Question

Four pairs of parallel plates are charged. An electron in each pair of plates is moved from the positive to the negative plate.

Answer 1

Ranking from least to greatest work done: Z, W, X, Y

Explanation:

The work done to move an electron between the two plates is given by

$W=e\Delta V$

where

$e$ is the charge of the electron

$\Delta V$ is the potential difference between the plates

The potential difference between the plates can be written as

$\Delta V = Ed$

where

E is the magnitude of the electric field

d is the distance between the plates

Therefore, the work done on the electron can be written as

$W=eEd$

So we can rank the plates by work done by simply comparing the $\Delta V$ between the plates for each case:

W: $\Delta V = Ed=(262)(0.026)=6.8 V$

X: $\Delta V = Ed=(256)(0.032)=8.2 V$

Y: $\Delta V = Ed=(152)(0.067)=10.2 V$

Z: $\Delta V=Ed=(103)(0.043)=4.4 V$

Therefore, the ranking from least to greatest work done is:

Z, W, X, Y

Learn more about electric fields:

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