Which one of the following statements is true? A. Power dissipation of a pure inductor decreases with operating frequency B. Power dissipation of a pure inductor is at a maximum for dc source voltages C. Power dissipation of a pure inductor increases with operating frequency D. There is no meaningful relationship between the power dissipation of a pure inductor and its operating frequency E. None of the above

Power dissipation of a pure inductor decreases with operating frequency
Power dissipation of a pure inductor is at a maximum for dc source voltages
Power dissipation of a pure inductor increases with operating frequency
There is no meaningful relationship between the power dissipation of a pure inductor and its operating frequency E. None of the above

The correct answer is: C. Power dissipation of a pure inductor increases with operating frequency.

An inductor is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through it. The amount of energy stored is proportional to the square of the current, and the inductance of the inductor is a measure of how much energy it can store.

The power dissipated by an inductor is the rate at which energy is lost in the inductor. The power dissipated is equal to the square of the current times the resistance of the inductor. The resistance of an inductor is proportional to its length and inversely proportional to its cross-sectional area.

The operating frequency of an inductor is the frequency of the alternating current that flows through it. The higher the operating frequency, the greater the current that flows through the inductor, and the greater the power dissipated.

Therefore, the power dissipation of a pure inductor increases with operating frequency.

Here is a more detailed explanation

of each option:

  • Option A: Power dissipation of a pure inductor decreases with operating frequency. This is not true because the power dissipated is proportional to the square of the current, and the current increases with operating frequency.
  • Option B: Power dissipation of a pure inductor is at a maximum for dc source voltages. This is not true because the power dissipated is proportional to the square of the current, and the current is zero for dc source voltages.
  • Option C: Power dissipation of a pure inductor increases with operating frequency. This is true because the power dissipated is proportional to the square of the current, and the current increases with operating frequency.
  • Option D: There is no meaningful relationship between the power dissipation of a pure inductor and its operating frequency. This is not true because the power dissipated is proportional to the square of the current, and the current increases with operating frequency.
  • Option E: None of the above. This is not true because option C is the only option that is correct.