.35 O In Fig. 26-30, current is set up through a truncated rightcircular cone of resistivity 731 n · m, left radius a = 2.00 mm, rightradius b = 2.30 mm, and length L = 1.94 cm. Assume that the cur-rent density is uniform across any cross section taken perpendicu-lar to the length. What is the resistance of the cone?

The current i enters the truncated cone at left end and leaves at the right end. Let this represent…

Answered: .35 O In Fig. 26-30, current is set up…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 68PQ

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033 In Fig. 26-29, current is set up through a truncated right circular cone of resistivity 731 N. m, left radius a = 2.00 mm, right radius b = 2.30 mm, and length L 1.94 cm. As- sume that the current density is uniform across any cross sec- tion taken perpendicular to the length. What is the resistance of the cone? SSM www %3! !! L- Fig. 26-29 Problem 33. a
Cheap resistors are fabricated by depositing a thinlayer of carbon onto a nonconducting cylindrical substrate. If such a cylinder has radius a and length d, determine the thickness of the film required for a resistance R ifa = 1 mm R = 33 kσ = 1ρ = 2.9 MS/md = 9 mmNeglect the end surfaces of the cylinder and assumethat the thickness is much smaller than the radius.
A conducting sphere is charged by an emf source E through a 1.00 MQ resistor. When the sphere is fully charged, it has 1 µC charge. The highest current during the charging was I mA. What is the radius of the sphere in meters?
Two conductors are made of the same material and have the same length. Con- ductor A is a solid wire of diameter 1.0 mm. Conductor B is a hollow tube of outside diameter 2.0 mm and inside diameter 1.0 mm. What is the resistance ratio RA/RB, mea- sured between their ends?
For problem 36 find the magnitude of the current through R1 in amps if the battery voltage E1 is 8.08 V and all other parameters in the problem are the same. (Answer in 5 sig. figs)
In a 100-m-long conductor of cylindrical cross-section (radius ro = 5 mm), the axial current density is J = î2 A/m². The conductivity is o= 5.8-107 S/m. Find a) the current flowing through the conductor, b) the voltage across the entire length of the conductor, c) the overall resistance of the conductor.
Ris the total resisteance of three resistors, connected in parallel, with resistances R1, R2, R3. then R1 R2 R3 If the resistances are measured in ohms as R1 = 45N, R2 = 40N, and R3 = 302, with a possible error of 0.4% in each case, estimate the maximum error in the calculated value of R. N. AR =
A cylindrical resistor of length a, circular cross-sectional area of radius a, and resistivity p=3.5×10 Q.m is connected to a battery of ɛ=9 V. Find the current density J (in 10° A/m-) through the resistor if a=2.00 cm.
The average bulk resistivity of the human body (apartfrom surface resistance of the skin) is about 5.0 Ω . m. The conductingpath between the hands can be represented approximately as a cylinder1.6 m long and 0.10 m in diameter. The skin resistance can be madenegligible by soaking the hands in salt water. (a) What is the resistancebetween the hands if the skin resistance is negligible? (b) What potentialdifference between the hands is needed for a lethal shock currentof 100 mA? (Note that your result shows that small potential differencesproduce dangerous currents when the skin is damp.) (c) With thecurrentin part (b), what power is dissipated in the body?
A wire of resistivity 2.8 x 10^-8 ohm. m and length 20-m must dissipate electrical energy at a rate less than 3.0-W when a 15-A current flows. Calculate the minimum cross-sectional area of the wire.
An electrical conductor designed to carry large currentshas a circular cross section 2.50 mm in diameter and is 14.0 m long.The resistance between its ends is 0.104 Ω. (a) What is the resistivityof the material? (b) If the electric-field magnitude in the conductor is1.28 V/m, what is the total current? (c) If the material has 8.5 * 10^28free electrons per cubic meter, find the average drift speed under theconditions of part (b).
The magnitude Jof the current density in a certain wire with a circular cross section of radius R = 2.28 mm is given by J = (3.18 × 10®)r2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.927R andr = R? Number Units

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