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How long 2 ampere of current is passed t...

How long 2 ampere of current is passed to supply 7200C of charge?

A

1hr

B

10hr

C

15hr

D

20hr.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of how long a current of 2 amperes is passed to supply 7200 coulombs of charge, we can follow these steps: ### Step 1: Understand the relationship between charge, current, and time. The relationship is given by the formula: \[ Q = I \times t \] Where: - \( Q \) is the charge in coulombs (C), - \( I \) is the current in amperes (A), - \( t \) is the time in seconds (s). ### Step 2: Identify the given values. From the question, we have: - \( Q = 7200 \, \text{C} \) - \( I = 2 \, \text{A} \) ### Step 3: Rearrange the formula to solve for time. We need to find \( t \), so we rearrange the formula: \[ t = \frac{Q}{I} \] ### Step 4: Substitute the known values into the formula. Now we substitute the values of \( Q \) and \( I \): \[ t = \frac{7200 \, \text{C}}{2 \, \text{A}} \] ### Step 5: Calculate the time. Perform the division: \[ t = \frac{7200}{2} = 3600 \, \text{s} \] ### Step 6: Convert seconds to hours. Since the question may require the answer in hours, we convert seconds to hours: 1 hour = 3600 seconds, so: \[ t = \frac{3600 \, \text{s}}{3600 \, \text{s/hour}} = 1 \, \text{hour} \] ### Final Answer: The time taken to supply 7200 coulombs of charge with a current of 2 amperes is **1 hour**. ---

To solve the problem of how long a current of 2 amperes is passed to supply 7200 coulombs of charge, we can follow these steps: ### Step 1: Understand the relationship between charge, current, and time. The relationship is given by the formula: \[ Q = I \times t \] Where: - \( Q \) is the charge in coulombs (C), - \( I \) is the current in amperes (A), ...
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