A generator supplies a current of 26 amps to three motors arranged in parallel. If the resistances of the motors are 24, 36, and 48 ohms respectively, what current is supplied to the motor with 24 ohms resistance?

To determine the current supplied to the motor with 24 ohms of resistance in a parallel circuit, it is essential to use Ohm's Law and the concept of current division. In a parallel circuit, the voltage across each component (in this case, each motor) is the same, and the total current supplied by the generator is divided among the parallel branches according to the resistance of each branch.

First, we need to find the equivalent resistance of the three motors arranged in parallel. The formula for calculating equivalent resistance ( R_{eq} ) in parallel is given by:

[

\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}

]

Substituting the values for the resistances:

[

\frac{1}{R_{eq}} = \frac{1}{24} + \frac{1}{36} + \frac{1}{48}

]

To combine these fractions, it is helpful to find a common denominator, which would be 144 in this case:

• The term for 24 ohms becomes ( \frac{6}{144} )

• The