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Q.

A current passes through a wire of non-uniform cross section. Which of the following quantities are independent of the cross-section?

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a

free-electron density

b

drift speed

c

current density

d

the charge crossing in a given time interval

answer is A, D.

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Detailed Solution

The current trough a conductor is independent of the area of cross-section. It will be same through out the length of the conductor. 

The charge crossing in a given time interval is nothing but current and it is independent of area of cross-section.

Current density and Drift speed are related with area of cross section and are inversely proportional to it. 

Free-electron density is again independent of the area. 

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