R = 1/[1/2 + 1/4 + 1/6 + 1/10]
Add up the reciprocals of the resistances, and take the reciprocal of the answer.
Always less then the lowest resistor value.
Calculate: 1/R = 1/ra + 1/ rb +1/rc +1/rd
ie. 1/R = (1/2) + (1/4) + (1/6) + (1/10)
= 0.5000 + 0.2500 + 0.1667 + 0.1000
= 1.0167
So R = 1 / 1.0167 = 0.9836 ohm
It's the reciprocal of the sum of 1/3, 1/6, 1/10, and 1/30.
(1/3) + (1/6) + (1/10) + (1/30) =
(10/30) + (5/30) + (3/30) + 1/30) = (19/30)
So the net effective resistance is (30/19) ohms.
The idea is to use the formula: 1/R = 1/R1 + 1/R2 + 1/R3..., which is simple and fairly easy to remember.
In other words:
1) Calculate the reciprocal of each resistance.
2) Add those reciprocals up.
3) Take the reciprocal of the result in step (2), to get the equivalent (or total) resistance.
Quick check: the final result should be less than any of the individual resistances.
The total resistance of a 30 ohm resistor in parallel with a 20 ohm resistor is 12 ohms.
1 / (1/30 + 1/20)
9 ohms.
It is as simple as adding the resistance together.
However, if they were inparallel, you would need to use ohms law.
2 ohms. (3*6)/(3+6)
1/(1/70 + 1/40 + 1/30) = 13.778
The total resistance would be 40 ohm.
No such resistor exists. Any resistor placed in parallel with a 6.0 ohm resistor is going to reduce the combined resistance below 6.0 ohms.
Rt = 10
It depends on the resistance of each resistor. If each resistor, for example, is 0.333 ohm, then you could connect them in series. If each resistor, for example, is 3 ohms, then you could connect them in parallel.
30 ohms.
2
The total resistance would be 40 ohm.
Two resistors connected in parallel are 1/2 the sum of their resistance. The resistance of two resistors connected in series is the sum of their resistance. For example: The total resistance of a 100 ohm resistor connected to a 200 ohm resistor in parallel is 100+200 divided by 2 = 150 ohms. The total resistance of a 100 ohm resistor connected to a 200 ohm resistor in series 100+200= 300 ohms.
A 100 ohm, 3000 ohm, and 10000 ohm resistor in parallel has a total resistance of 95.8 ohms. RParallel = 1 / Summationi=1toN (1 / Ri)
No such resistor exists. Any resistor placed in parallel with a 6.0 ohm resistor is going to reduce the combined resistance below 6.0 ohms.
Rt = 10
It depends on the resistance of each resistor. If each resistor, for example, is 0.333 ohm, then you could connect them in series. If each resistor, for example, is 3 ohms, then you could connect them in parallel.
Make one resistor parallel with 5 resistors which are in series.
30 ohms.
connect 2 2ohm resistors in parallel and connect it to a series 2ohm resistor
If two 1-ohm resistors are connected in parallel, their resistance is 0.5 ohms. If they are connected in series, their resistance is 2 ohms. It is not possible to connect only two resistors in series parallel.
10 Ohms.