There are so many advantage of parallel and series combination of resistors like if you need resistors with certain values and you have no resistors with enough values then you can create the one you need by connecting several parallel of those you have.
The usual problem here is to find the equivalent resistance, or capacitance. In the following formulae, R is the value of the equivalent resistance, while R1, R2, and R3 are the values of the individual resistances.
For resistors in series, just add up the resistances: R = R1 + R2 + R3...
For resistors in parallel, use the formula 1/R = 1/R1 + 1/R2 + 1/R3... (in the case of two resistances, you can also use the equivalent product-over-sum formula: R = R1 x R2 / (R1 + R2).
For capacitors, the situation reverses. Capacitances in series are calculated like resistors in parallel, i.e., 1/C = 1/C1 + 1/C2..., while capacitances in parallel are calculated like resistances in series.
To find equivalent resistance when you have both parallel and series resistors, start simple and expand... Find the smallest part of the circuit, such as a pair of resistors in series or a pair of resistors in parallel, and compute the equivalent single resistor value. Repeat that process, effectively covering more and more of the circuit, until you arrive at a single resistance that is equivalent to the circuit. For resistors in series: RTOTAL = R1 + R2 For resistors in parallel: RTOTAL = R1R2/(R1+R2)
A resistance 'network' consists of a number of resistors connected together in series, or in parallel, or in series-parallel, or as a complex circuit. A 'complex' circuit is one that is not series, parallel, or series-parallel.
Yes, but then it would be a 'series-parallel' circuit, not a 'parallel' circuit!
Resistors in series add resistance to an electrical circuit. For instance two 1 ohm resistors in series will have 2 ohms of resistance. Resistors in parallel divide the resistance between them. Thus two 2 ohm resistors in parallel will have 1 ohms total resistance. resistors of different sizes work the same way. a 4 ohm and 2 ohm resistor in series have 6 ohms resistance. While in parallel they will have .75 ohm resistance. resistance formulas: series: Req = r1+r2+r3....+rx parallel: Req = 1/r1 + 1/r2 + 1/r3 ..... +1/rx
You can connect 4 resistors in series-parallel, i.e. two in series, both in parallel with another two, and the effective resistance would be the same as one resistor. Similarly, you can connect nine resistors in 3x3 series-parallel, or 16 resistors in 4x4 series-parallel, etc. to get the same resistance of one resistor.
parallel combination of resistors are used in house circuits
To find equivalent resistance when you have both parallel and series resistors, start simple and expand... Find the smallest part of the circuit, such as a pair of resistors in series or a pair of resistors in parallel, and compute the equivalent single resistor value. Repeat that process, effectively covering more and more of the circuit, until you arrive at a single resistance that is equivalent to the circuit. For resistors in series: RTOTAL = R1 + R2 For resistors in parallel: RTOTAL = R1R2/(R1+R2)
When resistors are wired in series, their resistances are added to find the total resistance. If they are run in parallel, or series-parallel, the formula is different
yes two resistors can connect both in series and parallel because when you connect two resistors in a closed loop, the same intensity of current flows across them and also they are connected to the same nodes which are the conditions for series and parallel connections respectively.
A resistance 'network' consists of a number of resistors connected together in series, or in parallel, or in series-parallel, or as a complex circuit. A 'complex' circuit is one that is not series, parallel, or series-parallel.
A resistance 'network' consists of a number of resistors connected together in series, or in parallel, or in series-parallel, or as a complex circuit. A 'complex' circuit is one that is not series, parallel, or series-parallel.
No. What you are describing is a series-parallel circuit, not a parallel circuit.
Yes, but then it would be a 'series-parallel' circuit, not a 'parallel' circuit!
Capacitors in parallel are like resistors in series...CPARALLEL = C1 + C2RSERIES = R1 + R2Capacitors in series are like resistors in parallel...CSERIES = C1C2 / (C1 + C2)RPARALLEL = R1R2 / (R1 + R2)
2 ohms. It is like connecting two 3 ohm resistors in series and then these two series resistors are connected in parallel with third 3 ohm resistor in parallel
Two resistors in parallel are equivalent to a single component with a lower resistance than either of the pair. Two resistors in series are equivalent to a single component with a resistance equal to the sum of the pair, therefore a higher resistance. For a given potential difference, more current in total will flow through two resistors in parallel than through the same resistors in series.
You can connect 4 resistors in series-parallel, i.e. two in series, both in parallel with another two, and the effective resistance would be the same as one resistor. Similarly, you can connect nine resistors in 3x3 series-parallel, or 16 resistors in 4x4 series-parallel, etc. to get the same resistance of one resistor.