Final answer:
It is not possible to determine the current through an 8 ω resistor without additional details about the circuit configuration, such as the arrangement of the resistors and the values of any power sources.
Step-by-step explanation:
Without additional details or a circuit diagram, it is impossible to accurately determine which of the given current values is correct for the 8 ω resistor right after the switch is closed. In order to find the current through the 8 ω resistors, we would need to consider the entire circuit configuration - including the placements of the resistors, power sources, and switch - and apply relevant principles such as Ohm's Law (V = IR) and Kirchhoff's circuit laws. The given currents for various resistors do not seem to correspond directly to the initial query about the 8 ω resistor, thus making this problem unsolvable with the given information.
If this were a real-world situation, using Kirchhoff's Laws, one could set up equations based on the arrangement of resistors and power source(s) to solve for the current through each resistor when the switch is closed. If the resistors are in series or parallel configurations, applicable formulas for series and parallel circuits would be used to find the equivalent resistance and subsequently the current through the 8 ω resistor. If inductors or capacitors are involved, we would need to consider the transient behaviour of these elements as well.