A non-ideal battery with internal resistance r is connected as shown to a collec

Question

A non-ideal battery with internal resistance r is connected as shown to a collection of eight identical light bulbs, each with the same resistance R. Known values: epsilon = 120 V r = 0.01 ohm R = 3.00 ohm Rank the brightnesses of the bulbs, from brightest to dimmest. Suppose that bulb 1 could be exchanged for a new variety of bulb that is identical to the original in every respect except that its filament is 25% longer and 25% thicker (greater diameter). By what percentage would delta V_1 (the voltage difference across bulb 1) change? Referring to the original circuit (as shown above): You are now offered a choice of removing either the straight wire A or the straight wire B. Which action would result in a larger change in the total current supplied by the battery (and what kind of change-an increase or a decrease)? Be sure to show all work and calculations for each alternative.

Explanation / Answer

a) Brightness of bulbs from brightest to dimmest

=> bulb1 > bulb4 > bulb2 > bulb3 > bulb5 > bulb6 > bulb8 > bulb7

b) As, Resistance = rho * L/A

=> Resistance would become 0.8 times of original value .

=> voltage difference across bulb 1 would decrease by 20 % .

c) Straight wire A removing would result in larger change in total current supplied by battery .

    This would result in increase in total current supplied by battery .

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