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5.1.4Physics SL11 flashcards

Quantisation of charge

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Card 1 of 115.1.4
5.1.4
Question

What does it mean that charge is 'quantised'?

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All 11 Flashcards — Quantisation of charge

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Card 1definition

Question

What does it mean that charge is 'quantised'?

Answer

Charge only comes in **whole-number multiples** of the elementary charge e — never a fraction of e. It changes in fixed steps.

Card 2definition

Question

What is the elementary charge e?

Answer

**e = 1.60 × 10⁻¹⁹ C** — the charge on one proton (+e) or one electron (−e). The smallest 'lump' of charge. Given in the data booklet.

Card 3formula

Question

Formula linking charge to the number of electrons?

Answer

$Q = N e$ — total charge = whole number N of elementary charges. Rearranged: $N = \dfrac{Q}{e}$.

Card 4formula

Question

How do you find how many electrons make up a charge Q?

Answer

Use **N = Q ÷ e**. The answer must be a **whole number**.

Card 5concept

Question

Why must N in Q = N e be a whole number?

Answer

Because you can only add or remove **whole** electrons — charge changes in steps of e, so N is always a whole number.

Card 6concept

Question

Why is an object negatively charged?

Answer

It has **gained extra electrons**. (A positively charged object has **lost** electrons.) Each electron carries −e.

Card 7concept

Question

What did Millikan's oil-drop experiment show?

Answer

Every measured drop charge was a **whole-number multiple of the same smallest step**, e — the experimental proof that charge is **quantised**.

Card 8example

Question

Is a charge of 2.4 × 10⁻¹⁹ C possible? (e = 1.60 × 10⁻¹⁹ C)

Answer

**No.** N = Q ÷ e = 2.4 × 10⁻¹⁹ ÷ 1.60 × 10⁻¹⁹ = 1.5, not a whole number — so it is not allowed.

Card 9example

Question

A charge is 6.4 × 10⁻¹⁹ C — how many electrons? (e = 1.60 × 10⁻¹⁹ C)

Answer

N = Q ÷ e = 6.4 × 10⁻¹⁹ ÷ 1.60 × 10⁻¹⁹ = **4** electrons.

Card 10concept

Question

Is Q = N e given in the data booklet?

Answer

**No** — it is the definition of charge quantisation, so memorise it. But the constant **e = 1.60 × 10⁻¹⁹ C** IS given.

Card 11example

Question

A drop of charge 8e splits into two equal halves — charge on each?

Answer

Each half gets **4e** (8e ÷ 2). Still a whole multiple of e, so allowed.

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IB Physics Quantisation of charge Flashcards | 5.1.4 | Aimnova | Aimnova