At what angle is the voltage on a sine wave at its maximum positive value?

The voltage on a sine wave reaches its maximum positive value at an angle of 90 degrees. This is because a sine wave starts at zero volts at 0 degrees, increases to its peak positive value at 90 degrees, returns to zero at 180 degrees, and continues to oscillate in a periodic manner.

Understanding the sine function is essential in electrical engineering, especially when dealing with alternating current (AC) circuits. The mathematical representation of a sine wave is given by the equation V(t) = Vmax * sin(ωt), where Vmax is the peak value of the voltage and ω is the angular frequency. At 90 degrees (or π/2 radians), the sine function equals 1, thus the voltage reaches its maximum output.

This concept is crucial for analyzing AC waveforms in various electrical applications, including power generation and signal processing.