Final answer:
To find the current through the other resistor connected in parallel, calculate the voltage across the known resistor using Ohm's law, then apply the same voltage to the unknown resistor and calculate the current using Ohm's law again.
Step-by-step explanation:
To determine the current in the other resistor when two resistors are connected in parallel, we can use Ohm's law and the concept of voltages being equal across parallel components. For two resistors R1 and R2 with values of 40.6Ω and 50.4Ω respectively, given that the current through R2 is 3.79 A, we can calculate the voltage across R2 using Ohm's law, V = IR. This gives us V = 3.79 A * 50.4Ω.
Because the resistors are connected in parallel, the voltage across R1 is the same as that across R2. Using Ohm's law again, the current through R1 can be found with I = V / R1. With V already known from the calculation for R2, we can find the current through R1 by dividing the voltage by the resistance value of R1, which is 40.6Ω.