Internet of Things (IoT) Practice Exam

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What resistance is required for a DC motor to operate at full speed with a current of 10 Amperes and a supply of 12 Volts?

12 ohms
120 ohms
1.2 ohms
0.12 ohms

The correct answer is: 1.2 ohms

To determine the resistance required for a DC motor to operate at full speed with given parameters, we can use Ohm's Law, which states that Voltage (V) = Current (I) × Resistance (R). In this case, the motor operates at a supply voltage of 12 Volts and draws a current of 10 Amperes. Rearranging the formula to solve for resistance gives us: Resistance (R) = Voltage (V) / Current (I). Substituting in the values we have: R = 12 V / 10 A = 1.2 ohms. Thus, the correct resistance for the motor to operate under these conditions is indeed 1.2 ohms. This indicates that at this resistance, the motor would draw 10 Amperes of current from a 12 Volt supply, allowing it to function at full speed. Identifying such parameters is crucial in electrical engineering, especially in the context of ensuring that components operate efficiently and safely within their specified ranges.