A conductor of length `l` has a non-uniform cross-section. The radius of cross-section varies linearly from `a` to `b`. The resistivity of the material is `rho`. Find the resistance of the conductc across its ends.

Answer

A, B

Explanation

Radius at distance x from end P
`r=a+((b-a)/l)x`

Resistance of element of thickness dx is
`dR=(rho(dx))/(pir^2) ("Using" R=(rhol)/A)`
`:. R=int_(X=0)^(X=l) dR`