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An experiment is conducted to measure the electrical resistivity of Nichrome in the form of wires with different lengths and cross-sectional areas. For one set of measurements, astudent uses 30-gauge wire , which has a cross-sectional area of The student measures the potential difference across the wire and the current in the wire with a voltmeter and an ammeter, respectively.

(a) For each of the measurements given in the following table taken on wires of three different lengths, calculate the resistance of the wires and the corresponding value of the resistivity.

(b) What is the average value of the resistivity?

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Anil Kumar G.
Anil Kumar G.Lv10
17 Jan 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A student wants to check the resistance of a resistor by measuring the voltage across it (V) and the resulting current through it (I) and then calculating the resistance R=V/I. He measures four different values of V and the corresponding currents I, as follows:

Voltage, V (volts): 11.2 13.4 15.1 17.7
Current, I (amps): 4.67 5.46 6.28 7.22

(a) Calculate the four corresponding values of R (which will come out in ohms). What is his best estimate for R, and what is the random component of its uncertainty (delta_Rrandom)?

(b)The resistor is rated at 2.50 ohms, which does not lie within the range R_best + or - deltaR_random, so he considers the possibility that the voltmeter and ammeter suffer some systematic error. The lab technician states that many of the meters in the lab have up to a 2 percent systematic error. Use error propagation to find the possible systematic error in R, and then combine the systematic and random errors to give the total uncertainty. (In both calculations, combine errors in quadrature.) What is his final answer and how does it compare with the given value?

<p>A student wants to check the resistance of a resistor by measuring the voltage across it (V) and the resulting current through it (I) and then calculating the resistance R=V/I. He measures four different values of V and the corresponding currents I, as follows:<br /><br />Voltage, V (volts): 11.2 13.4 15.1 17.7<br />Current, I (amps): 4.67 5.46 6.28 7.22<br /><br />A) Calculate the four corresponding values of R (which will come out in ohms). What is his best estimate for R, and what is the random component of its uncertainty (deltaRrandom)?<br /><br />B)The resistor is rated at 2.50 ohms, which does not lie within the range Rbest + or - deltaRrandom, so he considers the possibility that the voltmeter and ammeter suffer some systematic error. The lab technician states that many of the meters in the lab have up to a 2 percent systematic error. Use error propagation to find the possible systematic error in R, and then combine the systematic and random errors to give the total uncertainty. (In both calculations, combine errors in quadrature.) What is his final answer and how does it compare with the given value?</p>

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