Chapter 6, Problem 1RQ

A series circuit has individual resistor values of $200\text{Ω},86\text{Ω},91\text{Ω},180\text{Ω},\text{ and 150 }\text{Ω}$. What is the total resistance of the circuit?

To determine

Total resistance of the series circuit

Answer to Problem 1RQ

The total resistance of the series circuit is 707 Ω.

Explanation of Solution

Description:

In a series circuit, the current flow has only one path. Hence, the total resistance offered to the flow of current is equal to the sum of each individual resistance in the circuit.

According to the given data, there are five individual resistances present in the series circuit. These may be designated as,

• R₁ = 200 Ω

• R₂ = 86 Ω

• R₃ = 91 Ω

• R₄ = 180 Ω

• R₅ = 150Ω

The total resistance R_T may be calculated as,

R_T = R₁+R₂+R₃₊R₄+R₅

= 200 Ω +86Ω +91Ω +180Ω +150Ω

= 707 Ω

Conclusion:

Hence, the total resistance of the series circuit is 707 Ω.