The answer to this question is E. But I am confused as to why ii would be correc

Question

The answer to this question is E. But I am confused as to why ii would be correct. Since the proton would be moved from low voltage to high voltage, wouldn't the work done by the agent be negative? Please let me know where my thinking has gone wrong. Thanks!

5. A charged capacitor consists of two large flat plates, one with positive charge Q and the other with negative charge -Q. An external agent transfers an electron from the positive plate to the negative plate and also transfers a proton from the negative plate to the positive plate (There is a constant voltage difference V between the plates, and the transfer of a single electron or proton does not alter that voltage difference.) Consider the following statements, i) the work done by the agent to move the electron is positive ii) the work done by the agent to move the proton is positive ii) the magnitude of the work to transfer the proton is the same as the magnitude of the work to transfer the electron iv) the magnitude of the work done to transfer the electron is less than the magnitude of the work to transfer the proton Which of these statements are true? A) All are true D) Only ii and iv are true +electron proton B) None are true C) Only iii is true E) Only i, ii, and iii are true

Explanation / Answer

The potential difference is same, the charge is same so the work done by the electron and proton is same. The work done is positive in both cases. The negative charge and reduction in potential difference results to postiive work when electron moves in the direction opposite to the field. The work is positive as the proton move in the direction of the field.

only (i)(ii) & (iii) are correct.

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