Suppose three identical resistors are first connected in parallel and then in series. The ratio of the resultant resistance of the first combination to the second will be: (a) 1:3... Suppose three identical resistors are first connected in parallel and then in series. The ratio of the resultant resistance of the first combination to the second will be: (a) 1:3 (b) 3:1 (c) 9:1 (d) 1:9. Suppose the resistance of an incandescent light bulb changes as the voltage across the bulb is changed. Which of the following is true? (a) The bulb has low ionisation potential (b) The bulb is a type of non-linear resistance (c) This change is caused because of the internal inductance of the bulb (d) None of these. Suppose three 6Ω resistors are connected to form a triangle. Then the resistance between any two corners will be: (a) 8Ω (b) 4Ω (c) 2Ω (d) 16Ω. In the set-up shown below, resistance between the points P and Q is: (a) 0 (b) 10Ω (c) 20Ω (d) 0.5Ω. If the current voltage graph for a given metallic wire at two different temperatures t1 and t2 is as shown below, then: (a) t1 = t2 (b) t2 < t1 (c) t1 > t2 (d) t1 = 3t2. When i = 10A, the power being dissipated will be: (a) 30W (b) 30kW (c) 3.3kW (d) 3kW. How does the resistance to the flow of current through a copper wire change? (a) It increases as the length of the wire increases (b) It decreases as the length of the wire increases.

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Understand the Problem

The question asks about various electrical concepts, including resistor combinations, characteristics of light bulbs, and resistance changes in wires at different temperatures. The broader focus is on understanding electrical resistance and circuits.

Answer

1:9

The ratio of the resultant resistance of the first combination to the second will be 1:9.

Answer for screen readers

The ratio of the resultant resistance of the first combination to the second will be 1:9.

More Information

When three identical resistors are connected in parallel, the total resistance is significantly lower than when they are connected in series.

Tips

A common mistake is to incorrectly calculate the parallel resistance. Remember that the inverse of total resistance is the sum of the inverses of individual resistances.

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