Posted by **ike** on Saturday, March 5, 2011 at 3:32pm.

10. A length L of wire has a charge density of C/m. What is the electric field at an axial distance r from the wire if L is 5 meters, is 5 x 10-8 C/m and r is 10 cm. Use Gauss’s Law to solve.

- not a radial distance r? -
**Damon**, Saturday, March 5, 2011 at 4:06pm
I suspect a typo here.

Yes, use Gauss's law if the length is great compared to the distance r

here L = 5 and r = 0.1

Area of cylinder around wire at distance r is 2 pi r L

integral of E coming out of surface = charge inside /eo

so

2 pi r L E = 5*10^-8 L /eo

so

E = 5*10^-8 /(2 pi eo) = 10*10^-8 /(4 pi eo)

= 10^-7 k

## Answer This Question

## Related Questions

- physics - 10. A 5 meter length of wire has a charge density of 3 x 10-3 C/m. ...
- physics - 10. A 5 meter length of wire has a charge density of 3 x 10-3 C/m. ...
- physics - a thin wire with linear charge density _ is surrounded by a conducting...
- physics - A wire of radius one meter is centered on the origin in the xy plane. ...
- Physics - An infinitely long line of charge has linear charge density ë. Find ...
- Physics - A thin straight wire 20 cm in length carries a charge of one ...
- college physics - A 4m long copper wire has a diameter of 2mm and carries a ...
- Physics - Electric charge flows through a wire, which naturally has a ...
- physics - Consider a long charged straight wire that lies fixed and a particle ...
- college physics - Consider a long charged straight wire that lies fixed and a ...

More Related Questions