In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?1/R = 1/R1 + 1/R2 for R1

Algebraic manipulation involves rearranging equations to isolate a specific variable. This process includes operations such as adding, subtracting, multiplying, or dividing both sides of the equation by the same value. In this case, solving for R1 requires moving terms around to express R1 in terms of R and R2.

The formula 1/R = 1/R1 + 1/R2 describes the relationship between resistances in a parallel circuit, where the total resistance (R) is the reciprocal of the sum of the reciprocals of individual resistances (R1 and R2). Understanding reciprocals is crucial, as it helps in visualizing how combining resistances affects the overall circuit behavior.

Circuit theory is the study of how electrical components interact within a circuit. The formula provided is a fundamental concept in electrical engineering, specifically for parallel circuits, where the total resistance is less than the smallest individual resistance. Recognizing this formula helps in understanding how electrical systems function and how to calculate total resistance effectively.