A uniform electric field of magnitude $$325$$ $$V/m$$ is directed in the negative y direction in figure. The coordinates of point A are $$(-0.2$$ m, $$-0.3$$ $$m)$$ and those of point B are (0.4$$ m, $$0.5$$ $$m). Calculate the potential difference VB−VA (in$$ $$volts), along the path shown in the figure.

Question

A uniform electric field of magnitude $$325$$ $$V/m$$ is directed in the negative y direction in figure. The coordinates of point A are $$(-0.2$$ m, $$-0.3$$ $$m)$$ and those of point B are (0.4$$ m, $$0.5$$ $$m). Calculate the potential difference VB−VA (in$$ $$volts), along the path shown in the figure.

Infinity Learn · Accepted Answer

The potential difference between two points A and B in electric field as, $V_{B} - V_{A} = - \int_{A}^{B} \vec{E} \cdot \vec{d} r$

Here the electric field is constant, here we can write the potential difference between points A and B as

$V_{B} - V_{A} = - [E_{x} (x_{B} - x_{A}) + E_{y} (y_{B} - y_{A})]$

$= - [(- 325) {(0 .5) - (- 0 .3)} + 0] (E_{y} = 0)$

$= 325 \times 0 .8 = 260 V$

$\Rightarrow V_{B} - V_{A} = + 260 V$

Electrostatic potential

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A uniform electric field of magnitude 325 V/m is directed in the negative y direction in figure. The coordinates of point A are (-0.2 m, -0.3 m) and those of point B are (0.4 m, 0.5 m). Calculate the potential difference $V_{B} - V_{A}$ (in volts), along the path shown in the figure.

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Electrostatic potential

Remember concepts with our Masterclasses.

A uniform electric field of magnitude 325 V/m is directed in the negative y direction in figure. The coordinates of point A are (-0.2 m, -0.3 m) and those of point B are (0.4 m, 0.5 m). Calculate the potential difference VB−VA (in volts), along the path shown in the figure.

Ready to Test Your Skills?

free study material

A uniform electric field of magnitude 325 V/m is directed in the negative y direction in figure. The coordinates of point A are (-0.2 m, -0.3 m) and those of point B are (0.4 m, 0.5 m). Calculate the potential difference $V_{B} - V_{A}$ (in volts), along the path shown in the figure.