Question

an infinitely long line of charge has a linear charge density of 5.50×10−12 c/m . a proton is at distance 16.0 cm from the line and is moving directly toward the line with speed 1900 m/s .

Answer 1

The magnitude of the electric field created by the infinitely long line of charge on the proton is 3.09 x 10^6 N/C.

Step-by-step explanation:

To calculate the electric field created by the infinitely long line of charge on the proton, we can use Coulomb's Law. Coulomb's Law states that the magnitude of the electric field at a point due to a line of charge is given by:

E = (kλ) / r

Where E is the electric field, k is the Coulomb constant (9.0 x 10^9 Nm^2/C^2), λ is the linear charge density (5.50 x 10^-12 C/m), and r is the distance from the line of charge to the point where the electric field is being measured (16.0 cm = 0.16 m).

Plugging in the values, we get:

E = (9.0 x 10^9 Nm^2/C^2)(5.50 x 10^-12 C/m) / 0.16 m = 3.09 x 10^6 N/C

Therefore, the magnitude of the electric field created by the line of charge on the proton is 3.09 x 10^6 N/C.