The figure shows two connected wires that are made of the same material. The current entering…
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Question “The figure shows two connected wires that are made of the same material. The current entering…”
Answer
The drift speed is the solution to the problem.
Write down the relationship between current, drift velocity, electron charge, and area of cross-sectional area. The area of the cross-section of the wire is used to calculate the drift velocity. To calculate drift velocity, compare the areas.
The electron’s drift velocity through the wire is called,
here is the current. It is the number or electrons per atom and the area of the cross section.
The area of the cross section of the wire is
The area of the left wire’s cross section is
here is the diameter for the left wire.
Substitute
and
The cross-section of the left wire’s area is.
The area of the right wire’s cross section is
refers to the diameter of right wire.
Substitute HTMLMediaTag16 to
. The cross section of the right wire is.
The ratio of cross-sectional areas,
is.
The electron’s drift velocity through the left wire is called,
represents the current through the left wiring,
the number of electrons per an atom, and the electronic charge.
Because the wires are connected in series, the current flowing through them is the same. Because the wires are made from the same material, the number of electrons per an atom is the same for both wires. The electronic charge has a unique value.
The electron’s drift velocity through the left wire is called,
is:
Substitute HTMLMediaTag30 with HTMLMediaTag31. The drift velocity ratio.
The drift velocity for electrons in right wire is
Ans:
is the drift velocity for electrons in right wire.
Conclusion
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