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# Question 25 of 36

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SAT Subject Test

A single resistor is connected to a battery as shown above. The current is and the power dissipated as heat is . The circuit is changed by doubling the emf $\epsilon$ of the battery while is kept constant.

After the change, the power dissipated in is

No

No

No

The correct answer is . The power dissipated by a resistor is given by , where is the current in the resistor and is the voltage across it. When used in combination with Ohm’s law, the power can also be written as $P=\text{\hspace{0.17em}}{V}^{2}/\text{\hspace{0.17em}}R$, where is the resistance. If the emf is doubled while remains the same, is quadrupled.