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Calculate the operating current (I) of the electric heater using the formula P = VI, where P is power and V is voltage.

Physics

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Answer

C

Step-by-step solution

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Here are the solutions for questions A16 and A17:

A16 Which fuse is most suitable for use in a 2000W electric heater connected to a 240V supply?

  1. Calculate the operating current (II) of the electric heater using the formula P=VIP = VI, where PP is power and VV is voltage.

    I=PVI = \frac{P}{V} I=2000 W240 VI = \frac{2000 \text{ W}}{240 \text{ V}} I=20024 AI = \frac{200}{24} \text{ A} I=253 AI = \frac{25}{3} \text{ A} I≈8.33 AI \approx 8.33 \text{ A}
  2. Choose a fuse rating that is slightly higher than the operating current to allow for normal operation but will blow if there is an overload.

    Comparing 8.33 A8.33 \text{ A} with the given options:
    A: 3 A (too low)
    B: 5 A (too low)
    C: 10 A (suitable, as it's the next standard rating above 8.33 A)
    D: 13 A (also above, but 10 A provides closer protection)

    The most suitable fuse is 10 A.

    The correct option is C.


    A17 What is the operating resistance of an electric lamp rated 60W, 240V?

  3. Use the formula relating power (PP), voltage (VV), and resistance (RR)

    P=V2RP = \frac{V^2}{R}.
    Rearrange the formula to solve for resistance:

    R=V2PR = \frac{V^2}{P}
  4. Substitute the given values into the formula.

    R=(240 V)260 WR = \frac{(240 \text{ V})^2}{60 \text{ W}} R=240×24060ΩR = \frac{240 \times 240}{60} \Omega R=5760060ΩR = \frac{57600}{60} \Omega R=960ΩR = 960 \Omega
  5. Compare the calculated resistance with the given options.

    A: 4 Ω\Omega
    B: 300 Ω\Omega
    C: 960 Ω\Omega
    D: 14 400 Ω\Omega

    The calculated resistance is 960Ω960 \Omega.

    The correct option is C.

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