Physics Alternating Current ETEA 2015
PMDC Verified Question 110 of 127
The slope of the graph between inductive reactance and the frequency of an A.C source is related to:
A
Impedance
B
Resistance
C
Power factor
D
Inductance
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: Inductance
Concept:

Inductive reactance is a linear function of frequency: \(X_L = (2\pi L) f\). Plotting \(X_L\) versus \(f\) produces a straight line through the origin with slope proportional to inductance.

Formula / Reaction:

$$X_L = (2\pi L) f \implies \text{Slope} = \frac{\Delta X_L}{\Delta f} = 2\pi L$$

Solution:

  • The gradient of the \(X_L - f\) graph is \(2\pi L\).


  • Dividing the slope by the constant \(2\pi\) gives the self-inductance \(L\) of the coil.


Why other options are incorrect:

  • Opt_A: Impedance is total opposition in combination circuits.


  • Opt_B: Resistance is independent of frequency.


  • Opt_C: Power factor is a dimensionless ratio.

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