Question

Whole questions 20 marks

Q.4 Here WX is 1m wire of uniform resistance, Y is a sliding contact Its position is adjusted until voltmeter V is equal to 0 a) Use loops WZYW and XYZX ) Find the equation for resistance of the PRT using Kirchhoff's laws.(in terms of I and 11 and explain the steps.) i) Find the value of the resistor (R) using Kirchhoff's laws. b)Here the resistor R is a 224 ohm resistor v is 0 when 11 is 0.44m and the length of platinum resistance thermometer is 9m and diameter is 8x10A-2 mm. Find the resistivity of the platinum resistance thermometer. 2 , PRT Z

Answer 1

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we know, potential across wx-wire is directly proportional to its length V_0 = k times l Rightarrow k = v_0/l a) KVl in wzyw i times R_PRT - k l_1 = 0 (1) KVL in zxyz, i times R - k(l - l_1) = 0 (11) (1)/(11), R_PRT/R = l_1/l - l_1 b) R = 224 Ohm, l_1 = 0.44 m, l = 9 m, D = 8 times 10^- 2 mm R_PRT = 0.44/(1 - 0.44) times 224 = 176 Ohm Now, R_PRT = rho L/(pi D^2/4) Rightarrow 176 = rho times 9 times 4/pi (8 times 10^- 2 times 10^- 3)^2 answer Rightarrow rho = 9.83 times 10^- 8 Ohm - m