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Question

Current is flowing through a conductor of non-uniform cross-section. If A1>A2, then the relation between the drift velocity (V) and current at the two cross- sections respectively, will be


A
V1>V2 and i1>i2
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B
V1<V2 and i1=i2
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C
V1<V2 and i1<i2
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D
V1=V2 and i1=i2
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Solution

The correct option is B V1<V2 and i1=i2

Given: A1>A2

According to the conservation of charge principle, charge crossing through any cross-section per unit time will be equal.

i1=i2=i

Now current density, J=iA

Thus, J1=iA1 & J2=iA2

(A1>A2)

J1<J2

From the relation of drift speed,
Vd=Jne

VdJ

Hence, V1<V2

Hence, (B) is the correct answer.

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