# Calculate Instantaneous Voltage of 50 Hz 3-Phase Supply - 100 V

• DunceKirchhoff
In summary, the conversation discusses calculating the instantaneous voltage of each phase in a 50 Hz ac three phase supply with a peak voltage of 100 V at a time of 7.5 ms. The conversation also mentions using the standard form for a sine wave, V=A*cos(wt+theta), to solve the problem and the fact that the voltages in a three phase system are evenly out of phase with each other.
DunceKirchhoff
A 50 Hz ac three phase supply has a peak voltage of 100 V. Calculate the instantaneous voltage of each phase at a time of 7.5 ms.

Looked all over google and can't seem to find an equation for this?

Can anyone point me in the right direction?

DunceKirchhoff said:
A 50 Hz ac three phase supply has a peak voltage of 100 V. Calculate the instantaneous voltage of each phase at a time of 7.5 ms.
Can you attach a pic of the illustration that accompanied this question?

Think about what an AC waveform is. Its a sine wave. the standard form for a sine wave is

V=A*cos(wt+theta) where A=amplitude, w=frequency in radians, & theta=delay.

note with a 3phase system the voltages are evenly out of phase with one another, so they are evenly spread across the unit circle (360 degrees)

Using this information give it another try

## What is the formula for calculating instantaneous voltage of a 50 Hz 3-phase supply?

The formula for calculating instantaneous voltage of a 50 Hz 3-phase supply is V = Vpeak * sin(2πft), where Vpeak is the peak voltage, f is the frequency in Hertz (Hz), and t is the time in seconds.

## What is the peak voltage of a 50 Hz 3-phase supply with a 100 V RMS voltage?

The peak voltage of a 50 Hz 3-phase supply with a 100 V RMS voltage is approximately 141.4 V. This can be calculated using the formula Vpeak = VRMS * √2, where VRMS is the root mean square voltage.

## How do you convert 50 Hz to radians per second?

To convert 50 Hz to radians per second, multiply the frequency in Hertz by 2π. In this case, 50 Hz would be equal to 314.16 radians per second (50 Hz * 2π = 314.16 rad/s).

## What is the significance of a 3-phase supply?

A 3-phase supply is used in many industrial and commercial applications because it provides a more efficient and balanced distribution of power compared to a single-phase supply. It also allows for higher power output and less voltage drop over long distances.

## How can I measure the instantaneous voltage of a 50 Hz 3-phase supply?

The instantaneous voltage of a 50 Hz 3-phase supply can be measured using an oscilloscope. This device allows you to view the voltage waveform and calculate the instantaneous voltage at any given time. Alternatively, you can also use a digital multimeter to measure the peak voltage and calculate the instantaneous voltage using the formula mentioned in the first question.

Replies
7
Views
1K
Replies
8
Views
2K
Replies
3
Views
2K
Replies
1
Views
1K
Replies
6
Views
6K
Replies
3
Views
1K
Replies
2
Views
1K
Replies
1
Views
2K
Replies
10
Views
2K
Replies
6
Views
3K