Question

A long copper rod with a resistivity of $1.72 \times 10^{-8} \Omega m$, and a circular cross-section is being used to carry current between two electrodes. The diameter of the cross-section is measured 10 times to have an average value of 1.1 cm, with a standard deviation of 0.045 cm. Part (a) The current through the rod is measured 10 times to have an average value of 95 A, with a standard deviation of 0.0045 A. What is the electric field, E, in (N/C) in the rod? Part (b) There are a number tools for determining the average values of the diameter from the measured values. Briefly, how would you do it? Part (c) There are a number tools for determining the standard deviation of the diameter from the measured values. Briefly, how would you do it? Part (d) What is the uncertainty in the value of the average diameter (in cm)? Part (e) What is the uncertainty in the value of the current (in A)? Part (f) What is the uncertainty in the value of the electric fields (in N/C)? Part (g) Compare the relative errors for the current ($\Delta I/I$), the diameter ($\Delta x/x$), and the electric field ($\Delta E/E$). Which measurement current or diameter should be improved to give the biggest reduction in the uncertainty of the electric field

          A long copper rod with a resistivity of $1.72 \times 10^{-8} \Omega m$, and a circular cross-section is being used to carry current between two electrodes. The diameter of the cross-section is measured 10 times to have an average value of 1.1 cm, with a standard deviation of 0.045 cm.

Part (a)
The current through the rod is measured 10 times to have an average value of 95 A, with a standard deviation of 0.0045 A. What is the electric field, E, in (N/C) in the rod?

Part (b)
There are a number tools for determining the average values of the diameter from the measured values. Briefly, how would you do it?

Part (c)
There are a number tools for determining the standard deviation of the diameter from the measured values. Briefly, how would you do it?

Part (d)
What is the uncertainty in the value of the average diameter (in cm)?

Part (e)
What is the uncertainty in the value of the current (in A)?

Part (f)
What is the uncertainty in the value of the electric fields (in N/C)?

Part (g)
Compare the relative errors for the current ($\Delta I/I$), the diameter ($\Delta x/x$), and the electric field ($\Delta E/E$). Which measurement current or diameter should be improved to give the biggest reduction in the uncertainty of the electric field

a long copper rod with a resistivity of 172 times 10 8 omega m and a circular cross section is being used to carry current between two electrodes the diameter of the cross section is measure 50884

Added by Diana P.

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