One way a multiple-speed ventilation fan for a car can bedesigned is to put resistors in series with the fan motor.The resistors reduce the current through the motor andmake it run more slowly. Suppose the current in the motoris 5.0 A when it is connected directly across a 12-V battery.(a) What series resistor should be used to reduce thecurrent to 2.0 A for low-speed operation? (b) What powerrating should the resistor have? Assume that the motor’sresistance is roughly the same at all speeds.

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One way a multiple-speed ventilation fan for a car can be
designed is to put resistors in series with the fan motor.
The resistors reduce the current through the motor and
make it run more slowly. Suppose the current in the motor
is 5.0 A when it is connected directly across a 12-V battery.
(a) What series resistor should be used to reduce the
current to 2.0 A for low-speed operation? (b) What power
rating should the resistor have? Assume that the motor’s
resistance is roughly the same at all speeds.

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