# Homework Help: Bundled conductors

1. Jul 6, 2007

Hi everyone!
I am new to this forum.
"What is the effect of bundling on decreasing the inductance of a transmission line?"
I will be very grateful for any help.

2. Jul 8, 2007

### wildman

Gee, that is an interesting question that I never thought of before. Could the capacitance between the wires in the bundle have an affect?

3. Jul 8, 2007

### Astronuc

Staff Emeritus
It's not capacitance since the conductors in the bundle have the same electric potential.

See slides 3-8 and 15 of this PowerPoint presentation
courses.ece.uiuc.edu/ece476/lectures/ECE4762005Lect5.ppt (use save target as)

For a bundled conductor of mean geometric radius Rb,

the inductance is given by $$\frac{\mu_0}{2\pi}\,ln(\frac{D}{R_b})$$,

and the inductance decreases as Rb increases. Compare this result with L for a single conductor.

There is more theory with the same notes on bundling in
courses.ece.uiuc.edu/ece476/lectures/ECE4762005Lect6.ppt

These course notes may be time limited, i.e. the links will be invalid at some point in the future.

4. Jul 9, 2007

### wildman

More questions

I see in the case of like a power line, but I thought it was a bundling of Insulated wires carrying different signals at high frequency. So the potentials in that case will not be the same. What happens then? Does capacitance make any difference in that case? Would inductance be reduced? Or is it only in the "power line" case where all the wires are at the same potential that we get reduced inductance?