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Question:Match the following for the current distribution throughout the conductor cross section:

(i) For dc (a) uniform

(ii) For ac (b) nonuniform

Short Answer

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Answer

(i) The correct match for (i) is (b)non uniform

(ii) The correct match for (ii) is (a)uniform

Step by step solution

01

Explain ac resistance dc resistance 

The distribution of ac current is non uniform as it dependent n frequency,

The distribution of dc current is uniform throughout the conductor as it remains constant throughout the conduction.

02

Explanation for (i) 

(i)

With the increase in frequency, the current tends to achieve higher density on the outer surface of the solid conductor.

Whereas this process called skin effect lead to smaller current density at the inner conductor

Therefore correct option is (b)

03

Explanation for (ii)

(ii)

The DC resistance can be easily calculated by emf generated between the conductors (inner and outer) of a line, divided by current flowing through them.

Also, it is independent of the dimensions of the conductor.

Hence, it is uniform in nature.

Therefore correct option is (a).

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Most popular questions from this chapter

Rework Problem 4.20 if the bundled line has (a) three ACSR, 1351 kcmil conductors per phase or (b) three ACSR, 900 kcmil conductors per phase, without changing the bundle spacing or the phase spacings between bundle centers. Compare the results with those of Problem 4.20.

Three ACSR Drakeconductors are used for a three-phase overhead transmission line operating at. The conductor configuration is in the form of an isosceles triangle with sides of 20, 20, and 38 ft.

(a) Find the capacitance-to-neutral and capacitive reactance-to-neutral for eachlength of line.

(b) For a line length of 175 mileand a normal operating voltage of220 kV, determine the capacitive reactance-to-neutral for the entire line length as well as the charging current per mile and total three-phase reactive power supplied by the line capacitance.

(a) In practice, one deals with the capacitive reactance of the line in ohms-mi to neutral. Show that Eq. (4.9.15) of the text can be rewritten as

Xc=k'logDrohms-mi=x'd+x'a

Where x'd=k'logDis the capacitive reactance spacing factor

x'd=k'log1ris the capacitive reactance at 1-ft spacing

role="math" localid="1655202080897" k'=4.1×106/f=0.06833×106at f=60Hz

(b) Determine the capacitive reactance in Ωmifor a single-phase line of problem 4.14. if the spacing is doubled, how does the reactance change?

A60Hz, single-phase two-wire overhead line has solid cylindrical copper conductors with a1.5cmdiameter. The conductors are arranged in a horizontal configuration with0.5mspacing. Calculate inmHkm(a) the inductance of each conductor due to internal flux linkages only, (b) the inductance of each conductor due to both internal and external flux linkages, and (c) the total inductance of the line.

The affect of the earth plane is to slightly increase the capacitance, and as the line height increases, the effect of earth becomes negligible.

(a) True

(b) False

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