Question

An electric field is given by $\vec{E}=E_{0} \hat{\jmath},$ where $E_{0}$ is a constant. Find the potential as a function of position, taking $V=0$ at $y=0$

Name: An electric field is given by E⃗=E0, where E0 is a constant. Find the potential as a function of position, taking V=0 at y=0
Uploaded: 2021-12-03T20:46:28-08:00
Duration: 1 min 28 s
Channel: Pritesh Ranjan
Description: An electric field is given by E⃗=E0, where E0 is a constant. Find the potential as a function of position, taking V=0 at y=0

          An electric field is given by $\vec{E}=E_{0} \hat{\jmath},$ where $E_{0}$ is a constant. Find the potential as a function of position, taking $V=0$ at $y=0$

Added by Vicente B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

12/03/2021

Step 1

The electric field is the negative gradient of the electric potential, which can be written as: $\vec{E} = -\nabla V$ In this case, the electric field is only in the y-direction, so we only need to consider the y-component of the gradient. Show more…

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An electric field is given by $\vec{E}=E_{0} \hat{\jmath},$ where $E_{0}$ is a constant. Find the potential as a function of position, taking $V=0$ at $y=0$