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3 public questions tagged with this topic.

Power in AC Circuits - Power Factor and Wattless Current

What is the average power dissipated in a purely capacitive circuit over one complete cycle?

**Power factor** cos φ = R/Z, 0≤cos φ≤1, at resonance cos φ=1 maximum power, pure L or C cos φ=0 zero average power, current wattless because energy stored returned. Instantaneous power when current maximum in pure L: I=I_peak, V=0 because V leads 90°, so P= V I =0 at that instant, average zero. Power: p_C = i v = i_m v_m cos (ω t) sin (ω t) = (i_m v_m/2) sin (2ω t) . Average over a cycle: P_C = (i_m v_m/2) langle sin (2ω t) rangle = 0 , since langle sin (2ω t) rangle = 0 . Applying X_L = ωL, X_C =

Ref: NCERT > Physics Book > Alternating Currents > Power in AC Circuits - Power Factor and Wattless Current

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Ecosystem Cycles

Which cycle does not have a significant gaseous phase?

The keyed exception is “Phosphorus.” In the context of which cycle does not have a significant gaseous phase, that statement differs from the governing ecological pattern and must be evaluated against the mechanism rather than accepted from wording alone. The relevant inference should follow the pathway from resource supply to organismal uptake and then to ecosystem-level flux. Productivity, trophic transfer, decomposition, and nutrient regeneration are connected, but each measures a different part of that pathway. The remaining alternatives—“Carbon”, “Nitrogen”, “Sulfur”—refer to different st

Ref: Ecology: From Individuals to Ecosystems, Begon et al., 5th Ed., Ch. 18

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