Effective Voltage and Current for Sinusoidal AM

In a sinusoidal amplitude modulated (AM) wave, the amplitude of the carrier wave is varied by the modulating signal, resulting in the formation of two sidebands at frequencies above and below the carrier frequency.

The effective voltage and current in a sinusoidal AM wave can be calculated using the concept of root-mean-square (RMS) values.

Effective Voltage and Current for Sinusoidal AM

The RMS voltage of the AM wave can be calculated as:

Vrms = (Vc^2 + Vm^2/2)^0.5

where Vc is the amplitude of the carrier wave, and Vm is the amplitude of the modulating signal.

The RMS current of the AM wave can be calculated as:

Irms = (Ic^2 + Im^2/2)^0.5

where Ic is the current corresponding to the carrier wave, and Im is the current corresponding to the modulating signal.

The effective voltage and current of the AM wave are important because they determine the power delivered to a load. The power delivered to a load by an AM wave can be calculated as:

P = Vrms^2 / R

where R is the load resistance.

The above equation shows that the power delivered by an AM wave depends on the effective voltage and the load resistance. In general, a higher percentage modulation results in a higher effective voltage and higher power delivered to the load, but it also increases the bandwidth of the signal, which can cause distortion or attenuation in the transmission.