The figure below shows two copper wires, each with length L, which are joined together by ideal wires (the black lines) and a voltage AV is applied across them as shown. The diameter of the larger wire is D, and the diameter of the smaller wire is D/2. The resistance of the larger piece of wire is R. a) In terms of R, what is the total resistance of the two wires? b) If the current through the larger wire is I, in terms of I what is the current in the smaller wire? c) Which piece of wire has the largest current density? d) If the carriers in the larger wire have a drift velocity v, , in terms of v, what is the drift velocity of the carriers in the smaller wire? D/2 e) If the magnitude of electric field in the larger wire is E, in terms of E what is the magnitude of electric field in the smaller wire? f) If the voltage drop across the larger wire is AVi, in terms of AVi what is the voltage drop across the smaller wire? AV

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
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The figure below shows two copper wires, each length L, which are joined together by idea wires....

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The figure below shows two copper wires, each with length L, which are joined together by ideal
wires (the black lines) and a voltage AV is applied across them as shown. The diameter of the
larger wire is D, and the diameter of the smaller wire is D/2. The resistance of the larger piece of
wire is R.
a) In terms of R, what is the total resistance of the two wires?
b) If the current through the larger wire is I, in terms of I what is the
current in the smaller wire?
c) Which piece of wire has the largest current density?
d) If the carriers in the larger wire have a drift velocity v, , in terms
of v, what is the drift velocity of the carriers in the smaller wire?
D/2
e) If the magnitude of electric field in the larger wire is E, in terms
of E what is the magnitude of electric field in the smaller wire?
f) If the voltage drop across the larger wire is AVi, in terms of AVi
what is the voltage drop across the smaller wire?
AV
Transcribed Image Text:The figure below shows two copper wires, each with length L, which are joined together by ideal wires (the black lines) and a voltage AV is applied across them as shown. The diameter of the larger wire is D, and the diameter of the smaller wire is D/2. The resistance of the larger piece of wire is R. a) In terms of R, what is the total resistance of the two wires? b) If the current through the larger wire is I, in terms of I what is the current in the smaller wire? c) Which piece of wire has the largest current density? d) If the carriers in the larger wire have a drift velocity v, , in terms of v, what is the drift velocity of the carriers in the smaller wire? D/2 e) If the magnitude of electric field in the larger wire is E, in terms of E what is the magnitude of electric field in the smaller wire? f) If the voltage drop across the larger wire is AVi, in terms of AVi what is the voltage drop across the smaller wire? AV
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