48 ampere-hour capacity would deliver a current of

Question

Examoogle · Accepted Answer

$6 	ext{ A}$ for $8 	ext{ hours}$

Explanation: The capacity of a battery in Ampere-hours (Ah) is the product of the discharge current in Amperes and the time in hours for which the current is supplied. Mathematically, it represents the total charge storage capacity, where $Q = I 	imes t$.

Working Principle: A battery's capacity is defined as the amount of electric charge it can deliver until its terminal voltage drops below a specified cut-off level. For a 48 Ah battery, the product of current (I) and time (t) must equal 48 Ah. In option D, $6 	ext{ A} 	imes 8 	ext{ h} = 48 	ext{ Ah}$, which satisfies the capacity rating.

Key Formulas: $C = I 	imes t$ — where C is capacity in Ampere-hours, I is current in Amperes, and t is time in hours.

Key Points: Ampere-hour (Ah) is a unit of electric charge.; Battery capacity indicates how long a battery can sustain a specific load.; Discharge rates are inversely proportional to time for a fixed capacity.

Advantages: Provides a standardized metric for battery life.; Allows calculation of runtime under variable loads.

Disadvantages: Does not account for Peukert's effect (capacity decreases at higher discharge rates).; Does not represent actual energy (Watt-hours) without considering voltage.

Applications: Sizing batteries for UPS and inverters.; Determining runtime for mobile electronic devices.

Additional Info: Option A: 48 A × 1 h = 48 Ah (Correct result, but D is also listed as 48 Ah).. Option B: 24 A × 2 h = 48 Ah.. Option C: 8 A × 6 h = 48 Ah.. Option D: 6 A × 8 h = 48 Ah.. Note: In many competitive exam contexts, multiple options may mathematically equal the target; however, examinees should select the best fit as per the provided answer key.

Answer: D is correct — The product of 6 A and 8 hours equals the rated capacity of 48 Ah.

Exam Tip: Always verify if the question implies a specific discharge rate context, as internal resistance causes real-world capacity to vary with load current (Peukert's Law).

Related Questions

Discussion (0)