Q:

When an electric current passes through two resistors with resistance r and s, connected in parallel, the combined resistance, R, can be calculated from the equationImage for When an electric current passes through two resistors with resistance r and s, connected in parallel, the combwhere R, r , and s are positive. Assume that s is constant.Find dr/ DRIs R and increasing or decreasing function of r?(Enter increasing, decreasing, neither, or both (write both if there are values of r for which R is increasing, and other values for which it is decreasing; enter neither if this is a constant function.)

Accepted Solution

A:
Answer:dr/dR= s/(s-r)b) taking all values positive.. the answer is INCREASINGStep-by-step explanation:a) R= r*s/(s+r)...making r subject of formulae ... r = R*s/(s-r)diff of (r) wrt R= s/(s-r)...b) from the eqt R=r*s/(s-r)and increase in r would always lead to an increase in R.. due to the multiplication power of the numerator. also with the condition that all values are positive..