Question
Which of the following represents pure capacitive reactance of 100 ohms in rectangular notation?
Answer Options
- A) 0 -j100
- B) 0 + j100
- C) 100 - j0
- D) 100 + j0
Correct Answer: A
Explanation
Rectangular notation expresses impedance (Z) as a complex number in the form Z = R + jX, where R is the resistive component (plotted on the horizontal axis) and X is the reactive component (plotted on the vertical axis, preceded by the imaginary operator j).
For a pure capacitive reactance, the resistive component (R) is zero. Capacitive reactance (X_C) is conventionally assigned a negative value. Therefore, a pure capacitive reactance of 100 \Omega is represented as Z = 0 + j(-100), which simplifies to 0 - j100. This point would be plotted on the negative portion of the vertical (imaginary) axis.
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