☰ Contents · Physics

Capacitor and capacitance

Lessons 27–28 · 2 lessons · P.Q. Habibullayev, A. Boydedayev, A.D. Bahromov, J.E. Usarov, K.T. Suyarov, M.K. Yuldasheva. Physics, textbook for Grade 8 of general secondary schools, revised and enlarged 3rd edition. “O‘qituvchi” Publishing and Printing Creative House, Tashkent, 2019
27

Electric capacitance. Capacitors

Textbook: pp. 78–81
GoalKnow the structure of a capacitor and the idea of capacitance C = q/U, and use the farad.
New words
capacitor · kondensatorcapacitance · elektr sig‘imifarad · faradplate · qoplama
Explanation

A capacitor is a device of two conductors (plates) separated by a layer of dielectric (insulator); it is used to store electric charge. The plates receive equal charges of opposite sign: +q on one and −q on the other. The ratio of the charge q to the voltage U between the plates is called the capacitance of the capacitor: C = q/U. The unit of capacitance is the farad (F): 1 F = 1 C/1 V. In practice small units are used: 1 µF = 10⁻⁶ F, 1 nF = 10⁻⁹ F, 1 pF = 10⁻¹² F. Capacitance depends on the capacitor itself (its size, shape, dielectric), not on q and U. A charged capacitor holds its charge, so do not touch capacitors in old devices — only a specialist does that.

Worked examples
A capacitor holds 60 µC on a plate at 12 V: C = q : U = 60 : 12 = 5 µF.
A capacitor of 2 µF is charged to 100 V: q = C·U = 2 · 100 = 200 µC.
Class activity

Draw in your notebook the symbol of a capacitor (two parallel lines) and a simple picture of one (two foil plates + paper). Do not charge a capacitor yourself; drawing and calculating only.

Practice
1
What is capacitance and in what unit is it measured?
2
A capacitor has q = 90 µC and U = 30 V. The capacitance in µF?
3
What charge (µC) is needed to charge a 4 µF capacitor to 50 V?
4
Why does the capacitance of a capacitor not change even if the charge on it grows?