Q#5 wire 4.00 m long and 6.00 mm in diameter has a resistance of 15.0 mΩ. A potential difference of 23.0 V is applied between the ends. (a) What is the current in the wire? (b) What is the magnitude of the current density? (c) Calculate the resistivity of the wire material.
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Q#5 wire 4.00 m long and 6.00 mm in diameter has a resistance of 15.0 mΩ. A potential difference of 23.0
V is applied between the ends. (a) What is the current in the wire? (b) What is the magnitude of the
current density? (c) Calculate the resistivity of the wire material.

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- Part A:If there is an annealed copper wire with resistivity 0.172 nano ohm meters and a diameter of 2mm placed in an electric field of 16,000N/C, then how much current will go through the wire? Part BIf this wire (the same as in part A) has an electron density of 8.5x10^28 m^-3 then what is the drift velocity of the electrons in this wire? The charge of each electron is, as usual, 1.602x10^-19C.There is a potential difference of 0.90 V between the ends of a 20 cm long graphite rod that has a cross-sectional area of 1.8 mm2. The resistivity of graphite is 7.5 x 10-6 2-m. (a) Find the resistance of the rod. (b) Find the current. (c) Find the electric field inside the rod.Aluminum and copper wires of equal length are found to have the same resistance. What is the ratio of their radii? Note: You need to use the concept of resistivity and find the resistivity of these two materials to solve this problem. You can find a table of resistivity in your textbook or use the internet.
- 2. Page > of 3 5. Two long coaxial metal cylinders with radii a and b are separated by material of conductivity o (see figure below). The conductivity is not uniform and changes as = (s)0 where k is a constant. If the two cylinders are kept at a potential difference V, find the resistance R between the cylinders. (s)o Hint: Since the conductivity is a function of position, the charge density in the resistive medium is not zero and E does not go like 1/s. However, since the current I is steady, the same current flows across each eylindrical surface. Instead of using Gauss' Law, find E in terms of I, from Ohm's Law. acer F10 F11(a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.23 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Material Silver A Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome a Carbon Germanium Silicon Glass Hard rubber Sulfur Quartz (fused) Resistivity (2. m) 1.59 x 107 1.7 x 10-8 2.44 x 10-8 2.82 x 10 5.6 x 107 10.0 x 10 11 x 10 -8 -8 0.46 -8 640 22 x 10-8 3.5 x 107 -8 -8 150 x 10- -8 -5 1010-1014 ≈1013 1015 75 x 1016 Temperature Coefficient of Resistivity [(°C)-¹] 3.8 x 10 -3 3.9 × 10-3 3.4 x 10-3 3.9 x 107 5.0 x 10 4.5 x 10-3 3.92 x 10 -3 -3 0.4 x 107 -3 3.9 × 10-3 -3 -3 -0.5 x 107 -48 x 10-3 -75 x 10-3 aA nickel-chromium alloy commonly used in heating elements. (b) If the wire is heated to 40.0°C while the 7.0-V potential difference is maintained, what is the resulting…A particular wire has a resistivity of 3.3 x 10-8 · m and a cross-sectional area of 3.7 x 10-6 m². A length of this wire is to be used as a resistor that will develop 51 W of power when connected across a 20-V battery. What length of wire is required? km
- QUESTION 1 Consider a carbon rod resistor that has a uniform cross-sectional area of 5.00 mm-. When a potential difference of 3.5 V is applied across the ends of the rod, the rod carries a current of 0.40 A. Find the rod's length (in cm) if its resistivity is p=3.5 x 10 5 Q. m.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 tungsten wire has a radius of 0.085 mm and is heated from 20.0 to 1344 °C. The temperature coefficient of resistivity is a = 4.5 x 10 3 (C°) 1. When 100 V is applied across the ends of the hot wire, a current of 1.3 A is produced. How long is the wire? Neglect any effects due to thermal expansion of the wire. Number Units