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A spherical shell with inner radius ra and outer radius rb is formed from a material of resistivity ρ. It carries current radially, with uniform density in all directions. Show that its resistance is
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Chapter 27 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
- Consider a resistor of resistivity 4.12 × 10-8 Ω • m. If an electric field of 19 V/m is applied across the resistor and the electron volume concetration in the conductor is 5.82 × 1028 per m3, determine the drift velocity, in mm/s, of the free electron constituting the current.arrow_forwardA typical wire for laboratory experiments is made of copper and has a radius 0.815 mm.Calculate the drift speed of electrons in such a wire carrying a current of 1 A, assuming one freeelectron per atom. (density of copper 8.93 g/cm3 and molar mass of copper 63.5 g/mol)arrow_forwardconsider a conducting wire made of copper. copper has a carrier density of 8.5x10^28 carriers/m^3 and an electrical resistivity of 1.7x10^-8 ohms*m and a charge of 1e/carrier. If a potential difference of 12V is applied between the ends of a copper wire that is 100m long and 1.0mm in diameter, how much current will flow?arrow_forward
- A cylindrical conducting wire which is 342.57cm long, 85.39mm thick and resistivity of 3.13Ω.m, (a) has the resistance of R = ? If current I = 12.9A is generated by flowing of 217 electrons/m3 via a conductor, Then the electrons through this conductor (b) have a density J = ?and (c) are drifting at a speed of VD = ?arrow_forwardA conductor of uniform radius 1.16 cm carries a current of 2.70 A produced by an electric field of 119 V/m. What is the resistivity of the material?arrow_forwardA material of resistivity 370,000 Ohms*m is shaped into a hollow cylindrical shell of length 3 cm, inner radius 0.51 cm and outer radius 1.02 cm. A potential difference is applied across the ends of the cylinder. Find the resistance of the cylinder.arrow_forward
- The quantity of charge (in C) that has passed through a certain surface area varies with time according to the equation: q = 20 t2 + 5 t + 6. Find the instantaneous current (in A) through the surface at t = 1 s.arrow_forwardConsider a wire of a circular cross-section with a radius of R = 3.00mm. The magnitude of the currentdensity is modeled as J=cr2=5.00106Am4r2 . Whatis the current through the inner section of the wire from the center to r = 0.5R?arrow_forwardA cylindrical conducting wire which is 342.57cm long, 85.39mm thick and resistivity of 3.13Ω.m, If current I = 12.9A is generated by flowing of 217 electrons/m3 via a conductor, Then the electrons through this conductor (b) have a density J =?arrow_forward
- A high-voltage transmission line with a diameter of 2.00 cm and a length of 200 km carries a steady currentof 1 000 A. If the conductor is copper wire with a freecharge density of 8.46 ×1028 electrons/m3, over whattime interval does one electron travel the full length of the line?arrow_forwardConsider following circuit with R1 = 62 Ω, R2 = 11 Ω, R3 = 62 / 10 Ω, R4 = 11/10 Ω and and ξ=11 V i. Cross sections through two long conductors of the same length and material, with square crosssections of edge lengths are shown below. Conductor Y fits snugly within conductor X, Rank theresistance of X and Y?arrow_forwardA conductor is 6.00 cm long. If the material has a conductivity of 2.00 x 10^-2 Ω•m, then what must its diameter be in centimeters in order to yield a resistance of 3.00 ohms? A. 2.652758334 centimeters B. 2.256758334 centimeters C. 2.726558334 centimeters D. 2.526758334 centimetersarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning