If A1 = 200 units, R1 = 50 ohms, and A2 = 100 units, what is R2?

To find R2 given the values of A1, R1, and A2, we can apply the concept of the current division rule in electrical circuits. The relationship between these parameters suggests that we can use the formula for current division given by the ratio of the two arms of a circuit.

When you have two branches with different resistances but the same voltage across them, the current flowing through each branch can be determined using the formula:

I1/I2 = R2/R1, where I represents current in each respective branch.

Given A1 and A2 represent the currents flowing through the resistors R1 and R2 respectively, as A1 + A2 = Total Current, we can alternatively employ the power (or voltage) relationship through the resistances.

Here, with A1 = 200 units and A2 = 100 units, the total current would be A1 + A2 = 300 units. Therefore, we can find the equivalent resistance R2 using the concept of balancing the current based on the resistance value.

Using the formula:

A1/R1 = A2/R2.

Calculating R2 leads us to:

R2 = R1 * (A2/A1) = 50 oh