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Question

I have a circuit in which the battery can provide a potential difference of 12V and a small motor that can handle a maximum potential difference of 6 volts. In order to get the desired voltage, I would connect a resistor in parallel with the motor, and connect that combination to the terminals of the battery. The motor will work fine without any damage. State True or False.

A
True
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B
False
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Solution

The correct option is B False
When two or more resistances are connected in parallel, the potential difference across the resistors is the same.

In this case, the potential difference between R1 and R2 would be 12V.
When the motor is connected in parallel with a resistor and the combination is connected to the terminals of the battery, the potential difference across the motor would be 12V. Since the motor can handle a maximum potential difference of 6V, this connection would destroy the motor.

Note: If we connect a resistor in series with the motor, the motor would work fine, only if the resistance of the resistor is greater than or equal to the resistance of the motor.

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