Physics Alternating Current PMDC Conceptual Practice
PMDC Verified Question 60 of 127
When an alternating voltage is applied across a pure inductor, the voltage across the inductor leads the current by an angle of:
A
\(0\text{ rad}\)
B
\(\pi\text{ rad}\)
C
\(\frac{\pi}{4}\text{ rad}\)
D
\(\frac{\pi}{2}\text{ rad}\)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \(\frac{\pi}{2}\text{ rad}\)
Concept:

The self-induced back emf in an inductor reaches its peak \(90^\circ\) (\(\pi/2\text{ radians}\)) before the current reaches its peak.

Formula / Reaction:

$$\phi = +\frac{\pi}{2}\text{ radians} = +90^\circ$$

Solution:

  • Induced voltage is proportional to \(di/dt\), which leads \(i(t)\) by \(\pi/2\text{ rad}\).


Why other options are incorrect:

  • Opt_A: Phase angle for a pure resistor.


  • Opt_B: Phase inversion (\(180^\circ\)).


  • Opt_C: \(45^\circ\) phase angle in mixed circuits.

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