The electrical resistance varies directly as the square of the voltage (VV) and inversely as the electric power (PP). If the voltage is 15 volts and the electric power is 5 watts, then the electrical resistance is 45 ohms. Express the electrical resistance as a function of voltage and electric power.

The electrical resistance varies directly as the square of the voltage (VV) and inversely as the electric power (PP). If the voltage is 15 volts and the electric power is 5 watts, then the electrical resistance is 45 ohms. Express the electrical resistance as a function of voltage and electric power.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...

See similar textbooks

Similar questions

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
The force needed to break a board varies inversely with its length. If Tom uses 20 pounds of pressure to break a 1 .5-foot long board, how many pounds of pressure would he need to use to break a 6 foot long board?
Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.
The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?
If y varies inversely with x and y=8 when x=2 find the equation that relates x and y.
The distance an object falls varies directly to the square of the time it falls. If an object falls 52.8 feet in 4 seconds, how far will it fall in 9 seconds?