In your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.190 and no change in resistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-to- end. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.13 mm. What are the lengths of the two segments of the resistor (in m)? Nichrome 0.586 carbon X Write an equation for the total resistance and then impose the fact that the changes in resistance due to temperature must have the same magnitude. m 0.01339 X Write an equation for the total resistance and then impose the fact that the changes in resistance due to temperature must have the same magnitude. m

In your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.190 and no change in resistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-to- end. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.13 mm. What are the lengths of the two segments of the resistor (in m)? Nichrome 0.586 carbon X Write an equation for the total resistance and then impose the fact that the changes in resistance due to temperature must have the same magnitude. m 0.01339 X Write an equation for the total resistance and then impose the fact that the changes in resistance due to temperature must have the same magnitude. m

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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In your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.190 Q and no change in resistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-to- end. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.13 mm. What are the lengths of the two segments of the resistor (in m)? Nichrome 0.000105 X Write an equation for the total resistance and then impose the fact that the changes in resistance due to temperature must have the same magnitude. m 0.000105 Write an equation for the total resistance and then impose the fact that the changes in resistance due to temperature must have the same magnitude. m carbon
In your new job at an engineering company, your supervisor asks you to fabricate a resistor that has a resistance of R = 0.190 and no change in resistance with temperature. She suggests making the resistor from lengths of cylindrical carbon and Nichrome wires of equal radius, placed end-to- end. She wants the combination to fit into a machine that allows for a radius of the resistor to be r = 1.13 mm. What are the lengths of the two segments of the resistor (in m)? Nichrome carbon E E m
A cylindrical silicon rod is 1.0 cm long and has a cross-sectional radius of 2.0 mm. What is the magnitude of the current passing through the rod when a voltage of 120 V acts on it? The resistivity of silicon is 2200 Ωm.
What is the resistance of a 90-cmcm-long piece of carbon with a 2.0 mmmm ×× 2.0 mmmm square cross section?
A nichrome rod of length LN = 78 cm is connected in series (end to end) to a carbon rod of length LC = 5 cm. Both rods have cross-sectional areas of A = 85 mm2. At T0 = 20° C the resistivity of nichrome is ρN = 1.50 × 10-6 Ω⋅m and the resistivity of carbon is ρC = 3.50 × 10-5 Ω⋅m. The temperature coefficient of nichrome is positive with a value αN = 0.4 × 10-3 °C-1. The temperature coefficient of carbon is negative with a value αC = -0.5 × 10-3 °C-1. The nonlinear dependence of the resistivity on temperature T can be written as ρ = ρ0eα(T-T0). A)Write an expression for the total resistance of the nichrome-carbon combination as a function of temperature in terms of quantities given in the introduction. Simplify your answer as much as possible. Answer to part A is r(t)= ( ( ρC LC )/A ) eαC ( T - T0 ) + ( ( ρN LN )/A ) eαN ( T - T0 ) B) Calculate the temperature in degrees Celsius for which the resistance of the carbon-nichrome combination will be a minimum. C) Calculate the…
A nichrome rod of length LN = 78 cm is connected in series (end to end) to a carbon rod of length LC = 5 cm. Both rods have cross-sectional areas of A = 85 mm2. At T0 = 20° C the restistivity of nichrome is ρN = 1.50 × 10-6 Ω⋅m and the resistivity of carbon is ρC = 3.50 × 10-5 Ω⋅m. The temperature coefficient of nichrome is positive with value αN = 0.4 × 10-3 °C-1. The temperature coefficient of carbon is negative with a value αC = -0.5 × 10-3 °C-1. The nonlinear dependence of the resistivity on temperature T can be written as ρ = ρ0eα(T-T0). A) Write an expression for the total resistance of the nichrome-carbon combination as a function of temperature in terms of quantities given in the introduction. Simplify your answer as much as possible. B) Calculate the temperature in degrees Celsius for which the resistance of the carbon-nichrome combination will be a minimum C) Calculate the value of the minimum resistance, in ohms.
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Kiting during a storm. The legend that Benjamin Franklin flew a kite as a storm approached is only a legend — he was neither stupid nor suicidal. Suppose a kite string of radius 2.10 mm extends directly upward by 0.802 km and is coated with a 0.520 mm layer of water having resistivity 155 Ω·m. If the potential difference between the two ends of the string is 176 MV, what is the current through the water layer? The danger is not this current but the chance that the string draws a lightning strike, which can have a current as large as 500 000 A (way beyond just being lethal).
An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.295 V/m imposed along its entire length. The temperature of the wire is 35.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in Ω · m) of aluminum at this temperature. ρ = Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Ω · m (b) What is the current density (in MA/m2) in the wire? J = MA/m2 (c) What is the total current (in mA) in the wire? I = mA (d) What is the drift speed of the conduction electrons? vd = µm/s (e) What potential difference must exist between the ends of a 1.50 m length of the wire to produce the stated electric field? ΔV = V
A material is inserted between a pair of concentric metallic cylinders of radii a and b where b > a as shown in the figure. The length of the cylinders is e and t >> b. Potential difference is applied between the inner and the outer surfaces, which results in an outward current in the radial direction. Resistivity of the material is given by p = por where py is a constant and r is the cylindrical radial coordinate. What is the resistance of the material? Current flow outer Front view Select oner Po In(b/a) In(1+ b/a) Po In(1+b/a) (b+a) 2n Po ( - a) 2nl
A heating element is made by maintaining a potential difference of 75.0 V across the length of a Nichrome wire that has a 2.60 x 10-6 m² cross section. Nichrome has a resistivity of 5.00 x 10-7 Q:m. If the element dissipates 5000 W, what is its length? Give your answer in cm.
A strip of doped silicon 260.0 um wide contains 8.80 x 10-2 conduction electrons per cubic meter and an insignificant number of holes. When the strip carries a current of 102 µA, the drift speed of the electrons is 59.6 cm/s. What is the thickness of the strip? Um