# What is the equation for a sinusoidal voltage?

## What is the equation for a sinusoidal voltage?

A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.

How do you find the frequency of a sine voltage?

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π.

### What is frequency in a sinusoidal waveform?

The number of times the sine wave goes through a complete cycle in the space of 1 second is called the frequency. Indeed the unit used to be cycles per second, but now the unit of measurement is hertz (Hz). A frequency of 1000Hz, or 1 kHz, means that the sine wave goes through 1000 complete cycles in 1 s.

What is the maximum value of a sinusoidal voltage?

A sinusoidal voltage has a maximum value of 10 V and a frequency of 100 Hz. If the voltage has a phase angle of 30°, what will be the instantaneous voltage at times of (a) t = 0, (b) t = 0.5 ms? A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current.

#### When does a sinusoidal circuit remain the same frequency?

1. It remains sinusoidal of the same frequency as the driving source if the circuit is linear (with constant R, L, C values). 2. The amplitude differs from that of the source. 3. The phase angle differs from that of the source. 10 Purpose of Chapter 9 Directly finding the steady-state response without solving the differential equation.

How to calculate the sinusoidal power of a load?

Decompose the instantaneous power in different ways 2. Instantaneous powers of resistive, inductive, and capacitive loads 3. Power factor and reactive factor 9 Definitions where sin . 2 cos , 2 m m  m m V I Q V I P 

## How is the RMS voltage of a sinusoidal waveform calculated?

This means then that the sinusoidal rms voltage from the wall sockets of a UK home is capable of producing the same average positive power as 240 volts of steady DC voltage as shown below. So how do we calculated the RMS Voltage of a sinusoidal waveform. The RMS voltage of a sinusoid or complex waveform can be determined by two basic methods.