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- When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.How does the resistance for copper and for silicon change with temperature? Why are the behaviors of these two materials different?Find the resistance (in the unit of Ohm) of a Nichrome rod of diameter d=10 mm and has a length L=7 m (resistivity of Nichrome, P= 1.8x 10 Q.m) a. 0.0003207 b. 2.572 10-8 c. 0.0001604 d. None e. 0.01266
- 3. Use the table of values in SSLM week6, p3. Calculate the resistance of copper wire, 100m length, 1.0mm diameter a. circular cross section (in Ohms). B. Having same resistance in (a), what would be the length of aluminum made, 1.0mm diameter-circular cross section (in m)? b. C. If the copper wire in (a) was replaced by steel material, having the samne length of 100m, what is diameter of a circular cross section wire (in m)?Not a graded question. It is a research hypothesis. 1. A copper ros is 3 m long and 4 mm in diameter. Compute its resistance if the resistivity of the materials is 1.76 × 10-8 ohms-m 2. A piece of number 10 aluminum wire has a diameter of 2.59 mm. How many meters of number 10 aluminum wire is needed to give a resistance of 1 ohms? Aluminum has p of 2.8 × 10-8 ohms-m 3. Compute the resistance of a 190-m wire made of silver having a cross-sectional area of 0.55mm2. Silver has a resistivity of 1.6 × 10-8 ohms-mA thermometer made of Platinum has a resistance of 50 at 20 C, what is the measured temperature (in units of C) when its resistance is 80.8 2. Assume the temperature coefficient of resistivity to be a= 3.92X10 3 c1 Select one: O A. 157.14 B. 647.34 O C. 177.14 O D. 412.24 OE. 115.54
- 1. A wire 300 m long has a resistance of 1.18 Ω and a cross-sectional area of 14 mm2. Of what material is the wire made? 2. A 50 m long wire with a cross-sectional area of 5.5 mm2 has a resistance of 31 Ω at 0 °C. Calculate the resistivity of the wire at 60 °C if the temperature coefficient of resistance at 0 °C is 0.0003 per °C.2. The resistance of a certain conductor , 300 mil diameter and 20 ft long is 200 x10^-3 N. Calculate its resistivity in micro-ohms (µ-2). 3. Determine the thermal coefficient of resistance of copper at 50°C, then use this value toA thermometer made of Platinum has a resistance of 50 2 at 20 C, what is the measured temperature (in units of C) when its resistance is 85.10. Assume the temperature coefficient of resistivity to be a= 3.92 x 103c1 Select one: A. 199.08 B. 434.18 C. 179.08 D. 669.28 E. 128.88
- 15 A thermometer made of Platinum has a resistance of 50 2 at 20 C, what is the measured temperature (in units of C) when its resistance is 87.5 N. Assume the temperature coefficient of resistivity to be a= 3.92×10C1 of 7 Select one: tion OA. 191.32 ОВ. 136.32 OC. 681.53 OD. 446.43 OE. 211.32Find the resistance(in the unit of Ohm) of a Nichrome rod of diameter d=1 mm and has a length L=5 m (resistivity of Nichrome, p = 1.8x 10-º0.m) a. 0.0001312 b. 0.02291 c. 0.107 d. None e. 0.01146A thermometer made of Platinum has a resistance of 50 2 at 20 C, what is the measured temperature (in units of C) when its resistance is 78.5 Q. Assume the temperature coefficient of resistivity to be a= 3.92×10-3 c-1 Select one: O A. 108.40 O B. 635.61 OC. 400.51 O D. 145.41 O E. 165.41