1. Jul 6, 2012

### amaresh92

greetings,

why all the angle in electrical is represented in radian instead in degree?

2. Jul 6, 2012

### Staff: Mentor

Radians are more natural is solving various electrical problems. Wikipedia has some discussion on its advantages.

3. Jul 6, 2012

### Staff: Mentor

Can you think of some reasons? What kind of equations do we typically use in EE?

4. Jul 6, 2012

### Staff: Mentor

It makes for simpler equations,
e.g., the arc length of a circle segment = r.θ

5. Jul 7, 2012

### amaresh92

equations normally involves both magnitude and phase.

6. Jul 7, 2012

### sophiecentaur

It seems quite arbitrary until you look into the basic principles of differentiation. You are looking to find the slope of a curve, a sine wave say, by making a small triangle and working out the lengths of the sides. Then you find the value as the triangle size approaches zero. The simple answer that d(Sin θ)/dθ = Cos θ relies on using radians to measure that angle.
"www.mash.dept.shef.ac.uk/Resources/sincosfirstprinciples.pdf" [Broken] presents it more or less as I remember being taught in medieval times by dear old Mr Worthington. Half way through, they make the point that the angle is in radians. If you don't measure the angle in radians, every time you differentiate or integrate a trig function, you get a bizarre constant, depending on which angle units you chose.
The inhabitants of Planet Zog, who use 413 zogdegrees in their circles will also be using radians and not zogdegrees for this reason.

Last edited by a moderator: May 6, 2017
7. Jul 7, 2012