Final answer:
Using Ohm's Law, the resistance of the resistor is calculated to be approximately 2699.559472 ohms. The provided option closest to this calculated value is 2701.2 ohms, which is option B.
Step-by-step explanation:
To find the value of the resistor in ohms given a 12.3 volts reading on the voltmeter and a current of 4.556 milliamps, we can use Ohm's Law, which states that resistance (R) equals voltage (V) divided by current (I), or R = V / I. First, we need to convert the current from milliamps to amps by dividing by 1,000, which gives us I = 4.556 milliamps / 1,000 = 0.004556 amps.
Now using Ohm's Law:
R = V / I = 12.3 volts / 0.004556 amps = 2699.559472 ohms.
Comparing this result to the provided options, we see that the value that's closest to our calculated resistance is option B, 2701.2 ohms. Therefore, the correct answer is option B.