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What is the equivalent resistance of infinite resistors?

What is the equivalent resistance of infinite resistors?

Since the circuit is infinitely long, removing the loop ABDC from the circuit will not affect the equivalent resistance of the circuit. Therefore, the equivalent resistance of the circuit beyond PQ is also R. But resistance can never be negative. Therefore, the equivalent resistance of the circuit is \[2\,\Omega \].

How do you find the equivalent resistance for a number of resistors in series?

. Since there is only one path for the charges to flow through, the current is the same through each resistor. The equivalent resistance of a set of resistors in a series connection is equal to the algebraic sum of the individual resistances.

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When infinite number of parallel resistors are connected in parallel then the overall equivalent resistance?

Likewise, if three or more resistors each with the same value are connected in parallel, then the equivalent resistance will be equal to R/n where R is the value of the resistor and n is the number of individual resistances in the combination.

How do you calculate equivalent resistance?

Solution

  1. The equivalent resistance is the algebraic sum of the resistances (Equation 10.3.
  2. The current through the circuit is the same for each resistor in a series circuit and is equal to the applied voltage divided by the equivalent resistance: I=VRS=9V90Ω=0.1A.

What is infinite resistance on a multimeter?

On a VOM, infinity signifies an open circuit. On an analog multimeter, infinity shows up as an unwavering needle that won’t move off the far left side on the display. On a digital multimeter, infinity reads “0. L.”

How do you find the equivalent resistance of two resistors?

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To determine the equivalent resistance of two resistors when connected in parallel. If the resistors are connected in parallel along with a battery, then the total current I is calculated as a sum of the separate value of current through each branch.

What is the equivalent resistance in a parallel circuit?

Thus, the presence of two 4 resistors in parallel will be equal to one 2 resistor in the circuit. This is the concept of equivalent resistance in a parallel circuit. If all components are connected in series, the circuit is referred to as a series circuit.

How many resistors can be replaced in a parallel combination?

Any number of resistors connected in a parallel combination can be replaced by a single resistor with the resistance equal to the equivalent resistance of the parallel combination resistors. It has been established that the voltage across each resistor in a parallel combination is same and the total current is equal to sum of individual currents.

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What is the formula for the total resistance across the voltage?

The total resistance across the voltage is given by 1/R = 1/R1+1/R2. a) Determination of the equivalent resistance of two resistors when connected in parallel.