Final answer:
The magnitude of the electric field of an infinitely long line charge with a linear charge density of 62 C/m at a distance of 25 cm away is 223.2 N/C.
Step-by-step explanation:
The magnitude of the electric field of an infinitely long line charge can be calculated using the formula:
E = k * lamda / r
Where E is the electric field, k is the Coulomb's constant (9 x 10^9 Nm^2/C^2), lamda is the linear charge density, and r is the distance from the line charge.
Plugging in the values, we have:
E = (9 x 10^9 Nm^2/C^2) * (62 C/m) / (0.25 m)
Simplifying the equation gives:
E = 223.2 N/C
Therefore, the magnitude of the electric field of the infinitely long line charge at a distance of 25 cm away is 223.2 N/C.