Final answer:
The resistance of R₂ can be determined by knowing the voltage across it and the current flowing through it and then applying Ohm's law. The equivalent resistance in the circuit takes into account the resistors in series and parallel.
Step-by-step explanation:
To determine the resistance of the resistor R₂, we must consider the configuration of the circuit in which it resides. The provided information indicates that R₂ and R3 are in parallel, and their combined resistance, which we will call Rp, is in series with R₁. To find the total resistance, denoted as Rtot, the resistance of R₂ and R3 in parallel must first be calculated, which is then added to R₁ to calculate the equivalent resistance of the series configuration.
The current I₂ through resistor R₂ can be calculated using Ohm's law if the voltage across R₂, V₂, and the magnitude of the current, I₂, are provided. With these values, the resistance of R₂ can be deduced as R₂ = V₂ / I₂. Additionally, if the power dissipated by R₂ is known, the resistance can also be calculated using the formula P₂ = I₂²R₂, where P2 represents the power.