Talk:Circuit Theory/Phasor Arithmetic

maybe you can add proof on why you can do these things with phasors?


 * I will see what i can add tonight. -- 02:36, 13 December 2005 (UTC)

What good is the multiplication property?

 * $$(M_1 \angle \phi_1)\cdot (M_2 \angle \phi_2) \ \stackrel{\mathrm{?}}{=}\ (M_1 \cdot M_2) \angle {(\phi_1+\phi_2)} ?\,$$

Doesn't that imply:


 * $$M_1\cdot \cos(\omega t + \phi_1) \cdot M_2\cdot \cos(\omega t + \phi_2) \ \stackrel{\mathrm{?}}{=}\ M_1\cdot M_2\cdot \cos(\omega t + \phi_1+\phi_2) \,$$

which is not true.

--Otto K 23:09, 20 August 2007 (UTC)

RMS vs Peak
I stumbled over this equation:


 * $$\mathbb{C} = M \angle \phi = M \cos (t\omega + \phi)$$

As far as I understand this (I just started going through a power engineering text book), the right-hand side must be multiplied by $$\sqrt 2$$ for the formula to be correct:


 * $$\mathbb{C} = M \angle \phi = \sqrt 2 M \cos (t\omega + \phi)$$

This is because the right-hand side shows the instantaneous equation, where M is the maximal value, and on the left-hand side M is the rms (root mean square) value, which is obtained by dividing the maximal value by $$\sqrt 2$$. Could anyone comment on this?

Danielk (talk) 13:47, 11 February 2009 (UTC)

Would suggest adding the phasor definitions in Complex number and complex polar system.