Answer the following : Calculate the work done required to move an electron between two points A and B located at a potential difference of 100 V in an electric field.
Generated by claude-sonnet-4-6 · 2026-06-15 06:41 · grounding rag
Model Answer
Given:
Charge on electron, $q = 1.6 \times 10^{-19}$ C
Potential difference, $V = 100$ V
Work done to move a charge across a potential difference is:
$$W = qV$$
$$W = 1.6 \times 10^{-19} \text{ C} \times 100 \text{ V}$$
$$W = 1.6 \times 10^{-17} \text{ J}$$
The work done required to move the electron is $1.6 \times 10^{-17}$ J.
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Explanation
- The key formula here is $W = qV$, which comes from the definition of potential difference: $V = W/Q$.
- The charge on one electron is always $1.6 \times 10^{-19}$ C — this must be remembered.
- The sign of charge (negative) is ignored when calculating magnitude of work done; examiners expect the positive value here.
- This is a standard 1-mark numerical; show the formula, substitution, and answer with unit.