✔ Infinite Resistor Network Equivalent Resistance

Infinite Resistor Network Equivalent Resistance

- March 01, 2018

In physic i have to find a way to prove with equations that the sum of an infinite network of resistors of 1 omega has a limit value. Notice that the entire resistor network is made up of one simple repeating unit ie as the question states this unit repeats itself infinite number.

Solved Determine The Equivalent Resistance Of The Infinit

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How To Find Out The Equivalent Resistance For Infinite

However given my lack of expertise with basic electronics it could even be an easy one.

Infinite resistor network equivalent resistance. Viewed 398 times 0. Theoretically however the length is not limited and can even be infinite. Equivalent resistance across diagonal of cube.

The odd harmonic series diverges so this resistance is infinite. On this infinite grid of ideal one ohm resistors whats the equivalent resistance between the two marked nodes. Representing an input resistance of a ladder consisting of cells 23 and the rest.

Gate paper 54412 views. This question is based on the resistors rules. Gate 2014 ece equivalent resistance in the infinite ladder network shown is re find re r duration.

Resistance of infinite resistor network closed ask question asked 2 years 3 months ago. Active 2 years 3 months ago. Since the network is infinite if you extend the network by one more copy of the pattern the equivalent resistance shouldnt change.

The last estimate in this series tenth shunt resistor shorted was r 233 144 161803 which is the correct value to 6 decimal places. To make the argument rigorous. With a link to the source.

Find the equivalent resistance between the points a and b. Im not really sure if there is an answer for this question. At a b input terminals has a definite value even in such case.

Ohms law and resistor circuits 7 of 18. An infinite ladder is constructed with 1 and 2 resistors as shown in the figure below. So represent the networks resistance with a single resistor with req resistance.

Find the effective resistance between points a b. Gate 2014 ece equivalent resistance in the infinite ladder network shown is re find re r. Therefore in order for current to enter the grid at a node and exit at infinity we would require infinite potential ie voltage between the node and the grid points at infinity.

It can be determined from a simple thought illustrated in figure 2. If one estimate of the resistance is a b the next estimate will be ab a.

Efficient Methods For Calculating Equivalent Resistance