High School

What is the equivalent resistance between points A and B?

All the resistors are the same, and each has a resistance of 37.1 ohms.

Answer :

The equivalent resistance between points A and B in a circuit with identical resistors of 37.1 ohms can be calculated by summing up the resistances. It is equal to the number of resistors multiplied by 37.1 ohms.

In a circuit where all the resistors have the same resistance of 37.1 ohms, the resistors are connected in series. In a series circuit, the total resistance is the sum of the individual resistances.

Therefore, to find the equivalent resistance between points A and B, we simply add up the resistances of all the resistors in the circuit. Since all the resistors have the same resistance of 37.1 ohms, we can calculate the total resistance by multiplying the number of resistors by the resistance of each resistor.

If there are 'n' resistors in the circuit, the total resistance would be:

Total Resistance = n * Resistance of each resistor

= n * 37.1 ohms

Hence, the equivalent resistance between points A and B in the circuit, where all the resistors have a resistance of 37.1 ohms, is n * 37.1 ohms, where 'n' is the number of resistors in the circuit.

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