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Q.

Figure shows a cylindrical conductor of length l  and area of cross section A. Its conductivity changes with distance (x) from one of its end as σ=σ0lx ( σ0  is a constant). A cell of emf V is connected across its ends. The electric field as a function of x is
 

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a

2Vxl2

b

Vx2l2

c

Vxl2

d

4Vxl2

answer is C.

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Figure shows a cylindrical conductor of length l  and area of cross section A. Its conductivity changes with distance (x) from one of its end as σ=σ0lx ( σ0  is a constant). A cell of emf V is connected across its ends. The electric field as a function of x is