Solve the Problem $E$ , That Can Be Placed Across a Resistor Is Given

question 96

Multiple Choice

Solve the problem.
-The maximum number of volts, $E$ , that can be placed across a resistor is given by the formula $E = \sqrt { P R }$ , where $\mathrm { P }$ is the number of watts of power that the resistor can absorb and $\mathrm { R }$ is the resistance of the resistor in ohms. Solve this equation for $R$ . Use the result to determine the resistance of a resistor if $P$ is $\frac { 1 } { 2 }$ watts and $E$ is 12 volts.

• A) \(\mathrm { R } = \frac { \mathrm { E } ^ { 2 } } { \mathrm { P } } ; 288 \mathrm { ohms }\)
• B) \(\mathrm { R } = \frac { \mathrm { E } ^ { 2 } } { \mathrm { P } ^ { 2 } } ; 576 \mathrm { ohms }\)
• C) \(R = E ^ { 2 } P ; 288\) ohms
• D) \(\mathrm { R } = \mathrm { E } ^ { 2 } \mathrm { P } ^ { 2 } ; 576 \mathrm { ohms }\)

---

Definitions:

Negative Reinforcement

A behavioral principle where the removal of an unpleasant stimulus strengthens a desired behavior.

Punishment

A process where an undesired behavior is followed by a consequence, typically reducing the likelihood of that behavior occurring again.

Conditioned Association

The process by which two stimuli or events are linked together in the mind to produce a learned response.

Neutral

Not favoring any side in a dispute, contest, or situation; unbiased or impartial.