Question

The potential difference between the two points at distances (r₁) and (r₂) from the axis of the cylinder is given by:

a) (Q/2πϵ₀ ⋅ lnleft(r₂/r₁right))
b) (Q/ϵ₀ ⋅ left(1/r₂ - 1/r₁right))
c) (Q/2πϵ₀ ⋅ left(1/r₂ - 1/r₁right))
d) (Q/ϵ₀ ⋅ lnleft(r₂/r₁right))

Answer 1

The potential difference between two points at distances r1 and r2 from the axis of the cylinder is given by option d) (Q/ϵ₀ ⋅ ln(r2/r1)). This formula is derived using the definition of potential difference in terms of electric field and applying it to the given cylindrical geometry. It assumes that the length of both conductors is much greater than a or b.

Step-by-step explanation:

The potential difference between two points at distances r₁ and r₂ from the axis of the cylinder is given by option d) (Q/ϵ₀ ⋅ ln(r₂/r₁)).

This formula is derived using the definition of potential difference in terms of electric field and applying it to the given cylindrical geometry.

It is important to note that this formula assumes that the length L of both conductors is much greater than a or b.