Physics 2212, Lab 10: Magnetic Force

Edward Thomas, Summer 1999
revised by Eric Murray, Fall 2006

Question these experiments will enable you to answer: Is the magnetic force on a current-carrying wire linearly proportional to its length? Is the magnetic force on a current-carrying wire linearly proportional to the current?

Features: A current balance technique will be used to measure the magnetic force on a current-carrying wire. A permanent magnet is placed on a balance and a wire segment positioned within its magnetic field. The magnetic force on the wire is the difference between the weight of the permanent magnet and its apparent weight when current passes through the wire.

Preliminaries: Careful work on this experiment can not only yield good results, but protects the equipment from damage. In particular

You have a wire support assembly held on a conventional stand, a beam balance, and a box of wire samples. Take the wire sample labelled SF 42 and plug it into the end of the support assembly. The magnet (found in the box of straight wire samples) is placed on the balance pan with the open channel upwards. The straight wires sample is placed into the throat of this magnet assembly (between the red and white bars).

The Current Balance. The electrical connection is to the DC supply with one of the multimeters placed in series to measure current. Plug the red lead to the multimeter into the 10 A socket. Turn the meter control to the 10 A setting. As a precaution turn the voltage and current controls on the supply fully counter-clockwise so that they are set to give zero output. Current is important in this experiment, and the power supply should be operated in a constant current mode. Current should be measured with the multimeter, as it is more accurate and more easily readable than the current meter on the power supply.

Experiment 1: Find the mass of your magnet by moving the riders on the various horizontal beams of the balance until the index at the beam end (far right) is level with the fixed mark on the balance. Be very careful about the positioning of these various riders. To get accurate (meaningful) readings the rider must be positioned in one of the grooves, which also means the number corresponding to that weight is visible through the aperture on the rider. Only the last rider (0.1 to 0.9 grams) slides along its bar continuously. The mass of the magnet assembly is about 160 grams. Record the mass of the magnet. You can measure to 1/1000th of a gram by carefully estimating the position of the rider between the 0.01 gram markings.

At this point make sure the wire sample is not touching the magnet (if it is then the mass measurement you just made is wrong), is positioned centrally in the magnet throat and is as low in the throat as possible without hitting the bottom.

Turn on the power supply. Turn up the voltage a little, then turn up the current to 4 amps. The balance should move due to the force between the wire and the magnet. Try re-balancing the balance by moving the riders. It takes some skill and care to get this quite right. The change in the apparent mass of the magnet (from the mass when there was no current) is determined from the change in the mass indicated by the balance. The change in mass change multiplied by the acceleration due to gravity is the force between magnet and wire.

The magnet has a white side and a red side. From the direction of the force on the wire, determine whether the red is the North end or the South end of the magnets.

Experiment 2: For the straight wire sample (such as SF 42), examine how the force between the magnet and wire depends on current. Measure the force for several currents between zero and 4 A in approximately half-amp steps. Plot the force as a function of current. Does the graph show that force is proportional to current? Fit a straight line to the data. Report the slope with its uncertainty, and calculate the magnetic field magnitude with its uncertainty.

Experiment 3: For a particular current of approximately two to three amps, examine how the force between the magnet and wire depends on the wire length. Measure the force for at least five lengths. Plot the force as a function of wire length. Does the graph show that force is proportional to wire length? Fit a straight line to the data. Report the slope with its uncertainty, and calculate the magnetic field magnitude with its uncertainty.

Summary: Review your worksheet. Think about the goals of these experiments, your results, and the expectations from theory while writing your discussion.