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50-f the battery produced 12.6 Volts and there was a 6 Ohm resistor, what would be the current?1 point2.1 Amps2.4 Amps1.71 Amps15 Amps

Question

If the battery produced 12.6 Volts and there was a 6 Ohm resistor, what would be the current?

  1. 2.1 Amps
  2. 2.4 Amps
  3. 1.71 Amps
  4. 15 Amps
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Solution

1. Break Down the Problem

We need to calculate the current flowing through a 6 Ohm resistor when a battery supplies 12.6 Volts.

2. Relevant Concepts

We can use Ohm's Law, which states that: I=VR I = \frac{V}{R} where:

  • I I = Current (in Amperes)
  • V V = Voltage (in Volts)
  • R R = Resistance (in Ohms)

3. Analysis and Detail

Given:

  • V=12.6Volts V = 12.6 \, \text{Volts}
  • R=6Ohms R = 6 \, \text{Ohms}

Substituting the values into the formula: I=12.6Volts6Ohms I = \frac{12.6 \, \text{Volts}}{6 \, \text{Ohms}}

Calculating: I=2.1Amps I = 2.1 \, \text{Amps}

4. Verify and Summarize

The calculated current flowing through the resistor is 2.1 Amps. This corresponds with Ohm's Law correctly applied.

Final Answer

The current is 2.1 Amps.

This problem has been solved

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