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The question has just stated clearly that the applied voltage is 12 volts DC.

Provided that the power supply is capable of maintaining its output voltage while supplying some current ... i.e. that the effective internal resistance of the power supply is small ... and that the 2.7 ohm resistor is the only external element connected to the power supply's output, the voltage across the resistor is exactly 12 volts DC.

The current through the resistor ... supplied by the 12 volt DC supply ... is 12/2.7 = 4.44 Amperes (rounded).

The power dissipated by the resistor ... supplied by the DC supply ... is 122 / 2.7 = 53.23 watts !

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Q: What is the result in voltage of applying a 2.7 ohm resistor to a 12 volt DC circuit?
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If the resistance in the circuit is increased what will happen to the current and voltage?

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If the resistance in the circuit is increased what will happen to the current and voltage?

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