☰ Contents · Physics

Ohm’s law

Lessons 17–18 · 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
17

Ohm’s law for a part of a circuit

Textbook: pp. 56–59
GoalKnow Ohm’s law for a part of a circuit, I = U/R, and use it to find current, voltage and resistance.
New words
Ohm’s law · Om qonunidirectly proportional · to‘g‘ri proporsionalinversely proportional · teskari proporsional1 Ω = 1 V/1 A · 1 Ω = 1 V/1 A
Explanation

If the resistance of a conductor is constant, the current grows as many times as the voltage across it: I ~ U. If the voltage is constant, the current falls as many times as the resistance grows: I ~ 1/R. In 1827 the German physicist Georg Ohm combined these results: for a part of a circuit the current is I = U/R, that is, the current in a conductor is directly proportional to the voltage across it and inversely proportional to its resistance. From it U = I·R and R = U/I follow. The unit of resistance is the ohm: 1 Ω is the resistance of a conductor through which 1 A flows when the voltage across it is 1 V. The formula R = U/I does not mean that resistance depends on voltage: resistance is fixed by the conductor itself (l, S, substance). The smaller the resistance of an ammeter and the larger that of a voltmeter, the less they disturb the circuit.

Worked examples
A resistor R = 40 Ω has U = 12 V across it: I = U : R = 12 : 40 = 0.3 A.
A lamp carries 0.25 A when the voltage across it is 3.5 V: R = U : I = 3.5 : 0.25 = 14 Ω. For a current of 0.5 A (R unchanged) we need U = I·R = 0.5 · 14 = 7 V.
Class activity

Check a table: for a conductor let U = 2 V, 4 V, 6 V give I = 0.1 A, 0.2 A, 0.3 A. Calculate U : I for each column (20 Ω) and draw the graph of I against U — it is a straight line. Pencil and paper only.

Practice
1
State Ohm’s law for a part of a circuit and write its formula.
2
A conductor of 15 Ω carries 0.4 A. What is the voltage across it in volts?
3
What current (A) flows through a 60 Ω conductor at 24 V?
4
Why does R = U/I not mean that resistance depends on voltage?