Current in the circuit $=\frac{11}{11}=1 A$
Potential across the wire $=$ current $\times$ resistance $=10 \mathrm{V}$
since, Potential gradient is equal to potential per meter
Potential Gradient $=\frac{10}{10}=1 V / m$
(Take $\left.g=10\,ms ^{-2}\right)$



