The following diagram represents an electrical circui containing two uniform resistance wires A and B connected to a single ideal cell. Both wires have same length, but thickness of wire B is twice that of wire A. The conducting wires connecting A and B to the ideal cell are resistanceless. The dependence of electric potential on position along the length of two wires is given in option.

Options

A.
B.
C.
D.

Answer

D

Explanation

The electric field in wire A or B is uniform. Hence potential V in wires shall be linear function of x.
At x=0 (i.e., at left end ) V=0.
`therefore V_(A)=m_(1)x` and `V_(B)=m_(2)x`
Since at right end i.e., at x=L potential of both wires is again same `therefore m_(1)=m_(2)`
Hence `V_(A)=V_(B)=mx`
where m is a positive constant.