1One metre of a particular type of wire has a resistance of 30 Ω. What length of this wire will have a resistance of 6 Ω?20 m180 m20 cm24 cm2Which of the following will cause the resistance of a piece of wire to increase?Increasing its lengthDecreasing its temperatureDecreasing its lengthConnecting it in series to a fixed resistor3A 10 cm-long piece of wire has a resistance of 1.2 Ω. Calculate the resistance of a 70 cm-long piece of wire which is made from the same material, has the same cross-sectional area and is at the same temperature?8.4 Ω12 Ω700 Ω0.17 Ω4Three resistors have resistances of 10, 20 and 30 Ω. Calculate their total resistance when connected in series.60 Ω0 Ω5.45 Ω6000 Ω5When two resistors are connected in series, their total resistance is 100 Ω. What can be said about their total resistance when they are connected in parallel?It will be greater than 100 ΩIt will be equal to zeroIt will be equal to 100 ΩIt will be less than 100 Ω
Question
1One metre of a particular type of wire has a resistance of 30 Ω. What length of this wire will have a resistance of 6 Ω?20 m180 m20 cm24 cm2Which of the following will cause the resistance of a piece of wire to increase?Increasing its lengthDecreasing its temperatureDecreasing its lengthConnecting it in series to a fixed resistor3A 10 cm-long piece of wire has a resistance of 1.2 Ω. Calculate the resistance of a 70 cm-long piece of wire which is made from the same material, has the same cross-sectional area and is at the same temperature?8.4 Ω12 Ω700 Ω0.17 Ω4Three resistors have resistances of 10, 20 and 30 Ω. Calculate their total resistance when connected in series.60 Ω0 Ω5.45 Ω6000 Ω5When two resistors are connected in series, their total resistance is 100 Ω. What can be said about their total resistance when they are connected in parallel?It will be greater than 100 ΩIt will be equal to zeroIt will be equal to 100 ΩIt will be less than 100 Ω
Solution
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The resistance of a wire is directly proportional to its length. Therefore, if 1 meter of wire has a resistance of 30 Ω, then a wire with a resistance of 6 Ω would be 1/5 of that length, or 0.2 meters, which is equivalent to 20 cm.
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The resistance of a wire will increase if its length is increased. This is because the electrons moving through the wire will have a longer path to travel and will encounter more resistance.
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If a 10 cm-long piece of wire has a resistance of 1.2 Ω, then a 70 cm-long piece of the same wire would have 7 times the resistance, or 8.4 Ω. This is because resistance is directly proportional to the length of the wire.
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When resistors are connected in series, their resistances add up. Therefore, the total resistance of three resistors with resistances of 10, 20, and 30 Ω would be 10 + 20 + 30 = 60 Ω.
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When resistors are connected in parallel, the total resistance is less than the resistance of the smallest resistor. Therefore, if two resistors are connected in series and have a total resistance of 100 Ω, their total resistance when connected in parallel will be less than 100 Ω.
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