Experiment 4f Class: Name: ( ) Date: 4f Effect of magnetic field strength on magnetic force Objective To find out how the magnetic force on a current-carrying conductor is affected by the magnetic field strength. Background information 1 The magnetic field strength at the centre of an infinitely long currentcarrying solenoid is directly proportional to the current through it. It is given by the equation: B = µ 0nI. 2 When a current flows through a conductor in a magnetic field across it, a magnetic force acting on it is produced. 3 The graph in Figure 4f-1 is a straight line passing through the origin, which means x and y are directly proportional, i.e. y∝x or y = kx (k is a constant) y y0 slope = x = k 0 y0 origin x0 x Fig 4f-1 Apparatus ❏ 1 current balance ❏ 2 power packs (0–12 V a.c./d.c.) ❏ 1 flat solenoid ❏ 1 electronic balance ❏ 2 ammeters ❏ 2 rheostats ❏ several connecting leads 70 New Physics at Work (Second Edition) © Oxford University Press 2007 Class: Name: ( Experiment 4f ) Date: Procedure Note 1 (a) Set up a current balance (Fig 4f-2). (b) Adjust the position of the wire until it is balanced. (c) Set the reading of the electronic balance to zero. The reading is in gram for some electronic balances. Since an object of 1 gram has a weight of 0.01 N on earth, the reading can be changed to values of force easily by multiplying it by 0.01. power pack rheostat ammeter ✐ In order to obtain directly proportional relationship of F and B, the arm of the current balance must be horizontal and sit lightly on the plate of the electronic balance. Some books of suitable thickness may be necessary to achieve this. flat soleniod insulator electronic balance power pack ammeter rheostat Fig 4f-2 2 (a) Connect a flat solenoid in series with a rheostat, an ammeter and a d.c. power supply. (b) Place the current-carrying arm of the current balance inside the flat solenoid. 3 (a) Pass a fixed current of 3 A through the wire of the current balance. (b) Switch on the power supply connecting to the flat solenoid. Vary the current flowing through the solenoid by changing the resistance of the rheostat. (c) Take the reading of the ammeter connecting to the flat solenoid and the reading of the electronic balance. Record the results in Table 4f-1 on p.72. ✐ The magnetic field produced by the solenoid is quite small. Therefore, the current through the wire should not be too small, say 1 A, otherwise the magnetic force produced will be too small. Note The reading of the electronic balance gives the magnetic force acting on the current-carrying arm. New Physics at Work (Second Edition) © Oxford University Press 2007 71 Experiment 4f Class: Name: ( ) Date: 4 Repeat several times with other current values through the flat solenoid. Record the results in Table 4f-1. ✎ Results: Current through flat solenoid / A (∝ magnetic field strength B) 0.5 1.0 1.5 Magnetic force on wire F / × 10–3 N 0.6 1.3 1.8 Table 4f-1 5 Plot a graph of the magnetic force F on wire against the current through flat solenoid (directly proportional to the magnetic field strength B) in Figure 4f-3. magnetic force on wire F / t 10–3 N 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 0.5 1.0 1.5 2.0 2.5 current through flat solenoid / A (u magnetic field strength B) Fig 4f-3 72 New Physics at Work (Second Edition) © Oxford University Press 2007 Class: Name: ( Experiment 4f ) Date: Discussion ✎ How is the magnetic force F on the wire related to the magnetic field strength B? The magnetic force on the wire is directly proportional to the magnetic field strength, i.e. F ∝ B. The magnetic force on a current-carrying conductor is directly proportional _______________________________ to the magnetic field strength. New Physics at Work (Second Edition) © Oxford University Press 2007 73