# AC circuit with resistor

#### logearav

Joined Aug 19, 2011
243
Revered members,
Please see my attachment, which is an AC circuit with resistor. In such circuit the applied voltage is in phase with current. My doubt is
1) In Vector diagram, why the amplitude of voltage is greater than current?
2) Similarly in phasor diagram, the length of Voltage is greater than the length of current. Why?

#### t_n_k

Joined Mar 6, 2009
5,455
It's simply an arbitrary assignment by the author. Comparing the relative voltage and current magnitudes is meaningless. One can only compare 'like with like' in matters of physical quantities - voltage with voltage and current with current.

If the author had shown the scale of the current to be greater than the voltage you would have been asking virtually the same question.

• logearav

#### Maen

Joined Sep 16, 2011
12
1 ) You have to conssider ohm's law : $$\vec{U} = \vec{Z} \cdot \vec{I}$$
so you have a factor $$\vec{Z} = R$$ between voltage and current. If $$R = 1 \Omega$$ then current and voltage would have the same amplitude.
2) Time diagram and phasor diagram basicaly display the same information. So they better display the same values • logearav

#### wmodavis

Joined Oct 23, 2010
739
V is a independant variable and I a dependant variable - i.e. as Maen says it is dependant on R. Change R and you can theoretically make the vector I be any length you want. How long do you want it to be?

• logearav

#### logearav

Joined Aug 19, 2011
243
Thank you all, for the replies. So, there is no harm if i draw Voltage and Current, with same length and also with same amplitude. Am i right?

#### Maen

Joined Sep 16, 2011
12
Actually current and voltage not beeing on the same scale (Ampers resp. Volts) you can display it however you want, just adapt your scales to fit . But it's not uncommon to represent the current smaller than the voltage since the current's numerical value is usually smaller. But not doing so is in no way incorrect.

• logearav