1}{100} \angle -30^\circ = 0.01 \angle -30^\circ. This simple rule makes the conversion between the two parameters straightforward when using polar notation.
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