Size AA modern NiMH rechargeable batteries have a maximum capacity of 2050 mAh and the emf equal to 1.20 V. A flashlight has three such batteries connected in series. The 3.6 V bulb takes 0.33 A. Assuming that the emf and the current do not change with time, calculate how long the flashlight will operate using these rechargeable batteries. Show your work.

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Answer:

Explanation:

The same current flows through each part of a series circuit. The total resistance of a series circuit is equal to the sum of individual resistances. Voltage applied to a series circuit is equal to the sum of the individual voltage drops.

I = 0.33 A

= 330 mA

Capacity, P = I × t

= 2050/330

= 6.21 hours

Time, t = 6.21 hours.

Total run time of light is 6.21 hour.

Energy consumed:

Given;

Maximum capacity = 2050 mAh

Emf = 1.20 V

The 3.6 V bulb takes 0.33 A

Find:

Total run time of light

Computation:

Total energy = 2050 mAh

Total energy = 3[(2050)(10⁻³)(3600)(1.2)]

Total energy = 26,568 J

Energy consumed per hour = VI

Energy consumed per hour = (3.6)(0.33)

Energy consumed per hour = 1.188 W

Total run time of light = E/t

Total run time of light = 26568 / 1.188

Total run time of light = 22,363.6 Second = 6.21 hour

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