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If a 6 V battery produces 12 A of current in a circuit, what is the resistance in the circuit?

A. 25 Ω
B. 0.50 Ω
C. 72 Ω
D. 0.20 Ω

Answer :

To find the resistance in the circuit, you can use Ohm's Law. Ohm's Law states that the voltage (V) across a resistor is equal to the current (I) flowing through the resistor multiplied by the resistance (R) of the resistor. This can be written as:

[tex]\[ V = I \times R \][/tex]

Given:
- Voltage ([tex]\( V \)[/tex]) = 6 volts
- Current ([tex]\( I \)[/tex]) = 12 amperes

We need to find the resistance ([tex]\( R \)[/tex]). To do this, we rearrange Ohm's Law to solve for [tex]\( R \)[/tex]:

[tex]\[ R = \frac{V}{I} \][/tex]

Substitute the given values into the equation:

[tex]\[ R = \frac{6 \text{ volts}}{12 \text{ amperes}} \][/tex]

Perform the division:

[tex]\[ R = 0.5 \text{ ohms} \][/tex]

So, the resistance in the circuit is 0.5 ohms. Among the given answer choices, the correct one is:

Ο 0.50

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