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Capacitance and Dielectrics · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

A capacitor holds \(6\,\mu\text{C}\) at \(300\,\text{V}\). At \(100\,\text{V}\) it holds

2

Two plates of area \(100\,\text{cm}^2\) stand \(2\,\text{mm}\) apart in air. With \(\varepsilon_0\) \(= 8.85 \times 10^{-12}\,\text{C}^2/(\text{N m}^2)\), the capacitance is

3

An isolated metal sphere of radius \(18\,\text{cm}\) has a capacitance, with \(k\) \(= 9 \times 10^9\,\text{N m}^2/\text{C}^2\), of

4

A \(10\,\mu\text{F}\) capacitor is charged by a \(100\,\text{V}\) battery. The energy stored, and the work done by the battery, are

5

A charged capacitor is disconnected from its battery and its plates are pulled apart. Which stays the same?

6

Capacitors of \(3\,\mu\text{F}\) and \(6\,\mu\text{F}\) in series are joined across \(90\,\text{V}\). The voltage across the \(3\,\mu\text{F}\) is

7

A \(4\,\mu\text{F}\) capacitor at \(100\,\text{V}\) is joined plate to plate with an uncharged \(4\,\mu\text{F}\). The fraction of the stored energy lost is

8

A slab of \(K = 4\) fills the gap of a capacitor that stays connected to its battery. The charge on the plates

9

A metal slab half as thick as the gap is put in an air capacitor of capacitance \(C_0\). The new capacitance is

10

Two dielectrics \(K_1\) and \(K_2\) are stacked, each filling half the gap over the whole area. They act as