**Problem**A copper wire of radius \( a = 0.161 \, \text{mm} \) has an aluminum jacket of outer radius \( b = 0.224 \, \text{mm} \). There is a current \( i = 2.80 \, \text{A} \) in the composite wire. Take the resistivity for copper and aluminum to be \( 1.69 \times 10^{-8} \, \Omega \cdot \text{m} \) and \( 2.75 \times 10^{-8} \, \Omega \cdot \text{m} \), respectively. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference \( V = 17.3 \, \text{V} \) between the ends maintains the current, what is the length in meters of the composite wire?**Answer Entry Boxes**(a) Number [info icon] ____ Units [dropdown](b) Number [info icon] ____ Units [dropdown](c) Number [info icon] ____ Units [dropdown]

Data Given , Inner Radius of the wire ( a ) = 0.161 mm = 0.161 × 10-3 m Outer Radius of wire ( b )…

Answered: A copper wire of radius a = 0.161 mm…

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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The figure gives the electric potential V(x) along a copper wire carrying uniform current, from a point of higher potential V, = 8.00 µV at x = 0 to a point of zero potential at x, = 2.60 m. The wire has a radius of 2.10 mm, and copper has a resistivity of 1.69 x 10-8 0-m. What is the current in the wire? V. x (m) Number i Units (A) A
A current I =0.35 A flows through a cylindrical resistor made out of some unknown ceramic-like composite. The radius of the cylindrical body is 4.25 mm while the length is 1.65 cm. If the potential drop over the resistor is 7.54 V, what is the resistivity of the unknown ceramic material? (Answer in Ohm*m)
A copper wire of radius a = 0.240 mm has an aluminum jacket of outer radius b = 0.329 mm. There is a current i = 1.57 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10-8Ω·m and 2.75 × 10-8Ω·m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 13.1 V between the ends maintains the current, what is the length in meters of the composite wire?
An aluminum wire having a cross-sectional area equal to 3.10 x 10-6 m² carries a current of 6.00 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/s
An aluminum wire has a length of 1.50 m and a cross sectional area of 0.480 mm2. If the resistivity of aluminum is 2.82 ✕ 10−8 Ω · m and a potential difference of 0.900 V is maintained across its length, determine the current in the wire (in A).
A straight, cylindrical wire lying along the x axis has a length of 0.376 m and a diameter of 0.68 mm. It is made of a material described by Ohm's law with a resistivity of ρ = 4.86 ✕ 10−8Ω· m. Assume a potential of 4.143 V is maintained at the left end of the wire at x = 0. Also assume V = 0 at x = 0.376 m. Find the current density (in A/m2) in the wire. Use scientific/exponential notation to represent your answer to this problem. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed.
Part (a) I measure the resistance of this wire and find it to be R = 156 Q. What is the resistivity of the material the wire is made out of? p= Problem 7: A particular wire has a length of L = 2.7 m and a circular cross-sectional area of radius r= 1.69 mm. G= sin() cos cotan() asin()) acotan() atan() cosh() tanh() I= sin()) cos() cotan() asin() sinh() atan() acotan cosh() tanh() cotanh() Degrees O Radians B Degrees O Radians Part (b) What is the conductivity of this wire, in inverse Ohms per meter? 0 tan()) π ( acos() E ^^^L sinh() cotanh() g L P Y d h m r tan() π acos() E ^^^^ π E 1 Part (c) Give an expression for the current density in the wire if an electric field E is passing through it. Write this in terms of the resistivity and the other variables in the problem. J= n R ( ^^^ sin() cos() cotan() asin() atan() acotan() cosh() + + 7 8 9 4 5 6 1 2 3 0 END NO BACKSPACE DEL CLEAR Part (d) Calculate the current in the wire, in milliamperes, if the field strength is 5.28 V/m. - END NO…
A copper wire of cross-sectional area 1.30 mm2 has a current of 7.10 A flowing along its length. What is the drift speed of the conduction electrons? Assume 1.30 conduction electrons per copper atom. The mass density of copper is 9.00 g/cm3 and its molar mass is 64.0 g/mol.
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