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What is the equivalent resistance when resistors are in a cube?

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.


A 22 k and Ohm and 12 k and Ohm resistor are connected in series across a 68 V source how is the voltage divided?

If the resistors are in series the voltage can not be divided, as it has to pass first through one then the other. The amount of current that flows through a set of resistors in series will be the same at all points and the total resistance in the circuit must be equal to the sum of all the individual resistors added together. In other words the 22k and 12k Ohm resistors are the sames as a single 34k Ohm resistor.


What type of circuit has all its resistors in the same path?

A series circuit


What are the relation between individual voltage and the total voltage when resistors are connected in series?

when A resistance is connected across the supply voltage, total input vooltage will be drop in the resistance when the resistances are connected across the supply voltage, total input vooltage will be devidedacross the resistances. IF R value will be high ,drop also high. IF R value wll be low ,voltage drop will be less.


How do you get half of the voltage from a DC supply circuit?

By using a voltage divider, that is two resistors of the same value in series across the DC supply. Half of the supply voltage will be at the point where the two resistors is connected. But how much wattage of those resistors is also an issue.

Related Questions

What are the differences between resistors connected in parallel and resistors connected in series, and how do these configurations affect the overall resistance in a 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.


In a circuit the voltage across all resistores is the same?

It depends upon the connection of the resistors, if the resistors are connected in parallel then the voltage is same where as in case of resistors connected in series the voltage is different across different resistors.


Resistors connected in a single path is called?

The resistors connected in single path are called series resistances or resistances in series.The current across both the resistors is same while the potential differences are different.


Three equal resistors connected in series across a voltage source dissipate a power of 10W what sould be the power desipated if same resistors are connected in parallel?

If three equal resistors are connected in parallel, the equivalent resistance will be one-third of the resistance in series. This lower resistance will result in a higher current flowing through the resistors when connected in parallel compared to when they are in series. Therefore, the power dissipated by the resistors in parallel will be greater than 10W.


What is the relationship between resistors connected in series and the flow of current through them?

When resistors are connected in series, the flow of current through them is the same. This means that the current passing through each resistor is equal, as it has to pass through each resistor in the series circuit.


Can two electric resistors connect in both series and parallel?

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.


Why ammeters are connected in series?

Because, in series connection the current is same in all resistors, so the ammeter deflection for finding current is same in each ammeter.


What is the equivalent resistance when resistors are in a cube?

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.


How can you connect resistors to produce an equivalent resistance which is the same as the resistance of each individual resistor?

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.


What is the resistance in a circuit if two 60ohm's resistors are connected in series?

The equivalent resistance of multiple resistors connected in series is the sum of theindividual resistances.(10 + 60 + 50) = 120 ohms for this particular trio of resistors in series.It makes no difference what battery they may be connected to, or if they're connected toany power supply at all.


A 22 k and Ohm and 12 k and Ohm resistor are connected in series across a 68 V source how is the voltage divided?

If the resistors are in series the voltage can not be divided, as it has to pass first through one then the other. The amount of current that flows through a set of resistors in series will be the same at all points and the total resistance in the circuit must be equal to the sum of all the individual resistors added together. In other words the 22k and 12k Ohm resistors are the sames as a single 34k Ohm resistor.


If two resistors have same voltage drop in a series circuit it means?

It means the two resistors have same resistance