We have an initially uncharged hollow metallic sphere with radius of 5.0 cm.I place a small object with a charge of +26 µC at the center of the sphere through a hole in the surface.Find the electric field present at a point 10 cm from the sphere's center.(k_e = 8.99 × 10⁹ N⋅m²/C²)

Question

Quizplus · Accepted Answer

To find the electric field at a point outside the sphere, we can use the formula for the electric field of a point charge:

E = k * q / r^2

Where k is the Coulomb constant, q is the charge on the small object, and r is the distance between the small object and the point where we want to find the electric field.

In this case, the distance from the center of the sphere to the point 10 cm away is 15 cm (since the radius of the sphere is 5 cm and the small object is at the center). The charge q is given as +26 µC. Plugging in these values, we get:

E = (8.99 × 10^9 N⋅m^2/C^2) * (26 × 10^-6 C) / (0.15 m)^2
E ≈ 23.44 × 10^6 N/C

Converting to scientific notation, we get:

E ≈ 23.4 × 10^6 N/C

Therefore, the best choice is C.

We Have an Initially Uncharged Hollow Metallic Sphere with Radius