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The Iceberg Kid, infamous for imposing a deep freeze on whoever disagrees with h

ID: 2066268 • Letter: T

Question

The Iceberg Kid, infamous for imposing a deep freeze on whoever disagrees with him, discovers that in his advanced teenaged years his hands constantly feel chilled. As he is a cool physics student, the Iceberg Kid quickly calculates the resistance of the resistor needed to warm his hands. Given that 199 J of thermal energy is generated by the resistor during 7.93 s of operation while connected to a 12.0-V battery, find the correct value of this resistance (and avoid a cold, cold fate).

= ______________

Explanation / Answer

The energy dissipated by a resistor (of resistance R) connected across a potential difference of V volts for t seconds = V2t/R

199 = 122 x 7.93 / R --> R = 122 x 7.93 / 199 = 5.74 ohms

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