107k views
1 vote
The charge per unit length on a long, straight filament is -92.0 μC/m. Find the electric field 10.0 cm above the filament.

User RKh
by
4.8k points

1 Answer

4 votes

Answer:

E = 1.655 x 10⁷ N/C towards the filament

Step-by-step explanation:

Electric field due to a line charge is given by the expression

E =
[tex](\lambda)/(2\pi*\epsilon_0* r)[/tex]

where λ is linear charge density of line charge , r is distance of given point from line charge and ε₀ is a constant called permittivity and whose value is

8.85 x 10⁻¹².

Putting the given values in the equation given above

E =
(92*10^(-6))/(2*3.14*8.85*10^(-12)*10^(-1))

E = 1.655 x 10⁷ N/C

User Eytch
by
4.5k points