# Electric Circuit: Total Resistance Calculation

## What is the total resistance value of a circuit containing a 10 Ω resistor, a 50 Ω resistor, and an 80 Ω resistor connected in parallel?

Choose the correct option:

a. 7.55 Ω

b. 0.13 Ω

c. 140 Ω

d. 75 Ω

## Answer:

The correct total resistance value for the given circuit is 7.55 Ω.

When dealing with electric circuits, it is essential to understand how to calculate the total resistance in a parallel circuit. In this scenario, the circuit is composed of three resistors with resistances of 10 Ω, 50 Ω, and 80 Ω respectively.

The total resistance (Rt) in a parallel circuit is determined by the formula: 1/Rt = 1/R1 + 1/R2 + 1/R3, where R1, R2, and R3 are the individual resistances. By applying this formula to the given resistances, we find that the total resistance is approximately 7.55 Ω.

This calculation ensures that when testing the circuit with a digital vom, the correct total resistance value to be read is 7.55 Ω. Understanding how to calculate total resistance in parallel circuits is crucial for accurate circuit analysis and troubleshooting.