In a parallel circuit with resistors R1= 4 ohms and R2= 6 ohms, what is the total current if 24 volts is applied?

• A. 8
• B. 10
• C. 12
• D. 14

Answer: (B)

To find the total current in a parallel circuit with the resistors R1 and R2, we first need to determine the equivalent resistance. In a parallel circuit, the formula for equivalent resistance (R_eq) is given by:

[

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

]

For the given resistors:

[

\frac{1}{R_{eq}} = \frac{1}{4} + \frac{1}{6}

]

To calculate this, we need to find a common denominator, which in this case is 12:

[

\frac{1}{4} = \frac{3}{12} \quad \text{and} \quad \frac{1}{6} = \frac{2}{12}

]

Adding these together gives:

[

\frac{1}{R_{eq}} = \frac{3}{12} + \frac{2}{12} = \frac{5}{12}

]

Now, to find R_eq, we take the reciprocal:

[

R_{eq} = \frac{12}{5} \text{ ohms