We have n identical resistors, call them R1, R2 etc up to Rn. All have resistance R.
Resistance of the whole circuit
= 1/(1/R1 + 1/R2 + ... + 1/Rn)
= 1/(n*(1/R))
= 1/(n/R)
= R/n
So it's the resistance of one resistor, divided by the number of resistors.
What do you mean by a 'parallel delta' circuit -is there such a connection.
The ratio of current flow through individual branches of a parallel circuit is inversely proportional to the ratio of resistance of each branch.
Consider t resistors with same Ohmic values. If they are in series total resistance Rt = R1 + R2. if they are in parallel then total resistance Rt = 1/R1 + 1/R2. Series connection will have higher resistance.
Not sure what you mean. The equivalent (total) resistance in a parallel circuit is less than any individual resistance.
If the parallel resistors are equal, then the total resistance (in this case, with three resistors) will decrease by a factor of 3. I suggest you verify this with the standard formula for parallel resistance: 1/R = 1/R1 + 1/R2 + 1/R3, replacing the value 30 for R1, R2, and R3, and calculating R, the combined resistance.
The total resistance of resistors in series is simply the sum of the resistance values of those resistors. If the resistors are identical, then you can multiply the resistance of one of them by the number of resistors in the circuit.
What do you mean by a 'parallel delta' circuit -is there such a connection.
What do you mean? In a parallel circuit, the combined (or effective) resistance is less than any individual resistance.
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.
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)
This happens because the total parallel resistance is lower than the individual resistors that make up the group of parallel resistors. When you add another parallel load, the resistance of that parallel group lowers and as result increases the current for the rest of the circuit.
Resistors connected in parallel have the same voltage across them, while resistors connected in series have the same current passing through them. In a parallel configuration, the total resistance decreases as more resistors are added, while in a series configuration, the total resistance increases.
The equivalent resistance is the overall effect all of the resistances in a circuit has. Put another way, it is the value a single resistor in a circuit would have to be in order to have the same effect as all of the resistors resistors combined in a given circuit.
The supply voltage in a parallel circuit remains the same regardless of the number of additional resistors connected. The voltage across each resistor in a parallel circuit is the same as the supply voltage. Adding more resistors in parallel will increase the total current drawn from the supply.
When resistors are connected in parallel to the same voltage source, the overall resistance in the circuit decreases. This is because the current has multiple paths to flow through, reducing the total resistance that the current encounters.
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.
You raise the total resistance by that amount if added in series to a circuit. If you add them in parallel to a circuit then that total resistance will be less than the total of the added circuit.