Question

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 equation
Image for When an electric current passes through two resistors with resistance r and s, connected in parallel, the comb
where R, r , and s are positive. Assume that s is constant.
Find dr/ DR
Is 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.)

Answer 1

Answer:

dr/dR= s/(s-r)

b) taking all values positive.. the answer is INCREASING

Step-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..