A car has two headlights, and their power is derived from the car\'s battery. Th

Question

A car has two headlights, and their power is derived from the car's battery. The filament in one burns out, but the other headlight stays on. Are the headlights connected in series or in parallel? Two identical light bulbs are connected to identical batteries in two different ways. In method A the bulbs are connected in parallel, and the parallel combination is connected between the one battery's terminals. In method B the bulbs are connected in series, and the series combination is connected between the other battery's terminals. What is the ratio of the power supplied by the battery in method A to the power supplied in method B? (a) 1/4 (b) 4 (c) 1/2 (d) 2 (e) 1

Explanation / Answer

14. A : 1/Req = 1/R + 1/R

Req = R/2

I = V / Req = 2 V / R

PA = V I = 2 V^2 / R

B: Req = R + R = 2 R

I = V / 2 R

PB = V I = V^2 / 2 R

PA / PB = 4

  

Ans(b)

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