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A 6 V battery is rated at 2.4 Ah and has a lifetime of 10 hours.

(a) What is the maximum current it can supply?
(b) How much power can it deliver?
(c) How much energy is stored in this battery?

Answer :

Final answer:

The maximum current the battery can supply is 1.44 A. The power it can deliver is 8.64 W. The energy stored in the battery is 86.4 J.

Explanation:

(a) To calculate the maximum current the battery can supply, we use the formula I = Q/t, where I is the current, Q is the charge, and t is the time. The charge Q is equal to the product of the battery's rating in Ah and the voltage in V, so 2.4 Ah * 6 V = 14.4 C. The time t is given as 10 hours. Plugging these values into the formula, we get I = 14.4 C / 10 h = 1.44 A.

(b) The power delivered by a battery can be calculated using the formula P = IV, where P is the power, I is the current, and V is the voltage. Substituting the values from the previous calculations, we get P = 1.44 A * 6 V = 8.64 W.

(c) The energy stored in the battery can be calculated using the formula E = QV, where E is the energy, Q is the charge, and V is the voltage. Substituting the values from the previous calculations, we get E = 14.4 C * 6 V = 86.4 J.

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