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In a simple electric circuit, a 24-ohm resistor is connected across a 6.0-volt battery. What is the current in the circuit?A 0.25 AB 1.0 AC 4.0 AD 144 A

Question

In a simple electric circuit, a 24-ohm resistor is connected across a 6.0-volt battery. What is the current in the circuit?

A) 0.25 A
B) 1.0 A
C) 4.0 A
D) 144 A

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Solution

1. Break Down the Problem

We need to find the current flowing through a circuit with a known voltage and resistance. The given values are:

  • Voltage (V) = 6.0 volts
  • Resistance (R) = 24 ohms

2. Relevant Concepts

Ohm's Law is applicable here, which states: I=VR I = \frac{V}{R} where:

  • I I is the current in amperes (A),
  • V V is the voltage in volts (V),
  • R R is the resistance in ohms (Ω).

3. Analysis and Detail

Using the values: I=6.0V24Ω I = \frac{6.0\, \text{V}}{24\, \Omega}

Now, performing the calculation: I=6.024=0.25A I = \frac{6.0}{24} = 0.25 \, \text{A}

4. Verify and Summarize

The calculation confirms that the current flowing through the circuit is indeed 0.25A 0.25 \, \text{A} .

Final Answer

The current in the circuit is 0.25 A (Option A).

This problem has been solved

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