Solved Examples on Resistors in Series and Parallel Combinations
Example 1: Three resistances of 3, 5, and 10 ohms are connected in series. Find the equivalent resistance for the system.
Solution:
The formula for series resistance is given by,
R = R1 + R2 + R3
Given: R1 = 3, R2 = 5 and R3 = 10
Substituting these values in the equation,
R = R1 + R2 + R3
R = 3 + 5 + 10
R = 18 Ω
Example 2: Three resistances of 2, 2, and 4 ohms are connected in parallel. Find the equivalent resistance for the system.
Solution:
The formula for parallel resistance is given by,
Given: R1 = 2, R2 = 2 and R3 = 4
Substituting these values in the equation,
Ω
Example 3: Find the equivalent resistance for the system shown in the figure below.
Solution:
The formula for parallel resistance is given by,
And the formula for series resistance is given by,
R = R1 + R2 + R3 + ….
This is combination of both parallel and series resistances.
Substituting these values in the equation,
R1 = 10 Ω, R2 = 2.5 Ω
R= R1 + R2
R = 10 + 2.5
R = 12.5
R = 10 Ω
Example 4: Find the equivalent resistance for the system shown in the figure below.
Solution:
The formula for parallel resistance is given by,
And the formula for series resistance is given by,
R = R1 + R2 + R3 + ….
This is combination of both parallel and series resistances.
Substituting these values in the equation,
R1 = 8 Ω, R2 = 16 Ω
R= R1 + R2
R = 8 + 16
R = 24
R = 24 / 7 Ω
Example 5: Find the equivalent resistance for the system shown in the figure below.
Solution:
The formula for parallel resistance is given by,
And the formula for series resistance is given by,
R = R1 + R2 + R3 + …
The circuit in above diagram has both type of combination
Substituting these values in the parallel combination,
R1 = 20 Ω, R2 = 20 Ω
R = 10
R = R1 + R2
R = 10 + 5
R = 15 Ω
Resistors in Series and Parallel Combinations
Resistors are devices that obstruct the flow of electric current in the circuit. They provide the hindrance to the path of the current which flows in the circuit. Resistors consume the current in any circuit and convert them to other forms of energy as required. Various resistors can be added to the circuits as per our requirements. Two or more resistors can easily be added in particular sequences. The addition of resistors can be achieved using any of the two methods i.e. Series Combination and Parallel Combination. In this article, we will learn about the arrangement of Resistors in Series and Parallel combinations and others in detail.
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