Difference Between Series and Parallel Circuits

Main Difference – Series vs. Parallel Circuits

Components in a circuit can be connected in series or in parallel. The main difference between series and parallel circuits is that, in series circuits, all components are connected in series so that they all share the same current whereas, in parallel circuits, components are connected in parallel so that they all have the same potential difference between them.

What are Series Circuits

In series circuits, there are no junctions between components. Then, according to the law of conservation of charge (Kirchoff’s first law), they have the same current flowing through them. If the circuit breaks at any point, current stops flowing through the circuit altogether.The following diagram shows a circuit, where three resistors are connected in series with the cell.

Difference Between Series and Parallel Circuits - Series Resistors.jpg

A Series Circuit

Resistors in Series

When resistors with resistances R_1,R_2,R_3,\cdots, R_N are connected in series, as shown above, the combined resistance R_{tot} is given by:

R_{tot}=R_1+R_2+R_3+\cdots +R_N

In series circuits, the power dissipated across a resistor is proportional to its resistance. Ammeters, which measure current, should have very little effect on the current. Therefore, they are made to have very small resistances and should e connected in series with the component.

Inductors in Series

When inductors with inductances L_1,L_2,L_3,\cdots, L_N are connected in series, the combined inductance L_{tot} is given by:

L_{tot}=L_1+L_2+L_3+\cdots +L_N

Capacitors in Series

When capacitors with capacitances C_1,C_2,C_3,\cdots, C_N are connected in series, the combined capacitance C_{tot} is given by:

\frac{1}{C_{tot}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}+\cdots +\frac{1}{C_N} 

What are Parallel Circuits

In parallel circuits, a loop can be traced between two components without encountering other components along the loop. Then, according to the law of conservation of energy (Kirchoff’s second law) they have the same potential difference across them. If one branch of the circuit breaks, the other branches can still function. In the following diagram, the resistors are connected in parallel:

Difference Between Series and Parallel Circuits_Parallel_Resistors

A Parallel Circuit

Resistors in Parallel

When resistors with resistances R_1,R_2,R_3,\cdots, R_N are connected in parallel, as shown above, the combined resistance R_{tot} is given by:

\frac{1}{R_{tot}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\cdots +\frac{1}{R_N}

When resistors are connected in parallel, the power dissipated across a resistor is inversely proportional to its resistance. Voltmeters, which measure potential differences, are always connnected in parallel to the components.

Inductors in Parallel

When inductors with inductances L_1,L_2,L_3,\cdots, L_N are connected in parallel, the combined inductance L_{tot} is given by:

\frac{1}{L_{tot}}=\frac{1}{L_1}+\frac{1}{L_2}+\frac{1}{L_3}+\cdots +\frac{1}{L_N}

Capacitors in Parallel

When capacitors with capacitances C_1,C_2,C_3,\cdots, C_N are connected in parallel, the combined capacitance C_{tot} is given by:

C_{tot}=C_1+C_2+C_3+\cdots +C_N

Difference Between Series and Parallel Circuits

Current

In series circuits, the current flowing through the components is the same.

In parallel circuits, the current flowing through each branch depends on the impedance of components in that branch.

Potential Difference

In series circuits, the magnitude of the potential difference across a component depends on the component’s impedance.

In parallel circuits, the magnitude of the potential difference across each component is the same.

Resistance/Inductance

In series circuits, the resistances/inductances of individual resistors/inductors add up, so that the total resistance/inductance is always greater than the largest resistance/inductance of an individual resistor/inductor.

In parallel circuits, the total resistance/inductance of resistors/inductors is always smaller than the smallest resistance/inductance of an individual resistor/inductor.

Capacitance

In series circuits, the total capacitance of capacitors is always smaller than the smallest capacitance of an individual capacitor.

In parallel circuits, the capacitance of individual capacitors add up, so that the total capacitance is always greater than the largest capacitance of an individual capacitor.

About the Author: Nipun


Related pages


polarity of alkenessubjective personal pronoundifference between a malt and a shakesigma bond and pi bond definitionwhat are autosomesdistinguish between classical and operant conditioningpronouns and possessive adjectivesdifference between a solute and a solventtax refund at sydney airportshort definition of alliterationdifference between capital and capitolkhakis meaningwhat is the difference between gum paste and fondantthe moral of the three little pigsdiurnal and nocturnal animalseubacteria habitattypes of maglev trainsbiennially definitionwhat is basil leaves called in hindicoronary heart disease vs coronary artery diseaseexamples of types of ironysome time versus sometimedefine vaporizedmicropyle functionprotoplasm definitiondifference between tone and mood in literaturephysical properties of alkaneswhat is the difference between microorganisms and macroorganismsdeist vs agnosticwhat is a redox titrationdefine apparent magnitudecomparison between unicellular and multicellular organismsmalleable materials examplesisopropyl alcohol or ethyl alcoholmeiosis and mitosis differenceswhat are the differences between crocodiles and alligatorsdefine subject and predicateapical meristem tissuewhat is the difference between bacteria and virusdifference between vowels and consonantsdmitri mendeleev constructed the first periodic table which isconsumer and producer surplus definitionpositive and normative statements economicsadmission and confessionabstract noun or a concrete nounthe difference between mandarin and cantoneseglycosidic bond in sucrosechromatid and chromosomedifference between alpha and beta glucosedifference between flour and all purpose flourpitbull vs american bulldogexamples of symbolism in literaturesni reaction definitionperimeter of a heptagondefine bosonsdiffusion passive transportpositive economics and normative economics definitiondialects definitiondifference between rights and freedomsaesthetic vs estheticschemas assimilation accommodationintramolecular forces vs intermolecular forcesconscious versus subconsciouschemoautotroph exampledefine assimilatingessential and nonessential amino acidnatural vs artificial sweetenerseubacteria vs archaebacteriatechnicolor tg797n v3 logindifference between centrifugal and centripetalfractional distillation and distillationwhat is the difference between twilight and dusksilky yorkiescoefficient of sliding friction definition3 examples of a pure substanceakron zippywhat is a caesura in poetryfunctions of rough and smooth erthe relationship between absorbance and transmittance