For how long 2.5 ampere of current is passed to supply 54000C of charge?

Options

A. 1hr
B. 2.5hr
C. 6hr
D. 9 hr.

Explanation

To solve the problem of how long a current of 2.5 amperes is passed to supply 54000 coulombs of charge, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Current (I) = 2.5 A (amperes)
- Charge (Q) = 54000 C (coulombs)

2. **Use the relationship between charge, current, and time**:
The relationship is given by the formula:
\[ Q = I \times T \]
Where:
- Q = charge in coulombs
- I = current in amperes
- T = time in seconds

3. **Rearrange the formula to solve for time (T)**:
\[ T = \frac{Q}{I} \]

4. **Substitute the known values into the equation**:
\[ T = \frac{54000 \, \text{C}}{2.5 \, \text{A}} \]

5. **Calculate the time in seconds**:
\[ T = \frac{54000}{2.5} = 21600 \, \text{seconds} \]

6. **Convert seconds into hours**:
Since 1 hour = 3600 seconds, we convert seconds to hours:
\[ T = \frac{21600 \, \text{seconds}}{3600 \, \text{seconds/hour}} = 6 \, \text{hours} \]

### Final Answer:
The time for which a current of 2.5 amperes is passed to supply 54000 coulombs of charge is **6 hours**.