Solved Examples on Parallel Circuit
Find the total resistance of the parallel circuit in which the resistances of resistors R1, R2 and R3 are 10Ω, 15Ω and 20Ω respectively.
The total resistance of parallel circuit is calculated by the formula:
R = (R1 × R2 × R3) / (R1 + R2 + R3)
R = (10 × 15 × 20) / (10 + 15 + 20)
R = 3000 / 45
R = 66.67 Ω
Total resistance of given parallel circuit is 66.67 Ω.
Find the resistance of resistor R1 if the resistance of R2 is given as 18Ω and total resistance of the parallel circuit is given as 15Ω.
The total resistance of parallel circuit is calculated by the formula:
1/R = [1/R1 + 1/R2]
1/15 = [1/R1 + 1/18]
1/R1 = 1/15 – 1/18
1/R1 = 3 / (15 × 18)
R1 = 90 Ω
The resistance of resistor R1 is 90 Ω.
Total Resistance in a Parallel Circuit
The total resistance in a parallel circuit is obtained by taking the reciprocal of the sum of the reciprocals of the resistances of all the resistors connected in parallel. A parallel circuit is one of the important electric circuits. In a parallel circuit, the voltage is similar for all the components connected in parallel but the current flowing through the components is different.
In this article we will discuss the total resistance in a parallel circuit, the total resistance in parallel circuit formulas, and the advantages, disadvantages, and applications of parallel circuits. We will also solve some examples related to the total resistance in parallel circuits. Let’s start learning on the topic “Total Resistance in a Parallel Circuit”.
Table of Content
- Resistance
- Parallel Circuit
- Total Resistance in a Parallel Circuit
- Formulas
- Solved Examples
- Advantages and Disadvantages
- Applications