A uniformly charged conducting sphere of radius 1.3 m has a surface charge density of 70 μC m-2. What is the total electric flux leaving the surface of the sphere?
1.7 × 108 N m2 C-1
The total electric flux is given by Gauss’s law:
Φ = Q / ε0,
where total charge Q is:
Q = Surface charge density × Surface area of sphere.
Given surface charge density = 70 μC m-2 = 70 × 10-6 C m-2 and surface area A = 4π(1.3)2,
Q = (70 × 10-6) × (4π × 1.69) = 1.48 × 10-3 C.
Using ε0 = 8.85 × 10-12 C² N-1 m-2,
Φ = (1.48 × 10-3) / (8.85 × 10-12) ≈ 1.67 × 108 N m² C-1.
Thus, the correct answer is (c).
Important Questions from Electrostatic Potential and Capacitance
The waves used by artificial satellites for communication purposes are:
The shape of a wavefront when light emerges out of a convex lens after a parallel beam of light is incident on it:
A dielectric material placed in uniform electric field, which of the following option is NOT CORRECT:
A bulb and a capacitor are connected in series to an a.c. source. A dielectric slab is now introduced between the plates of the capacitor. The intensity of the bulb will be:
Eight identical spherical drops, each having a potential of 9V, are combined together to form a single large drop. The potential of this large drop will be:
