Sinusoidal Voltage Variation in AC Generators

Steps:

• A simple AC generator rotates a coil in a magnetic field, inducing voltage via Faraday's law.
• The voltage alternates direction and magnitude, following V = V₀ sin(ωt).
• Plot voltage against time to get a smooth sine wave oscillating symmetrically around zero.
• Match the graph showing periodic positive and negative peaks without distortion.

Why C is correct:

• Option C displays a sinusoidal curve, matching the V = V₀ sin(ωt) formula for induced emf in a rotating coil.

Why the others are wrong:

• A shows a straight horizontal line, indicating constant DC voltage, not alternating.
• B depicts a linear ramp, resembling a sawtooth wave from non-uniform rotation, not simple AC.
• D illustrates a square wave, typical of switched DC or electronics, not smooth induction.

Final answer: C