A battery has a capacity of 45 AH and is being charged by a current of 2.5 A. How long will it take to fully…

Question

A battery has a capacity of 45 AH and is being charged by a current of 2.5 A. How long will it take to fully charge the battery?

ScanSolve AI Tutor · Accepted Answer

To determine the time it takes to charge the battery fully, we use the relationship between charge capacity, current, and time.

Identify the given values.
The battery capacity (charge) is $Q = 45 \text{ AH}$ .
The charging current is $I = 2.5 \text{ A}$ .
Use the formula relating charge, current, and time.
The formula is:
$Q = I \times t$
where $Q$ is the charge in Ampere-hours (AH), $I$ is the current in Amperes (A), and $t$ is the time in hours (h).
Rearrange the formula to solve for time ( $t$ ).
$t = \frac{Q}{I}$
Substitute the given values into the formula and calculate the time.
$t = \frac{45 \text{ AH}}{2.5 \text{ A}}$ $t = 18 \text{ hours}$
The time it will take to charge the battery fully is 18 hours.

The final answer is $\text{D}$ .

A battery has a capacity of 45 AH and is being charged by a current of 2.5 A. How long will it take to fully charge the battery?