A cylindrical wire initially has resistance \(R\) and length \(\ell\). The wire is clamped in place at its midpoint, and the portion to the left of the clamp remains unchanged. The portion to the right of the clamp is stretched out to a length \(\ell\). Express the new resistance \(R^{\prime}\) of the wire in terms of \(R\). Assume the stretching is done uniformly and the wire remains cylindrical.