A solid conducting sphere of 10 cm radius has a net charge of 20 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere? A)36 mV B)360 mV C)1.8 x 10³ V D)1.8 x 10⁴ V

Question

A solid conducting sphere of 10 cm radius has a net charge of 20 nC.If the potential at infinity is taken as zero,what is the potential at the center of the sphere? A)36 mV B)360 mV C)1.8 x 10³ V D)>1.8 x 10⁴ V

Quizplus · Accepted Answer

The potential at the center of the sphere can be found using the equation:

V = kQ/r

where k is the Coulomb constant, Q is the net charge on the sphere, and r is the radius of the sphere.

Substituting the given values, we have:

V = (9x10^9 Nm^2/C^2) x (20x10^-9 C) / (0.1 m)

V = 1.8 x 10^4 V

However, we need to convert this to millivolts to match the answer choices.

1 V = 1000 mV

So,

V = 1.8 x 10^4 V = 1.8 x 10^7 mV

Therefore, the potential at the center of the sphere is 1.8 x 10^7 mV, which is equivalent to 1.8 x 10^4 V or 18,000 V. The answer choice closest to this value is C, 1.8 x 10^1^3 V.

A Solid Conducting Sphere of 10 Cm Radius Has a Net