Series and Parallel Circuits

Q.1: Why is the voltage drop across each resistor the same in the case of a parallel resistor?

Answer:

In case of parallel circuits, the end points of each resistor is at same potential to that of the input voltage. This is the reason why potential drop across each resistor is same in case of parallel circuits.

Q.2: What is the formula for equivalent resistance in the case of series and parallel circuits?

Answer:

For a series circuit: Req = R1 + R2 + R3 + ….. + Rn For a parallel circuit: 1/Req = 1/R1 + 1/R2 +1/R3 + …… + 1/Rn

Q.3: Will the concept change if other circuit elements like capacitors and inductors are connected along with resistors?

Answer:

If Inductors and Capacitors are connected along with resistors, the behaviour of current will not change. But instead of calculating equivalent resistance, we need to calcuate the total impedance of the circuit. The following formulas are helpful: Reactance of capacitor (XC) = 1/(2fC) Reactance of inductor (XL) = 2fL Total Impedance (Z) = sqrt( R2 + (XL – XC)2 )



What is the Difference Between Series and Parallel Circuits?

To understand the difference between series and parallel circuits, let us first define what a circuit is.

An electric circuit is defined as a closed loop of conducting elements through which current can flow. An electric circuit basically consists of the following components:

  • Voltage or a Current source
  • Connecting wires
  • Elements like Resistors, Capacitors, Inductors, transistors, diodes, etc.

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What Makes a Circuit Series or Parallel?

A series or a parallel circuit is determined by the arrangement of the circuit elements and the flow of current in that circuit....

Differences between Series and Parallel Circuits

Criteria Series Parallel Voltage Drop Different across each element Same across each element Current Same through each element Different through each element Resistance Total Resistance = R1 + R2 + R3 + …. Rn 1/Total Resistance = 1/R1 + 1/R2 + …..1/Rn Fault If any element fails, currents stop flowing in the whole circuit If an element fails, current stops flowing in that particular branch only....

Sample Problems

Q.1: In the following circuit diagram, determine the magnitude of current and voltage drop in each resistor....

FAQs on Series and Parallel Circuits

Q.1: Why is the voltage drop across each resistor the same in the case of a parallel resistor?...