# Resistance problem

1. Oct 10, 2004

### Physicsisfun2005

9 copper wires of length L and diameter d are connected in parallel to form a single composite conductor of resistance R. What must be the diameter of a single copper wire of length L if it is to the the same resistance?

obviously since copper is the only thing involved i know the resistivity is the same given the same distance

R=(resistivity)L/(Area)....i believe this formula may help me...not sure

2. Oct 11, 2004

### maverick280857

For parallel combination, $$\frac{1}{R_{eq}} = \sum \frac{1}{R_{i}}$$ where $$R_{i} = \rho \frac{L}{A}$$. Express A as a function of diameter.