ANSWER
Resistances in parallel reduce the total resistance to less than either, using the formula R = 1 / (1/R1 + 1/R2). Thus, R = 1 / (1/30 + 1/30 ), so R = 1 / ( 1/15 ), so R = 15.
One way to remember how this works is that the two resistors provide two paths for electricity to flow, so the resistance will be less.
Note: Inductances act the same way in parallel. Capacitors simply add in parallel. It is easy to remember these because an inductor is a coil, and placing them in series is like making a longer coil, which is how you increase the inductance of a coil. Capacitors can be made from two plates, and the capacitance increases with area, so placing two of them in parallel is equivalent to increasing the area of one.
Parallel resistance equivalents are calculated with reciprocals:
1/REQ = 1/R1 + 1/R2
In this case, 1/30 + 1/20 = 2/60 + 3/60 = 5/60
The reciprocal of 5/60 is 60/5, or 12 Ohm.
Remember, the parallel resistance equivalent will always be smaller than the smallest resistor value. The more resistors in parallel the lower the equivalent resistance.
6 separate 18kOhm resistors wired in series make a total resistance of:18k+18k+18k+18k+18k+18k which is 108 kOhm.6 separate 18kOhm resistors wired in parallel make a total resistance of:1/[(1/18k) + (1/18k) + (1/18k) + (1/18k) + (1/18k) + (1/18k)] which is 3 kOhm.
A simple circuit has three resistors connected in series. The resistors are 14 ohms 12 ohms and 9 ohms. What is the total resistance of the circuit?
Resistors are wired in series when they are connected in a line. The current flows through the resistors one after the other.
The current in the circuit will depend on how the three resistors are wired. Series? Parallel? Series parallel? With the resistors in series, 3, 2 and 4 ohms will add to 9 ohms. As I = E/R, I = 9 V / 9 ohms = 1 A. With the resistors in parallel, the 3, 2 and 4 ohm resistors will draw 3 A, 4.5 A and 2.25 A respectively, and the total current will be the sum of the branch currents, or 3 A + 4.5 A + 2.25 A = 9.75 A. There are 3 different series parallel circuits possible, and more investigation will be necessary to solve for them.
Always parallel. Homes should never be wired in series. (That would be like the old Christmas tree lights where, if one bulb burned out, the entire string would not light up.)
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
What do you mean by a 'parallel delta' circuit -is there such a connection.
When resistors of the same value are wired in parallel, the total equivalent resistance (ie the value of one resistor that acts identically to the group of parallel resistors) is equal to the value of the resistors divided by the number of resistors. For example, two 10 ohm resistors in parallel give an equivalent resistance of 10/2=5Ohms. Three 60 ohm resistors in parallel give a total equivalent resistance of 60/3 = 20Ohms. In your case, four 200 Ohm resistors in parallel give 200/4 = 50 Ohms total.
30 ohms.
It represents that two resistors are connected in parallel.
What would the measured ohms be for two 100 ohm resistors wired in series? Two 100 ohm resistors wired in series measure 200 ohms.
6 separate 18kOhm resistors wired in series make a total resistance of:18k+18k+18k+18k+18k+18k which is 108 kOhm.6 separate 18kOhm resistors wired in parallel make a total resistance of:1/[(1/18k) + (1/18k) + (1/18k) + (1/18k) + (1/18k) + (1/18k)] which is 3 kOhm.
A simple circuit has three resistors connected in series. The resistors are 14 ohms 12 ohms and 9 ohms. What is the total resistance of the circuit?
The resistance of two or more resistors connected in series is the sum of the individual resistances. (If any of the connections between them is sloppy and involves some resistance at the connection, then that also has to be added in.)
In this case, to get the equivalent resistance, first you use the parallel formula (1/R = 1/R1 + 1/R2) to calculate the equivalent resistors in parallel. Then you calculate the series resistance of this combination, with the other resistor.
First, the question doesn't say if the resistors are in series or parallel, or series-parallel. Second, the current given is zero, which can only be true if the circuit has no applied voltage. (It's turned off.) This will be true regardless of the circuit configuration. We were told the "middle resistor" in the question, but that's still a bit "iffy" for us. We need to know how it's wired. Since we don't, we'll look at the three possibilities. If all three resistors are in series, the total resistance is the sum of all the resistors. It's this: Rt = R1 + R2 + R3 ... or Rt = 3 + 3 + 3 = 9 ohms A shortcut can be applied when identical resistors are in series. The total resistance will be the value of one multiplied by the number of them in series. In this case, 3 x 3 = 9 ohms. If the resistors are all in series, the total resistance is this: Rt = 1 / ( {1 / R1} + {1 / R2} + {1 / R3} ...) or Rt = 1 / ( {1/3} + {1/3} + {1/3}) = 1 / (3/3) = 1 / 1 = 1 ohm We can shortcut that when we have identical resistors in parallel. The total resistance will be the value of one of them divided by the number that are in parallel. So we'd have: Rt = (3 / 3) = (1 / 1) = 1 ohm If two are in series with one across them in parallel, the total resistance is found for each individual parallel branch and then the parallel branches (which have been reduced to a single equivalent resistance) can be taken into the parallel resistors equation and the total equivalent resistance calculated. In this case, one branch has two series resistors of three ohms. The total for that branch is 6 ohms, which we find by just adding them up. Now we have a 6 ohm (equivalent) resistor in parallel with a 3 ohm resistor. Take them into the equation and calculate. It's like this: Rt = 1 / ({1/6 } + { 1/3 }) = 1 / ({ 1/6 } + { 2/6 }) = 1 / ( { 3/6 }) = 1/ (1/2) = 2 ohms
Resistors are wired in series when they are connected in a line. The current flows through the resistors one after the other.