A Charge Is Placed on a Spherical Conductor of Radius $\frac { V _ { 2 } } { V _ { 1 } } = \frac { q _ { 2 } } { q _ { 1 } }$

question 136

Multiple Choice

A charge is placed on a spherical conductor of radius r₁.This sphere is then connected to a distant sphere of radius r₂ (not equal to r₁) by a conducting wire.After the charges on the spheres are in equilibrium,

• A)the electric fields at the surfaces of the two spheres are equal.
• B)the amount of charge on each sphere is q/2.
• C)both spheres are at the same potential.
• D)the potentials are in the ratio \(\frac { V _ { 2 } } { V _ { 1 } } = \frac { q _ { 2 } } { q _ { 1 } }\) .
• E)the potentials are in the ratio \(\frac { V _ { 2 } } { V _ { 1 } } = \frac { r _ { 2 } } { r _ { 1 } }\) .

---

Definitions:

Power Curve

A graphical representation used in statistics to show the probability of rejecting the null hypothesis at various effect sizes.

Power of the Test

The probability that a statistical test will correctly reject a false null hypothesis, indicating the test's ability to detect an effect when there is one.

Confidence Interval Estimate

A range of values derived from sample statistics that is likely to contain the value of an unknown population parameter, with a certain level of confidence.

99%

Often refers to a confidence level in statistics, indicating that there is a 99% chance the results fall within a specified range.