A 10-ohm resistor has a constant current. If 1200 C of charge flow through it in 4 minutes whatis the value of the current?A. 3.0 AB. 5.0 AC. 11 AD. 15 AE. 20 A
Question
A 10-ohm resistor has a constant current. If 1200 C of charge flow through it in 4 minutes what is the value of the current?
Options:
A. 3.0 A
B. 5.0 A
C. 11 A
D. 15 A
E. 20 A
Solution
1. Break Down the Problem
To find the current (I), we can use the formula that relates charge (Q), current (I), and time (t): Where:
- is the charge in coulombs (C)
- is time in seconds (s)
2. Relevant Concepts
We need to convert the time from minutes to seconds:
3. Analysis and Detail
Now we can substitute the values into the formula:
Now we calculate the current:
4. Verify and Summarize
After substituting the values correctly into the formula and performing the division, we have verified that the calculation is accurate. The current flowing through the resistor is 5 A.
Final Answer
The value of the current is 5.0 A (Option B).
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