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The electric field. Charge distribution on conductors

Lessons 5–6 · 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
5

Electric field

Textbook: pp. 18–21
GoalKnow the electric field, field lines and field strength E = F/q₀; calculate the field of a point charge.
New words
electric field · elektr maydonfield lines · kuch chiziqlarielectric field strength (E) · maydon kuchlanganligi (E)dielectric constant (ε) · dielektrik singdiruvchanlik (ε)
Explanation

Charged bodies interact without touching; Faraday explained this by the electric field: every charge has a field around it, and the field acts with a force on other charges. The field of stationary charges is called the electrostatic field; it weakens as we move away from the charge. We cannot see the field, so we draw field lines: they start on a positive charge and end on a negative charge (or at infinity). To judge the field at a point, a small positive test charge q₀ is placed there: the field strength is E = F/q₀, measured in N/C, directed like the force on a positive charge (a vector quantity). At a distance r from a point charge q in a vacuum, E = k·|q|/r². In a dielectric the field is ε times weaker: E = k·|q|/(ε·r²), where ε is a dimensionless quantity (ε = 1 for a vacuum).

Worked examples
A force of 2 µN acts on a 4 nC test charge: E = F : q₀ = 2·10⁻⁶ : 4·10⁻⁹ = 500 N/C.
At 3 cm from a 5 nC point charge in a vacuum: E = 9·10⁹ · 5·10⁻⁹ : 0.03² = 45 : 9·10⁻⁴ = 5·10⁴ N/C. In a liquid with ε = 2 the field is half as strong: 2.5·10⁴ N/C.
Class activity

“Drawing field lines”: in your notebook draw the field lines of a positive point charge, a negative point charge and two opposite charges, with arrows. Extra: with an adult, bring a rubbed comb near a thin stream of tap water and watch the stream bend.

Practice
1
What is electric field strength and in which unit is it measured?
2
A 15 nC charge is placed at a point where E = 4000 N/C. What force (in µN) acts on it?
3
How are the field lines directed around a negative point charge?
4
Why is the field of a charge weaker in a liquid dielectric than in a vacuum?