Final answer:
Without additional context or information on the circuit configuration, it's not possible to accurately calculate the current through the 18 Ω resistor using Ohm's law. A complete circuit description is necessary to apply the correct methodology, whether for series or parallel connections.
Step-by-step explanation:
To determine the current flowing through the 18 Ω resistor, we must use Ohm's law, which states that the current (I) through a resistor is equal to the voltage (V) across the resistor divided by its resistance (R). However, the question does not provide enough context to accurately calculate this current. We would need to know the total voltage provided in the circuit and how the 18 Ω resistor is connected within that circuit (e.g., is it in series or parallel with other resistors?).
Assuming that the 18 Ω resistor is the only resistance in the circuit and there's a voltage source of 18 V, applying Ohm's law (I = V/R) would yield a current of 1 ampere (I = 18V / 18Ω = 1A). However, this is purely hypothetical without the complete circuit details.
If we were considering a different scenario where this resistor was part of a series or parallel circuit, the methodology to find the current would vary. For resistors in series, the current remains the same through all components, while for parallel circuits, the voltage across each resistor would be the same and the total current would be the sum of the individual currents through each parallel branch. Further information about the circuit configuration is needed to provide a precise answer.