An electric field $\overrightarrow{E}=Ax\widehat{i}$ exists in the space, where A =10 V/m². Consider the potential at (10 m, 20 m) to be zero. The potential (in V) at the origin is ______

Figure shows the situation described in question. Here BC is the equipotential line so we can use

$V_C=V_B=0$

If V₀ be the potential at the origin, we can use

$\begin{array}{l}{V}_0-V_B={\int }_A^B Edx={\int }_0^{10} Axdx\\ \Rightarrow V_0-0=A{\left|\frac{x^2}{2}\right|}_0^{10}=10\times \frac{{10}^2}{2}=500\mathrm{V}\end{array}$