Practice portal › Electric Potential and Capacitance › Electric Potential

For a uniform electric field ⃗E=E₀ ̂j, if the electric potential at y=0 is zero, then the value of the electric potential at y=+y will be ______.

Asked in GSEB Board March 2019 · Relation between field and potential

• (1) -yE₀
• (2) yE₀
• (3) y²E₀
• (4) -y²E₀

Step-by-step solution

Why the other options are wrong

• (2) Drops the minus sign in V=-∫⃗E·d⃗l. Potential falls in the direction the field points, so moving along +y, with the field, lowers it.
• (3) The field is uniform, so the potential changes linearly with distance; a y² would need a field that grows with y. The sign is wrong as well.
• (4) Right sign but wrong power: -∫₀^yE₀ dy=-E₀y, and y²E₀ would have units of V m, not volts.

Reading this solution needs no sign-in. You only sign in to practise against the clock and keep your progress.