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What is the equivalent resistance when resistors are in a cube?
Wiki User
∙ 11y ago
The equivalent resistance, from corner to corner, of 12 resistors connected in a cube is 5/6 that of a single resistor.
Proof:
Start from one corner and flow current through to the opposite corner. You have three resistors. Each of those three resistors is connected to two resistors, in a crisscross pattern. Those six resistors are then connected to three resistors which are connected to the other corner. By symmetry, the voltages at the upper junctions are the same, and then same can be said for the lower junction. You can then simplify the circuit by shorting out the upper junctions and (separately) the lower junctions. This means the circuit is equivalent to three resistors in parallel, in series with six resistors in parallel, in series with three resistors in parallel. This is 1/3 R plus 1/6 R plus 1/3 R, or 5/6 R.
Wiki User
∙ 11y ago
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What is the equivalent resistance of three resistor with 3 ohms connected in star?
There is no 'equivalent resistance' for three resistors connected in star.
What is the equivalent resistance of a pair of 8 ohm resistors in series circuit?
Two eight-ohm resistors in series would have a total resistance of 16 ohms. Two eight-ohm resistors in parallel would have a total resistance of four ohms.
How do you find the resistance of a series circuit with n identical resistors?
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 is the formula for calculating the equivalent resistance of a series circuit?
Equivalent resistance of a series circuit is the sum of the resistance of all appliances. The formula is R=R1+R2+... where R is equivalent resistance, R1, R2 and so on is the resistance of the individual appliances.
Two resistors of 400 Ohm and 600 Ohm are in parallel What is the equivalent resistance?
Use the general equation for resistance in parallel: 1/R = 1/R1 + 1/R2
Three 8.0-W resistors are connected in series What is their equivalent resistance?
Three 8.0-W resistors are connected in parallel. What is their equivalent resistance?
What is the relations for the equivalent resistance of a number of resistors connected in series?
Resistance in series is simply the sum of the resistors. RSERIES = SummationI=1,N(RI)
What is the equivalent resistance of three resistor with 3 ohms connected in star?
There is no 'equivalent resistance' for three resistors connected in star.
How to find Equivalent resistance when you have both parallel and series resistors?
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)
What is the equivalent resistance of a pair of 8 ohm resistors in series circuit?
Two eight-ohm resistors in series would have a total resistance of 16 ohms. Two eight-ohm resistors in parallel would have a total resistance of four ohms.
How do you find the resistance of a series circuit with n identical resistors?
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 is the equivalent resistance of a series circuit that has four 5oo ohm resistors?
2000 ohms
If a circuit contains 3-ohm resistance in a series what is the equivalent resistance of combination?
Equation for Equivalent Resistance in Series isReq= R1+R2+R3+...........If each resistor is equal to 3OhmsthenReq= R1+R2+R3Req=3+3+3Req=9 OhmsThe Equivalent resistance is 9 Ohms.
Does more current flow through a parallel circuit than a series circuit?
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.
Which is the total resistance of a circuit that contains twenty 100 ohms resistors connected in parallel?
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.
How do you calculate the equivalent resistance of a circuit of the shape of a cube and a having a resistor of i kilo ohm in every branch?
Given twelve 1 KOhm resistors, connected in the shape of a cube, in order to determine the net resistance between opposite corners, first draw the cube in two dimensions. (Try this at each step before continuing, so you can understand the lesson as it unfolds.)There are three resistors leaving the initial vertex, and three resistors entering the final vertex. In between those six resistors, are six more resistors, each pair connected together on one end, and to two other resistors on the other end.If every resistor has the same value, then (by symmetry), the voltage on the ends of the first three resistors must be the same. Similarly, the voltage on the ends of the last three resistors must be the same.If two points in a circuit have the same voltage, then (for purposes of analysis) you can consider them to be shorted together. That short does not change the results, as there is no current flowing through that short.With the bottom ends of the first three resistors shorted, and with the top ends of the last three resistors shorted, the circuit degrades into three resistors in parallel, in series with six more resistors in parallel, in series with three more resistors in parallel.Three 1 KOhm resistors in parallel have a net resistance of 333 ohms. Six have a net resistance of 167 ohms. Two 333 ohm resistors and one 167 ohm resistor in series have a net resistance of 833 ohms, or 5/6 of 1 KOhms.Note: This technique does not work if the resistors are not all the same value. In that case, you would need to solve 12 equations in 12 unknowns, looking at the partial currents in each branch.
What is the equivalent resistance through the entire circuit?
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.
