(a) Suppose two resistors are connected in parallel with resistances Rị and R2 measured in Ohms (N). The totalresistance R is given by111RR1R2Suppose R1 is increasing at a rate of 1/4 2/s and R2 is increasing at a rate of 1/16 N/s. At what rate is R changingwhen R1 = 1/2 N and R2 = 1/4 N.(b) Car A is traveling North at a rate of 60 mi/hr, car B is traveling West at a rate of 45 mi/hr. The cars are onstraight roads approaching an intersection point. At what rate is the distance between the cars changing when Car Ais 3 miles from the intersection and Car B is 4 miles from the intersection.

When two resistors are connected in parallel, their equivalent resistance is given by; 1R=1R1+1R2…

(a) Suppose two resistors are connected in parallel with resistances R1 and R2 measured in Ohms (N). The total resistance R is given by 1 1 + R1 1 R2 Suppose R1 is increasing at a rate of 1/4 N/s and R2 is increasing at a rate of 1/16 N/s. At what rate is R changing R when R1 = 1/2 N and R2 =1/4 N.

(a) Suppose two resistors are connected in parallel with resistances R1 and R2 measured in Ohms (N). The total resistance R is given by 1 1 + R1 1 R2 Suppose R1 is increasing at a rate of 1/4 N/s and R2 is increasing at a rate of 1/16 N/s. At what rate is R changing R when R1 = 1/2 N and R2 =1/4 N.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter17: Current And Resistance

Section: Chapter Questions

Problem 10CQ: Power P0 = I0 V0 is delivered to a resistor of resistance R0. If the resistance is doubled (Rnew =...

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Concept explainers

Ohm's law

Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

Path of Least Resistance

In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.

Question

(a) Suppose two resistors are connected in parallel with resistances Rị and R2 measured in Ohms (N). The total
resistance R is given by
1
1
1
R
R1
R2
Suppose R1 is increasing at a rate of 1/4 2/s and R2 is increasing at a rate of 1/16 N/s. At what rate is R changing
when R1 = 1/2 N and R2 = 1/4 N.
(b) Car A is traveling North at a rate of 60 mi/hr, car B is traveling West at a rate of 45 mi/hr. The cars are on
straight roads approaching an intersection point. At what rate is the distance between the cars changing when Car A
is 3 miles from the intersection and Car B is 4 miles from the intersection.

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