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Example · Example 1

Q.State the three fundamental properties of electric charge -- additivity, conservation, and quantisation -- explaining each in one or two sentences with a suitable example.

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Additivity. If a body carries charges q1,q2,…q_1,q_2,\ldots at different points, its total charge is the plain algebraic (scalar) sum Q=q1+q2+⋯Q=q_1+q_2+\cdots, with signs included -- e.g. a body with +5 μC+5\ \mu\text{C} and −2 μC-2\ \mu\text{C} has net charge +3 μC+3\ \mu\text{C}.

Conservation. The total charge of an isolated system never changes. Example: when a plastic rod is rubbed with wool, electrons move from the wool onto the rod; the rod becomes negatively charged and the wool becomes equally positively charged, so the total charge of the rod-wool system remains exactly zero throughout.

Quantisation. Charge is never observed in any amount other than an integral multiple of the elementary charge e=1.6×10−19 Ce=1.6\times10^{-19}\ \text{C}: q=neq=ne, n=0,±1,±2,…n=0,\pm1,\pm2,\ldots. Example: an electron carries charge −e-e; a body that has gained exactly 5 extra electrons carries charge −5e-5e, never, say, −4.5e-4.5e.

✓Final answer

Additivity (Q=∑qiQ=\sum q_i), conservation (constant for an isolated system), and quantisation (q=neq=ne) are the three defining properties of electric charge.

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