Assume that the current in a circuit is in a steady state. Unless it is explicit

Question

Assume that the current in a circuit is in a steady state. Unless it is explicitly mentioned in the statement, assume that the quantities that describe the behavior of the circuit are constant. Give ALL possible correct answers for the charge Q (i.e., B, AC, BCD...).

A) Increasing the electric field in a wire segment increases the electron drift velocity
B) If a wire's cross-section doubles the electron drift velocity is halved
C) The electric field decreases in circuit segments that have higher electron mobility
D) Decreasing the voltage difference in a wire segment decreases the current through the segment
E) If a wire's cross-section doubles the amount of current is unchanged

Explanation / Answer

since mobility is assumed constant so as electric field inc. drift vel increases.(a)

since i=neAV so if i is constant V=i/neA so if A increases V decreases prop.(b)

if drift vel is constant then by mob=V/E so electric field decreases as mob increases,(c)

if resistence is constant by ohm law (d)

as wire cross section doubles res decreases 4 times so current increases so (e) is incorrect.

so answer is ABCD

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