# Parallel Circuit Elements

## Introduction

Circuit elements are said to be connected in parallel if all of the elements share the same pair of nodes. An example of two circuit elements connected in parallel is shown in Fig. 1. Applying KVL around the loop of Fig. 1 results in:

(1)

${{\rm{V}}_1} = {{\rm{V}}_2}$

This result is so common that equation (1) is generally written by inspection for parallel elements such as those shown in Fig. 1 without explicitly writing KVL.

#### Note:

Parallel circuit elements share the same voltage. Elements in parallel can be recognized in two ways:

• If multiple elements are connected to the same pair of nodes, the elements are in parallel.
• If applying KVL around a loop results in the conclusion that the voltages in two elements are identical, the elements are in parallel.

1. List which of the elements in the circuit below are in parallel.
2. List which of the elements in the circuit below are in parallel.
3. List which of the elements in the circuit below are in parallel.
4. List which of the elements in the circuit below are in parallel.