Simple circuit problem - Intensity and Difference of electric potential

[Jalo]

Homework Statement

a) Is the current between the points A-B and C-D equal? Why?
b) Is the difference of potential between the points B-C and A-D equal? Why?

Also, a question of my own..
If I = V/R, then when we measure the intensity between A and B shouldn't it be infinite, or at least very great since we're dealing with good conductors, since there's little or no resistance there? Or does Ohm's law refers to the total resistance of the circuit?

Homework Equations

Ohm's law:

I = V/R

I -Intensity
V - Voltage
R - Resistance

The Attempt at a Solution

a) If I remember correctly the intensity of current is always constant, as long as we're dealing with a serial circuit. I don't know how to explain how tho...

b) Given Ohm's law, if I is a constant through out the circuit and R will vary depending on where you measure the voltage, then the voltage won't be constant. It will be greater at point B-C, since is is proportional to the resistance.

Thanks in advance.
Daniel.

 

[BigJDubs]

a) No, the current between the points A-B and C-D is not equal. This is because the current in a circuit follows Ohm's Law, which states that the current is proportional to the voltage divided by the resistance. Therefore, if the resistance between A-B and C-D is different, then the current will also be different. b) No, the difference of potential between the points B-C and A-D is not equal. This is because the potential difference is determined by the voltage across a given component or circuit. Since the resistances between B-C and A-D are different, the voltage across each component will also be different, resulting in a different potential difference between the two points. If I = V/R, then when we measure the intensity between A and B it will not be infinite or very great. This is because the resistance between A and B is not zero - it still has some resistance, which will result in a finite current. Ohm's law refers to the resistance of the entire circuit, not just the resistance between two points.