Series Parallel Combination Circuit Problems With Solution Pdf

A series parallel combination circuit is a circuit that contains both series and parallel circuit elements. These circuits are commonly used in electronic devices and electrical systems. A series circuit is a circuit in which the components are connected one after the other, whereas a parallel circuit is a circuit in which the components are connected side by side. In a series-parallel combination circuit, some components are connected in series while others are connected in parallel. This article will discuss series parallel combination circuit problems with solutions in pdf format.

What is a Series Parallel Combination Circuit?

Series elements have only one path for current flow, while parallel elements have multiple paths for current flow. The total resistance of series elements is the sum of the individual resistances, while the total resistance of parallel elements is calculated using the reciprocal of the individual resistances.

Series parallel combination circuits are used in many different applications. For example, in a car's electrical system, the battery, starter, and alternator are connected in series, while the lights, radio, and other accessories are connected in parallel. Understanding series parallel combination circuits is essential for anyone working in the electrical or electronic industries.

Series Parallel Combination Circuit Problems With Solution Pdf

Here are some series parallel combination circuit problems with solutions in pdf format:

Problem 1

Calculate the total resistance of the following circuit:

Solution:

Step 1: Calculate the total resistance of the resistors in parallel, R_p:

R_p = (1/4 + 1/6 + 1/8)^-1

R_p = (0.25 + 0.1667 + 0.125)^-1

R_p = 3.857 ohms

Step 2: Add the total resistance of the resistors in series, R_s:

R_s = 10 + 3.857

R_s = 13.857 ohms

Therefore, the total resistance of the circuit is 13.857 ohms.

Problem 2

Calculate the total current of the following circuit:

Related PDF

Solution:

Step 1: Calculate the total resistance of the resistors in parallel, R_p:

R_p = (1/6 + 1/12)^-1

R_p = (0.1667 + 0.0833)^-1

R_p = 6 ohms

Step 2: Add the total resistance of the resistors in series, R_s:

R_s = 6 + 4

R_s = 10 ohms

Step 3: Calculate the total current, I:

I = V/R

I = 20/10

I = 2 amps

Therefore, the total current of the circuit is 2 amps.

Conclusion

Series parallel combination circuits are commonly used in electronic devices and electrical systems. These circuits are made up of both series and parallel elements, which create different paths for current flow. Understanding series parallel combination circuits is essential for anyone working in the electrical or electronic industries. The above series parallel combination circuit problems with solutions in pdf format can help students and professionals improve their understanding of these circuits.