Questions: Find the total current (in amps) in the parallel circuit. (Enter your answer as a simplified mixed number.)

Solution Steps

The given currents in the parallel circuit are:

• \( \frac{3}{4} \) A
• \( \frac{1}{8} \) A
• \( \frac{1}{16} \) A

To find the total current \( I_T \), sum the individual currents: \[ I_T = \frac{3}{4} + \frac{1}{8} + \frac{1}{16} \]

The common denominator for 4, 8, and 16 is 16. Convert each fraction: \[ \frac{3}{4} = \frac{3 \times 4}{4 \times 4} = \frac{12}{16} \] \[ \frac{1}{8} = \frac{1 \times 2}{8 \times 2} = \frac{2}{16} \] \[ \frac{1}{16} = \frac{1}{16} \]

Add the fractions: \[ I_T = \frac{12}{16} + \frac{2}{16} + \frac{1}{16} = \frac{15}{16} \]

Final Answer