From time to time, transformers explode. If your neighborhood has ever lost power all at once, this is likely to be one of the reasons. To illuminate why this happens, consider the transformer box in your neighborhood: It needs to take the 7200 V from the power lines and transform it to 120 V, which you will use in your home. (a) If the secondary coil has 40 turns, how many turns does the primary coil have? (b) If the 7200 V coil and the 120 V coil are separated by a distance of 30 cm, calculate the electric field that exists between them. (c) How much energy is stored in this electric field, if the total volume enclosed between the transformer is 0.6 m³? Do you think this is enough to cause an explosion? [If you're curious, the real reason is because they contain a mineral oil that is used for insulation. If there is a short circuit, lightning strike, or if the temperature otherwise gets too high, the oil begins to of hydrogen and methane, which is highly

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From time to time, transformers explode. If your neighborhood has ever lost power all at once, this is likely to be
one of the reasons. To illuminate why this happens, consider the transformer box in your neighborhood: It needs
to take the 7200 V from the power lines and transform it to 120 V, which you will use in your home.
(a) If the secondary coil has 40 turns, how many turns does the primary coil have?
(b) If the 7200 V coil and the 120 V coil are separated by a distance of 30 cm, calculate the electric field that
exists between them.
(c) How much energy is stored in this electric field, if the total volume enclosed between the transformer is 0.6
m³? Do you think this is enough to cause an explosion?
[If you're curious, the real reason is because they contain a mineral oil that is used for insulation. If there is a short
circuit, lightning strike, or if the temperature otherwise gets too high, the oil begins to vaporize, forming bubbles
of hydrogen and methane, which is highly combustible.]
Transcribed Image Text:From time to time, transformers explode. If your neighborhood has ever lost power all at once, this is likely to be one of the reasons. To illuminate why this happens, consider the transformer box in your neighborhood: It needs to take the 7200 V from the power lines and transform it to 120 V, which you will use in your home. (a) If the secondary coil has 40 turns, how many turns does the primary coil have? (b) If the 7200 V coil and the 120 V coil are separated by a distance of 30 cm, calculate the electric field that exists between them. (c) How much energy is stored in this electric field, if the total volume enclosed between the transformer is 0.6 m³? Do you think this is enough to cause an explosion? [If you're curious, the real reason is because they contain a mineral oil that is used for insulation. If there is a short circuit, lightning strike, or if the temperature otherwise gets too high, the oil begins to vaporize, forming bubbles of hydrogen and methane, which is highly combustible.]
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