A Conducting Sphere 45 Cm in Diameter Carries an Excess

question 24

Multiple Choice

A conducting sphere 45 cm in diameter carries an excess of charge, and no other charges are present. You measure the potential of the surface of this sphere and find it to be 14 kV relative to infinity. (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²) The excess charge on this sphere is closest to

• A) 0.35 nC.
• B) 79 nC.
• C) 315 nC.
• D) 350 nC.
• E) 700 nC.

---

Definitions:

Marginal Productivity

The additional output derived from the use of one more unit of a factor of production, holding all other factors constant.

Productive Farmland

Land that is capable of producing a high yield of crops due to its fertility, favorable climate, or efficient management.

Diminishing Returns

The principle that as an increasing amount of one factor of production is employed, holding all other factors constant, the additional output generated will eventually decrease.

Marginal Productivity

Marginal productivity refers to the extra output, income, or benefit derived from using an additional unit of a variable factor of production, holding all other inputs constant.