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What resistance is needed in a 220-volt circuit to limit the current to 2 amps?

  1. 55 ohms

  2. 110 ohms

  3. 30 ohms

  4. None of the above

The correct answer is: 110 ohms

To determine the resistance needed to limit the current to 2 amps in a 220-volt circuit, we can use Ohm's Law, which states that Voltage (V) equals Current (I) multiplied by Resistance (R). This can be expressed with the formula: \[ R = \frac{V}{I} \] Where: - V is the voltage in volts (220 volts), - I is the current in amps (2 amps), - R is the resistance in ohms. Plugging the values into the formula gives: \[ R = \frac{220 \text{ volts}}{2 \text{ amps}} = 110 \text{ ohms} \] This calculation shows that a resistance of 110 ohms is necessary to limit the current to 2 amps in a 220-volt circuit. This is consistent with Ohm's Law, which is fundamental to understanding how voltage, current, and resistance interact in electrical circuits. Therefore, the correct answer reflects a solid understanding of these principles and accurately applies the formula to find the corresponding resistance.