A 50 Ampere-hour battery can supply a current of 50 A for 1 hour, 25 A for 2 hour, and so on. Then the total energy stored in the 12V-50 Ampere-hour battery is:
Correct answer: B. 1.2 x 10^3 J
- A. 600 J
- B. 1.2 x 10^3 J
- C. Depends on for how much time it is used
- D. 3.6 x 10^4 J
Explanation
To calculate the total energy stored in the 12V-50 Ampere-hour battery, we need to find the total charge (in Coulombs) stored in the battery and then multiply it by the battery's voltage.Given that the battery has a capacity of 50 Ampere-hours (Ah), we can find the total charge (Q) in Coulombs using the equation:Q = Current (in Amperes) × Time (in hours)For the given data:For 1 hour, the current is 50 Amperes.For 2 hours, the current is 25 Amperes.The battery voltage is 12 Volts.First, let's calculate the total charge:For 1 hour: Q1 = 50 A × 1 h = 50 CoulombsFor 2 hours: Q2 = 25 A × 2 h = 50 CoulombsNow, add up the total charge for all the hours:Total Charge (Q_total) = Q1 + Q2 = 50 C + 50 C = 100 CoulombsFinally, calculate the total energy (E) stored in the battery using the equation:E = Total Charge (in Coulombs) × Voltage (in Volts)E = 100 C × 12 V = 1200 JoulesSo, the total energy stored in the 12V-50 Ampere-hour battery is 1200 Joules. The total energy stored in the 12V-50 Ampere-hour battery is 1200 Joules.
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