It's still zero!

Electricity and Magnetism Level 3

A circular wire loop of radius $R$ carries a total charge $q$ distributed uniformly over its length. A small length $x<<R$ of the wire is cut off. Find the electric field at the centre due to the remaining wire.

If the answer is in the form of $\dfrac { qx }{ \alpha { \pi }^{ \beta }{ \varepsilon }_{ 0 }{ R }^{ \delta } }$ , find $\alpha +\beta +\delta$ .

Assume the medium to be vacuum.

Clarification: ${ \varepsilon }_{ 0 }$ is the permittivity of free space.