The voltage at the 270-degree point of a sine wave with a maximum voltage of 10V is what value?

To understand the voltage at the 270-degree point of a sine wave, it's essential to visualize what the sine wave looks like in relation to its amplitude and the angles associated with it.

The maximum voltage of the sine wave is stated to be 10V. A sine wave oscillates between its maximum positive voltage, which in this case is +10V, and its maximum negative voltage, which is -10V. The standard sine wave function can be expressed as:

[ V(t) = V_{max} \cdot \sin(\theta) ]

where ( V_{max} ) is the maximum voltage and ( \theta ) is the angle in degrees.

At various key points along the sine wave:

• At 0 degrees (the starting point), the sine of 0 is 0, resulting in 0V.

• At 90 degrees, the sine value reaches its maximum, which results in a voltage of +10V.

• At 180 degrees, the sine returns to 0V.

• At 270 degrees, the sine value is -1. Thus, applying the maximum amplitude of 10V results in:

[ V(270^\circ) = 10V \cdot \sin