How Do Resistors in Series and Parallel Affect Circuit Behavior?

[stonnn]

i really have no clue how to do these. they seem more conceptual. any hints would be welcome! thanks!

1. Prove that when n identical resistors of resistance R are connected in parallel the equivalent resistance is R/n.

2. A piece of copper wire of resistance R is cut into 3 equal parts. When these 3 parts are connected in parallel, what is the resistance of the combination?

3. Say you have a series and parallel circuit. Resistors 2 and 3 are parallel to each other. Resistor 1 is in series with them. When you increase the resistance of 3, what happens to current and voltage values?

Thanks!

 

[lanedance]

hi stonn
do you know the equations for combining resistance in parallel & series?