Sine Wave Voltage Calculator

Formula

To calculate the sine wave voltage:

Vsine = V sin(w dt)

Where:

Vsine is the Sine Wave Voltage (volts)
V is the maximum voltage (volts)
w is the angular frequency (rad/s)
dt is the total time (seconds)

What is Sine Wave Voltage?

Sine wave voltage refers to the voltage of an alternating current (AC) that varies sinusoidally with time. It is characterized by its maximum voltage, angular frequency, and the time period over which it is measured. This type of voltage is commonly found in AC power supplies and signal generators.

Example Calculation 1

Let's assume the following values:

Maximum Voltage (V): 10 volts
Angular Frequency (w): 50 rad/s
Total Time (dt): 0.02 seconds

Using the formula:

Vsine = V sin(w dt) = 10 sin(50 × 0.02) = 10 sin(1) ≈ 10 × 0.8415 ≈ 8.415 volts

Example Calculation 2

Let's assume the following values:

Maximum Voltage (V): 5 volts
Angular Frequency (w): 100 rad/s
Total Time (dt): 0.01 seconds

Using the formula:

Vsine = V sin(w dt) = 5 sin(100 × 0.01) = 5 sin(1) ≈ 5 × 0.8415 ≈ 4.2075 volts