Determine the Constant of Variation for the Stated Condition $\frac { 1 } { 16 }$

question 285

Multiple Choice

Determine the constant of variation for the stated condition.
-For a resistor in a direct current circuit that does not vary its resistance, the power that a resistor must dissipate is directly proportional to the square of the voltage across the resistor. The resistor must dissipate $\frac { 1 } { 16 }$ watt of power when the voltage across the resistor is 7 volts. Find the power that the resistor must dissipate when the voltage across it is 14 volts.

• A) \(\frac { 1 } { 4 }\) watt
• B) \(\frac { 1 } { 8 } \mathrm { watt }\)
• C) \(\frac { 49 } { 16 }\) watts
• D) \(\frac { 7 } { 16 } \mathrm { watt }\)

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