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= P = A circuit is shaped like an equilateral triangle with side length L 75 cm. The wiring that is used has a radius of r = 0.40 mm and a resistivity of 1.1 × 10-6 m. The circuit contains an ideal battery, whose voltage has been ad- justed so that the circuit is dissipating energy at a rate of P = 25 W. The battery is small compared to the circuit's length, so that the total length of wiring can be approximated as the perimeter of the triangle. What is the average cur- rent density J in the wiring? For the representation, make sure to draw a circuit diagram as well as a cross-section of the wiring with the radius and the direction of current clearly indicated. For the limit check, investigate what happens to J as the wiring becomes extremely skinny (i.e., r → 0) while all other given quantities remain the same. Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) Asr 0, what limit does J approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

= P = A circuit is shaped like an equilateral triangle with side length L 75 cm. The wiring that is used has a radius of r = 0.40 mm and a resistivity of 1.1 × 10-6 m. The circuit contains an ideal battery, whose voltage has been ad- justed so that the circuit is dissipating energy at a rate of P = 25 W. The battery is small compared to the circuit's length, so that the total length of wiring can be approximated as the perimeter of the triangle. What is the average cur- rent density J in the wiring? For the representation, make sure to draw a circuit diagram as well as a cross-section of the wiring with the radius and the direction of current clearly indicated. For the limit check, investigate what happens to J as the wiring becomes extremely skinny (i.e., r → 0) while all other given quantities remain the same. Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) Asr 0, what limit does J approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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= P = A circuit is shaped like an equilateral triangle with side length L 75 cm. The wiring that is used has a radius of r = 0.40 mm and a resistivity of 1.1 × 10-6 m. The circuit contains an ideal battery, whose voltage has been ad- justed so that the circuit is dissipating energy at a rate of P = 25 W. The battery is small compared to the circuit's length, so that the total length of wiring can be approximated as the perimeter of the triangle. What is the average cur- rent density J in the wiring? For the representation, make sure to draw a circuit diagram as well as a cross-section of the wiring with the radius and the direction of current clearly indicated. For the limit check, investigate what happens to J as the wiring becomes extremely skinny (i.e., r → 0) while all other given quantities remain the same. Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) Asr 0, what limit does J approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
Transcribed Image Text:= P = A circuit is shaped like an equilateral triangle with side length L 75 cm. The wiring that is used has a radius of r = 0.40 mm and a resistivity of 1.1 × 10-6 m. The circuit contains an ideal battery, whose voltage has been ad- justed so that the circuit is dissipating energy at a rate of P = 25 W. The battery is small compared to the circuit's length, so that the total length of wiring can be approximated as the perimeter of the triangle. What is the average cur- rent density J in the wiring? For the representation, make sure to draw a circuit diagram as well as a cross-section of the wiring with the radius and the direction of current clearly indicated. For the limit check, investigate what happens to J as the wiring becomes extremely skinny (i.e., r → 0) while all other given quantities remain the same. Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) Asr 0, what limit does J approach? b) Why does the result make physical sense? Numerical Answer: (Obtain this by plugging numbers into your symbolic answer.)
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