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Magnetic Force on a Wire Simplified Revision Notes

Revision notes with simplified explanations to understand Magnetic Force on a Wire quickly and effectively.

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Magnetic Force on a Wire

Equipment

  • Wire to suspend: Placed within the magnetic field.
  • Two stands with clamps: To support the wire and magnets.
  • Two identical magnets: To create a uniform magnetic field.
  • Weighing scales: To measure the change in force (measured as mass).
  • Ammeter: To measure the current in the circuit.
  • Variable power supply: To adjust the current through the wire.
  • Ruler: To measure the length of the wire within the magnetic field.
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Method

  1. Setup the Circuit and Zero the Balance:
  • Arrange the apparatus as shown, ensuring the wire is positioned horizontally between the two magnets and can move freely within the magnetic field.
  • With no current flowing, tare the balance to zero the mass reading.
  1. Apply Current and Record Force:
  • Adjust the power supply to set the current II to 0.50 A, as measured by the ammeter.
  • Record the mass mm displayed on the balance. This change in mass reflects the downward force acting on the wire.
  1. Increase Current:
  • Increase the current in increments of 0.50 A, repeating the measurements up to a maximum current of 6.0 A.
  • For each current setting, record the mass on the balance.
  1. Repeat for Accuracy:
  • Conduct the experiment twice more to obtain average mass readings for each current.
  1. Measure Length of Wire in Field:
  • Use the ruler to measure the length LL of the wire within the magnetic field (i.e., the distance between the two magnets).

Graphs and Calculations

  1. Calculate Force:
  • Convert each measured mass mm to force FF by using F=mgF = mg, where g=9.81 m/s2g = 9.81 \, \text{m/s}^2 .
  1. Plot Force vs. Current:
  • Plot a graph of force FF (y-axis) against current II (x-axis).
  • Draw a line of best fit. The gradient of this line represents BĂ—LB \times L, as per the relationship F=BILF = BIL.
  1. Determine Magnetic Flux Density BB:
  • Rearranging F=BILF = BIL gives B=FILB = \frac{F}{IL}.
  • Calculate BB by dividing the gradient by the length LL of the wire in the magnetic field.
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Safety

  • Avoid Touching the Wire: High currents can cause the wire to heat up, which may result in burns.
  • Ensure Equipment Stability: Make sure the setup is secure to prevent any components from tipping or falling due to the applied magnetic force.

Improvements and Notes

  1. Use a High-Resolution Scale:
  • Since the forces involved are generally small, a scale with high precision will improve measurement accuracy.
  1. Add a Variable Resistor:
  • Adding a variable resistor in series with the wire allows fine control over the current, making it easier to achieve precise current increments.
infoNote

Key Concepts

  • Magnetic Force on a Wire: The force on a current-carrying wire in a magnetic field depends on the magnetic flux density BB, the current II, and the length of wire LL in the field.
  • Calculating Flux Density: By measuring force at different currents and plotting FF against II, we can determine BB from the graph's gradient.
  • Practical Application of F=BILF = BIL: This experiment demonstrates the quantitative relationship between magnetic fields and electric currents, a fundamental concept in electromagnetism.
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