c) Write down an expression for the resistance of a metal conductor in terms of its temperature and define the terms in the expression. A coil of wire has resistance 6.00 at 60°C and 5.25 2 at 15°C. Calculate: i) Temperature coefficient of resistance of the wire. ii) The resistance of the wire at 0°C.
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- 2.The figure below shows cross sections through three long conductors of the same length and material, with circular cross-sections of edge as shown. Conductor B(outer radius 2R) will fit snugly within conductor A(outer radius 3R, and conductor C (radius R) will fit snugly within conductor B. Rank the three conductors according to their end-to-end resistance. A B с Oc) Determine UAB- d) Deduce R1- e) Name an instrument used to directly measure the resistance of a resistor. Re 25. An electric circuit is composed of six resistors connected across a battery, as shown in the adjacent figure. Given: UAG 10v, UEF 5 V. UDE =-1 V, 12 0.7 A and I4= 1.2 A. a) Calculate the current I1. 5) Calculate the potential differences: UAE and UAD- The resistances of the eircuit have the following values: R, =10.R, = 60 R2 =R-50, R, 10 Q and R1 R2 %3D 10V D %3D R3 Rs !! 80 i. Determine the equivalent resistance of the six resistors between A and G. ii. Deduce the current I. fii. Determine URG Deduce the current I3. Of Verify the junction rule at the junction B. Sh 5:11 PM Lic jusMaterial= IRON Resistivity=10x108 a) Calculate the conductivity of your material. Compare the conductivity of ww wn w your material with conductivity of glass having a resistivity of 3.0 x 1010 Q.m. b) Suppose that you have a cylinder that is made of your material with a length of I=20.0 cm and a crosssectional area of A=4.00x10-4 m2. Calculate the resistance, R, of the cylinder. c) A 9.0-V battery is connected to the cylinder that is made of your material in part-b. Using Ohm's law calculate the current passing through the material. (V=I*RI=?) d) Suppose that the cylinder in part-b is cut into four equal pieces. Calculate the resistance of one piece of cylinder (which has a length of one fourth of the original length I) and compare your result with the original cylinder with length I.
- a)(QUESTION 2) Determine the length (in mm) of a gold conductor that has a resistance of 0.018 Ω and a cross-sectional area of 3.4 x 10-9 m2. The resistivity of gold is 2.2 x 10-8 Ω-m b) An aluminum conductor with the same length and area as in Question 2 above would have a higher resistance than the gold conductor. The resistivity of aluminum is 2.6 x 10-8 Ω-m. True or False?a. What diameter of copper wire [p = 2.65 x 10^-8 ohm.m) should be used so that a 22.0 m length will have a resistance of 0.39 ohm? b. Find the temperature coefficient of resistivity for this wire if an increase in temperance of 120 degree C changes the resistance from 0.39 ohm to 0.62 ohm.Material= Lead Resistivity (Ω.m) = 22 x 10- 8 a) Calculate the conductivity of your material. Compare the conductivity of your material with conductivity of glass having a resistivity of 3.0 x 1010 Ω.m. b) Suppose that you have a cylinder that is made of your material with a length of l=20.0 cm and a crosssectional area of A=4.00x10-4 m2 . Calculate the resistance, R, of the cylinder. c) A 9.0-V battery is connected to the cylinder that is made of your material in part-b. Using Ohm’s law calculate the current passing through the material. (V=I*R I=?) d) Suppose that the cylinder in part-b is cut into four equal pieces. Calculate the resistance of one piece of cylinder (which has a length of one fourth of the original length l) and compare your result with the original cylinder with length l.
- A 2.0 cm long tungsten filament in a florescent light bulb has a radius of 0.3 mm. Assume constant 20 degree Celsius temperature during operation of the light bulb. 1 Calculate the cross-sectional area of the filament. 2Calculate the resistance of the wire.A cylindrical conductor has resistance of R0 = 120 Ω. It has length L, radius of the cross section r, and resistivity ρ. Part (a) Express the resistance in terms of L, r, ρ. R0 = P L/π r2 This equation is incorrect Part (b) If the resistivity increases by a factor of 5, what would the value of the new resistance be, in ohms? Rρ =600 Part (c) If the resistivity was restored to its original value and instead the length of the conductor decreased by a factor of 5, what would the value of the new resistance be, in ohms? Rl = Part (d) If the resistivity and length of the conductor were at their original values and the radius of the conductor increased by a factor of 4, what would be the value of the new resistance, in ohms? Rr =2. 1.70 mm cylindrical rod of diameter 0.550 cm is connected to a power supply that maintains a constant potential difference of 16.0 V across its ends, while an ammeter measures the current through it. You observe that at room temperature (20.0-C) the ammeter reads 18.8 A, while at 92.0°C it reads 17.2 A. You can ignore any thermal expansion of the rod. a) Find the resistivity for the material of the rod at 20.0.C. b) Find the temperature coefficient of resistivity at 20.0-C for the material of the rod. c) The ammeter should be parallel or series connected to the wire?
- A RTD made up of platinum has a resistance of 400 Ohms at temperature 510 °C. a) Find the value of initial resistance R0 if a =0.00386 b) Find the value of initial resistance RO if a =0.0386. a.Initial Resistance (RO) = %3D b..Initial Resistance R01 =What is the resistivity of an unknown material that is made into a 5.0 m long, 0.62 cm x 0.62 cm square profiled wire? It has a total resistance of 8.0 N. Express your answer in ohm-meters. Vα ΑΣφ p = N.mPart A What is the resistance of A 1.9-m-long gold wire that is 0.50 mm in diameter? Express your answer in ohms. Φαν| A Η Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B A 50-Cm-long piece of carbon with a 2.0 mm x 2.0 mm square cross section? Express your answer in ohms. Submit Request Answer