The correct answer is option 'A': they draw more current which is inversely proportional to the voltage.

Explanation:
When an electronic motor operates at a low voltage, it tends to draw more current. This is due to Ohm's Law, which states that the current flowing through a conductor is directly proportional to the voltage and inversely proportional to the resistance.

Here's a detailed explanation of why electronic motors operating at low voltages tend to burn out:

1. Ohm's Law: Ohm's Law states that the current (I) flowing through a conductor is directly proportional to the voltage (V) and inversely proportional to the resistance (R). Mathematically, this can be represented as I = V/R.

2. Increased current: When the voltage applied to an electronic motor is reduced, the resistance of the motor remains constant. As per Ohm's Law, if the voltage decreases, the current flowing through the motor will increase proportionally. This is because the resistance of the motor does not change, but the voltage is reduced, leading to a higher current flow.

3. Overheating: When a motor draws more current than it is designed for, it can lead to overheating. The increased current causes increased heat generation within the motor. This excess heat can damage the motor's components, such as the winding insulation, bearings, and other sensitive parts.

4. Burnout: If the motor continues to operate at a low voltage for an extended period, the excessive heat generated can eventually cause the motor to burn out. The insulation of the motor windings can melt or degrade, resulting in a short circuit or open circuit. This can lead to a complete failure of the motor and render it unusable.

5. Voltage regulation: To prevent burnout and ensure the safe operation of electronic motors, it is important to provide the motor with the correct voltage. This can be achieved by using voltage regulation techniques such as transformers or voltage stabilizers. These devices maintain a constant voltage supply to the motor, preventing excessive current flow and overheating.

In conclusion, electronic motors operating at low voltages tend to burn out because they draw more current, which is inversely proportional to the voltage. This increased current leads to overheating and can eventually cause the motor to burn out. It is important to provide the motor with the correct voltage to prevent such issues and ensure its safe and efficient operation.