Question

The charge per unit length on a long, straight filament is 73 µC/m. Find the electric field 4.9 cm from the filament, where the distance is measured perpendicular to the length of the filament. The Coulomb constant is 8.98755 × 109 N · m2 /C 2.

1. 8987550.0
2. 26145600.0
3. 15179000.0
4. 15578400.0
5. 26779200.0
6. 11416600.0
7. 12444300.0
8. 24487800.0
9. 11531200.0
10. 9254510.0
Answer in units of N/C.

Answer 1

E=26779230N/C(option 5)

Step-by-step explanation:

Let Lamda be charge per lenght=73*10^-6c/m

Distance r=4.9cm =0.049m

Coulomb constant k=8.98755*10^9

But electric field is 2*k*lamda/r

E=(2*8.98755*10^9*73*10^-6)/0.049

E=26779230N/C