Electrical Amplitude Period Phase Shift Calculator

Calculator Inputs

Waveform Type

Coefficient A

Coefficient B

Coefficient C

Vertical Shift D

Angle Unit For C

x-Axis Unit Label

Sample Points

Decimal Precision

Formula Used

This calculator uses the standard sinusoidal model:

y = A sin(Bx + C) + D or y = A cos(Bx + C) + D

Amplitude = |A|

Period = 2π / |B| when C is in radians.

Period = 360 / |B| when C is in degrees.

Frequency = 1 / Period

Phase Shift = -C / B

Peak-to-Peak = 2 × Amplitude

RMS = Amplitude / √2 for a pure sinusoidal waveform.

How To Use This Calculator

Select sine or cosine as the waveform type.
Enter coefficient A as the peak multiplier.
Enter coefficient B as the horizontal multiplier.
Enter coefficient C as the phase angle inside the function.
Enter D when the signal has a vertical or DC offset.
Choose radians or degrees for coefficient C.
Add a unit label, such as seconds, milliseconds, degrees, or radians.
Press Calculate to show results above the form.
Use the CSV or PDF buttons to save the same calculation.

Example Data Table

Waveform	A	B	C	D	Angle Unit	Amplitude	Period	Phase Shift
sin	12	6.283185307	0.785398163	0	Radians	12	1	-0.125
cos	5	2	30	1	Degrees	5	180	-15
sin	-8	4	-1	2	Radians	8	1.5708	0.25

Understanding The Waveform Results

Electrical sine and cosine signals describe many alternating quantities. Voltage, current, carrier waves, and control signals often follow this pattern. A calculator helps you read the key features quickly. It also reduces mistakes caused by signs, units, and angle conversion.

What Amplitude Means

Amplitude is the distance from the center line to a peak. In the standard model, it equals the absolute value of A. A negative A does not make amplitude negative. It reflects the waveform across the center line. Peak to peak value is twice the amplitude. RMS value is the peak value divided by the square root of two, when the signal is a pure sinusoid.

Why Period Matters

Period is the length of one complete cycle. When the angle is in radians, the period is two pi divided by the absolute value of B. When the angle is in degrees, the period is three hundred sixty divided by the absolute value of B. In time based electrical work, period gives seconds per cycle. Frequency is the reciprocal of period. Higher frequency means shorter cycles.

Phase Shift In Circuits

Phase shift tells how far the wave moves along the horizontal axis. For the form A sin(Bx plus C) plus D, phase shift is negative C divided by B. A positive result shifts the graph right. A negative result shifts it left. In alternating current studies, this helps compare voltage and current timing.

Using The Numbers Safely

Always match the unit of C with the unit used inside the angle. Degrees and radians cannot be mixed without conversion. Also keep B nonzero. A zero B value removes cycling, so period and frequency become undefined. The vertical shift D moves the center line. It may represent a DC offset in measured signals.

Practical Electrical Use

This tool is useful for lab readings, power calculations, filters, oscillators, and signal timing checks. It turns an equation into readable values. You can compare phase lead, phase lag, cycle time, and RMS level. The sample points also help sketch the waveform. Export options make it easier to save results for homework, reports, or troubleshooting notes. Use clear labels when sharing these values with teammates or instructors during reviews.

FAQs

What is amplitude in a sinusoidal waveform?

Amplitude is the maximum distance from the center line to a peak. In the model y = A sin(Bx + C) + D, amplitude equals the absolute value of A.

How does this calculator find the period?

It divides one full cycle by the absolute value of B. For radians, it uses 2π / |B|. For degrees, it uses 360 / |B|.

What does phase shift mean?

Phase shift shows horizontal movement of the waveform. It is found with -C / B. A positive answer means a right shift. A negative answer means a left shift.

Can I use this for electrical voltage signals?

Yes. It works well for sinusoidal voltage and current equations. It also gives RMS, peak-to-peak value, frequency, and timing details used in electrical analysis.

Why can coefficient B not be zero?

When B equals zero, the waveform no longer cycles across x. That makes period and frequency undefined, so the calculator requires a nonzero B value.

What is vertical shift D?

D moves the whole waveform up or down. In electrical signals, it can represent a DC offset added to an alternating waveform.

Should I choose degrees or radians?

Choose the same unit used by coefficient C in your equation. Use radians for angular frequency work. Use degrees when the phase angle is written in degrees.

What do the sample points show?

The sample points show calculated x and y values across one cycle. They help you sketch the waveform or verify points for reports and assignments.