What is sinusoidal alternating voltage and current?

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.

Why is current sinusoidal?

Keep in mind that the flow of current is determined by voltage. As the voltage changes, the flow reverses. The voltage produced changes through the rotational cycle as the angle between the fixed components and the rotating components changes, and is perfectly described by the sine wave.

Why sinusoidal voltage and current are selected all over the world?

The sinusoidal alternating quantities are voltage and current which varies according to the sine of angle θ. For the generation of electric power, all over the world the sinusoidal voltage and current are selected because of the following reasons are given below. They produce less disturbance in the electrical circuit.

What is a dc circuits?

A Direct Current circuit is a circuit that Electric Current flows through in one direction. DC is commonly found in many low-voltage applications, especially where these are powered by Battery. Most electronic circuits require a DC power supply.

Is sinusoidal alternating current?

The term AC or to give it its full description of Alternating Current, generally refers to a time-varying waveform with the most common of all being called a Sinusoid better known as a Sinusoidal Waveform. Sinusoidal waveforms are more generally called by their short description as Sine Waves.

Why are sinusoidal signals important?

One reason for the importance of sinusoids is that they are fundamental in physics. Many physical systems that resonate or oscillate produce quasi-sinusoidal motion. Another reason sinusoids are important is that they are eigenfunctions of linear systems (which we’ll say more about in §4.1. 4).

What is a sinusoidal current?

The current which changes its direction many times in a second is called a sinusoidal current. Sinusoidal current is generated by a A.C generator which produces alternating voltage. Value of the sinusoidal current at any instant is given by

What is the instantaneous voltage of a sinusoidal alternating current?

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.

How do you calculate the power of a sinusoidal voltage?

When a sinusoidal voltage is applied to a purely resistive circuit of resistance R, the voltage and current waveforms are in phase and I = V R (exactly as in d.c. circuit). V and I are r.m.s. values. For an a.c. resistive circuit, power P = V I = I 2 R = V 2 R watts (exactly as in a d.c. circuit).

What happens if the sinusoidal voltage function is negative?

The Sinusoidal Source. If ϕ is also positive, the sinusoidal voltage function shifts to the left, whereas if ϕ is negative, the voltage function shifts to the right. The phase angle, ωt and ϕ must carry the same units, because they are added together in the argument of the sinusoidal function.