Two Tiny Metal Spheres Are Fixed to the Ends of a Non-Conducting

question 114

Multiple Choice

Two tiny metal spheres are fixed to the ends of a non-conducting string of length $\ell$ .Equal charges,+q,are placed on the metal spheres.Randall says that the force on the string has magnitude $\frac { 1 } { 2 \pi \varepsilon _ { 0 } } \frac { q ^ { 2 } } { \ell ^ { 2 } }$ .Tilden says that the tension in the string has magnitude $\frac { 1 } { 2 \pi \varepsilon _ { 0 } } \frac { q ^ { 2 } } { \ell ^ { 2 } }$ .Which one,if either,is correct?

• A)Randall,because both charges exert forces on the string,but the tension is \(\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { q ^ { 2 } } { \ell ^ { 2 } }\) .
• B)Tilden,because both charges exert forces on the string,but the net force is \(\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { q ^ { 2 } } { \ell ^ { 2 } }\) .
• C)Both are correct,because both charges exert forces on the string.
• D)Neither is correct,because both the tension and the force have magnitude \(\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { q ^ { 2 } } { \ell ^ { 2 } }\) .
• E)Neither is correct,because the tension is \(\frac { 1 } { 4 \pi \varepsilon _ { 0 } } \frac { q ^ { 2 } } { \ell ^ { 2 } }\) ,but the net force is 0.

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Definitions:

Creative Problem Solving

An approach to finding innovative solutions to complex problems through creativity, lateral thinking, and brainstorming.

Illumination

The process or result of making something visible or bright with light, or clarifying something by explaining it.

Brainstorming

A collaborative idea-generating activity aimed at finding a conclusion for a specific problem by gathering a list of ideas spontaneously contributed by its members.

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