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A current flowing through a conductor creates a magnetic field around it - Leaving Cert Physics - Question 10 - 2021

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A current flowing through a conductor creates a magnetic field around it. (i) What is a magnetic field? (ii) Describe an experiment to show the magnetic field arou... show full transcript

Worked Solution & Example Answer:A current flowing through a conductor creates a magnetic field around it - Leaving Cert Physics - Question 10 - 2021

Step 1

What is a magnetic field?

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Answer

A magnetic field is a region around a magnetic material or a moving electric charge within which magnetic forces can be experienced. It is represented by magnetic field lines that illustrate the direction and strength of the magnetic force.

Step 2

Describe an experiment to show the magnetic field around the conductor.

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Answer

To demonstrate the magnetic field around a current-carrying conductor, follow these steps:

  1. Apparatus: Gather materials including a straight piece of conductor (like a wire), a DC power supply, a compass, and a sheet of paper.

  2. Method: Place the straight conductor horizontally on the table. Connect the ends of the wire to the power supply. Position the compass at various points around the conductor, ensuring the compass needle can move freely.

  3. Observation: Once the current is turned on, observe the direction in which the needle of the compass aligns itself. It will deflect from its north orientation, indicating the presence and direction of the magnetic field created by the current in the wire.

Step 3

Draw the shape and direction of this magnetic field.

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The shape of the magnetic field around a straight conductor is circular. To draw it:

  • Indicate the wire in the center.
  • Draw concentric circles around the wire to represent the magnetic field lines.
  • Use arrows on the circles to show the direction of the magnetic field, which is determined by the right-hand rule (curl the fingers of your right hand around the wire in the direction of current flow; your thumb points in the direction of the magnetic field).

Step 4

The magnitude of this force depends on a number of factors. Name three of them.

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Answer

The magnitude of the force experienced by a current-carrying conductor in a magnetic field depends on:

  1. Magnetic flux density (B): The strength of the magnetic field.
  2. Current (I): The amount of electric current flowing through the conductor.
  3. Length of the conductor (L): The length of the conductor that is within the magnetic field.

Step 5

Derive an expression for the force F experienced by a charge q travelling with velocity v perpendicular to a magnetic field of flux density B.

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Answer

The force F acting on a charge q moving at a velocity v in a magnetic field of flux density B is given by the equation:

F=qvBF = qvB
Where:

  • F is the force (in Newtons),
  • q is the charge (in Coulombs),
  • v is the velocity (in m/s),
  • B is the magnetic flux density (in Tesla).
    This equation assumes that the velocity is perpendicular to the magnetic field.

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