Question

Part of a circuit has two resistors connected in parallel as shown in the figure. R1 is a constant resistor of 10 ohm, while R2 is a variable resistor with resistance that varies at a rate of 2 ohms per minute. The total, or effective, resistance, R, provided by this circuit is given by:

1/R= 1/R1+1/R2


At what rate does the effective resistance change when R2 is 100 ohms? Round off your answer to four decimal places.

Answer 1

164.6723

Explanation:

i could be wrong and i apologize if i am. i am new to this topic:)

Answer 2

0.0165

Explanation:

R = R1 R2/(R1+R2)

R1 is constant

dR = R1 [(R1+R2) dR2- R2 dR2]/ (R1+R2)^2

dR/dt = R1 dR2/dt [R1]/(R1+R2)^2

dR/dt = 100(2) /(110)^2