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What is the ratio of maximum to minimum resistance obtainable from n wires of resistance R each?

Why does an electric bulb nearly burn out just as we turn on the light, but almost never while the light is shining?
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What is the ratio of maximum to minimum resistance obtainable from n w...
1. Total number of resistors = n

Resistance of each resistor = R

(i) When n resistors are connected in series, effective resistance R1 is the maximum, given by the product nR.

Hence, maximum resistance of the combination, R1 = nR

(ii) When n resistors are connected in parallel, the effective resistance (R2) is the minimum, given by the ratio R/n
Hence, minimum resistance of the combination, R2 = R/n

(iii) The ratio of the maximum to the minimum resistance is R1/R2 = nR/(R/n) = n^2

2. An electric light bulb is not an ideal resistor. This means that as the filament in the light bulb heats up, its resistance changes.
When it is cool, the resistance is the lowest. This means that when the switch is flipped to turn it on, the current is larger initially and then decreases as the filament heats up and the resistance increases. The sudden change in temperature due to the current can cause the brittle filament to break.Once the bulb is shining, the temperature is staying relatively constant and the filament is unlikely to break.

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What is the ratio of maximum to minimum resistance obtainable from n wires of resistance R each?Why does an electric bulb nearly burn out just as we turn on the light, but almost never while the light is shining?
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