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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

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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): I=Qt I = \frac{Q}{t} Where:

  • Q Q is the charge in coulombs (C)
  • t t is time in seconds (s)

2. Relevant Concepts

We need to convert the time from minutes to seconds: 4 minutes=4×60 seconds=240 seconds 4 \text{ minutes} = 4 \times 60 \text{ seconds} = 240 \text{ seconds}

3. Analysis and Detail

Now we can substitute the values into the formula:

  • Q=1200 C Q = 1200 \text{ C}
  • t=240 s t = 240 \text{ s}

Now we calculate the current: I=1200 C240 s=5 A I = \frac{1200 \text{ C}}{240 \text{ s}} = 5 \text{ A}

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).

This problem has been solved

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