Question

Suppose you are given a circuit with a 24 volt peak sinusoidal supply, going through a 100 ohm resistor, and then a diode, charging a 12v battery. We are asked to calculate the fraction of the cycle during which the diode conducts ( and therefore charges the battery ). Part of this example denotes the conduction angle to be equal to 2(theta). When calculating the angle at which the input is greater than 12V we utilize arccos to find this. I'm having a hard time understanding why the conduction angle is 2(theta), and why we use arccos to determine these angles.

Can you explain why cosine is utilized to analyize the sinusoidal (does this terminology imply it is the trigonometric sine wave?) supply? Is this defined as such, or is there some comprehension to be had here?

Is there some understanding about why the conduction angle is 2(theta)? Is this a definition or is this unique to this problem?

Thanks

Answer 1