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V₃ = 1.2\,A x 2

Mathematics

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V3=1.2 A×2 ΩV_3 = 1.2\,\text{A} \times 2\,\Omega V3=2.4 VV_3 = 2.4\,\text{V}

The voltmeter reading will be 2.4 V\boxed{\text{2.4 V}}.

8. (a)

i)

  • Increase the speed of the magnet: Moving the magnet faster into or out of the solenoid increases the rate of change of magnetic flux linkage, which induces a larger electromotive force (e.m.f.) and thus a larger current.
  • Increase the number of turns in the solenoid: A solenoid with more turns will have more conductors cutting the magnetic field lines for the same movement, leading to a larger induced e.m.f. and current.

ii)

  1. Apply Lenz's Law.

    As the North pole of the magnet moves into the solenoid, an induced current will flow to create a magnetic field that opposes this motion. To oppose the incoming North pole, end X of the solenoid must become a North pole.
    The polarity of end X of the solenoid is North pole\boxed{\text{North pole}}.

    8. (b)

    i)
    Points A and D\boxed{\text{A and D}} are in phase.
    Explanation: Both points A and D represent crests of the wave, meaning they have the same maximum positive displacement and are at the same stage of their oscillation.

    ii)
    The distance from A to D\boxed{\text{A to D}} represents one wavelength.
    Explanation: This distance covers one complete cycle of the wave, from one crest to the next consecutive crest.

    iii)

  2. Identify given values.

    Wavelength, λ=0.8 m\lambda = 0.8\,\text{m}
    Speed, v=20 m/sv = 20\,\text{m/s}

  3. Use the wave speed formula to calculate frequency.

    The relationship between speed, frequency, and wavelength is v=fλv = f \lambda.
    Rearrange to solve for frequency: f=vλf = \frac{v}{\lambda}.

    f=20 m/s0.8 mf = \frac{20\,\text{m/s}}{0.8\,\text{m}} f=25 Hzf = 25\,\text{Hz}

    The frequency of the wave is 25 Hz\boxed{\text{25 Hz}}.

    iv)

    • Wave pulse: A single, non-repeating disturbance or short burst of energy that travels through a medium.
    • Wave train: A continuous series of periodic waves that propagates through a medium, consisting of multiple wave cycles.

    8. (c)

    • Promoting the use of renewable energy sources: Shifting from fossil fuels to sources like solar, wind, and hydroelectric power reduces air pollution and greenhouse gas emissions.
    • Implementing stricter regulations on industrial emissions and waste disposal: This ensures that factories and industries release fewer pollutants into the air and water, and manage their waste responsibly.
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