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Loudspeakers, d.c - Leaving Cert Physics - Question 10 - 2015

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Loudspeakers, d.c. motors and galvanometers are all based on the principle that a current-carrying conductor in a magnetic field experiences a force. Describe a lab... show full transcript

Worked Solution & Example Answer:Loudspeakers, d.c - Leaving Cert Physics - Question 10 - 2015

Step 1

Describe a laboratory experiment to demonstrate this principle.

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Answer

To demonstrate the principle that a current-carrying conductor experiences a force in a magnetic field, a simple laboratory experiment can be conducted.

  1. Equipment Needed: A power supply, a flat coil of conducting wire (copper), a bar magnet, and a suitable support stand.

  2. Setup: Connect the coil to the power supply. Position the bar magnet such that its magnetic field lines are perpendicular to the plane of the coil.

  3. Execution: When the power supply is turned on, current will flow through the coil. Observe the coil's movement. Since the current-carrying conductor (the coil) is in the magnetic field of the bar magnet, it will experience a force and move or deflect.

  4. Observation: Measure the deflection angle of the coil with a protractor, showing the effect of the magnetic force on the conductor.

Step 2

Describe, with the aid of a labelled diagram, the principle of operation of the moving-coil loudspeaker.

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Answer

The moving-coil loudspeaker operates based on electromagnetic induction. The components include a coil of wire, a permanent magnet, and a diaphragm. The process is as follows:

  1. Coil: Connected to an audio signal, the coil carries an AC current, producing a magnetic field around it.
  2. Magnet: The permanent magnet provides a stable magnetic field.
  3. Interaction: The interaction between the magnetic fields causes the coil to experience a force, which makes it move back and forth.
  4. Diaphragm: This coil is attached to a diaphragm that vibrates as the coil moves, producing sound waves corresponding to the audio signal.

Diagram: (not included, but should show the coil, magnet, diaphragm, and relevant connections).

Step 3

What is the principal energy conversion that takes place in a d.c. motor?

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Answer

The principal energy conversion that takes place in a d.c. motor is from electrical energy to kinetic energy. The electrical energy supplied to the motor is converted into mechanical energy, which allows the motor to perform work.

Step 4

(i) the commutator

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The commutator in a d.c. motor reverses the direction of current flow through the coil after every half turn, ensuring that the torque exerted on the coil continues in the same rotational direction. This is essential for the continuous rotation of the motor.

Step 5

(ii) the carbon brushes

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Answer

The carbon brushes in a d.c. motor provide a sliding electrical contact between the stationary power source and the rotating commutator. They maintain the electrical connection as the motor rotates.

Step 6

Calculate the maximum torque exerted by the motor.

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Answer

To calculate the maximum torque exerted by the d.c. motor, use the formula:

egin{align*} F &= B I L
&= 5.5 ext{ T} imes 1.2 ext{ A} imes 0.08 ext{ m} &= 0.528 ext{ N} ext{(length is converted from 8 cm to meters)}
ext{Torque} &= F imes r
&= 0.528 ext{ N} imes 0.08 ext{ m} imes 500 ext{ turns}
&= 21.12 ext{ N m} ext{Maximum torque is approximately } 21.1 ext{ N m.}

Step 7

Explain how the galvanometer could be converted into a voltmeter of full-scale deflection 5 V.

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Answer

To convert a galvanometer into a voltmeter of full-scale deflection 5 V:

  1. Place a resistor (R) in series with the galvanometer.

  2. Determine the required resistance using Ohm's law:

    egin{align*} V &= IR \ R &= rac{V}{I} &= rac{5 ext{ V}}{0.01 ext{ A}} &= 500 ext{ Ω} ext{(to accommodate 10 mA deflection)} \ ext{Total resistance required} &= R_g + R
    R_g &= 90 ext{ Ω (internal resistance)} ext{
    Therefore,} R &= 500 ext{ Ω} - 90 ext{ Ω} = 410 ext{ Ω} ext{
    This will allow the galvanometer to read up to full-scale deflection at 5 V.}

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