How To Calculate Total Resistance In Parallel Circuit

How to Calculate Total Resistance in a Parallel Circuit

In a parallel circuit, the total resistance is less than the resistance of any individual resistor. This is because the current can flow through multiple paths, so the overall resistance is lower. The total resistance of a parallel circuit can be calculated using the following formula: ``` Rtotal = 1 / (1/R1 + 1/R2 + ... + 1/Rn) ``` where: *

Rtotal

is the total resistance of the circuit *

R1

,

R2

, ...,

Rn

are the resistances of the individual resistors For example, if you have a circuit with three resistors of 10 ohms, 20 ohms, and 30 ohms, the total resistance of the circuit would be: ``` Rtotal = 1 / (1/10 + 1/20 + 1/30) = 5 ohms ``` It is important to note that the total resistance of a parallel circuit is always less than the resistance of the smallest resistor in the circuit. This is because the smallest resistor provides the easiest path for current to flow, so it will have the greatest effect on the overall resistance of the circuit. ## Calculating Total Resistance with a Multimeter The total resistance of a parallel circuit can be easily measured using a multimeter. To do this, simply set the multimeter to the "resistance" setting and connect the leads to the two terminals of the circuit. The multimeter will display the total resistance of the circuit in ohms. ## Example Problem A parallel circuit has three resistors of 10 ohms, 20 ohms, and 30 ohms. What is the total resistance of the circuit? ``` Rtotal = 1 / (1/10 + 1/20 + 1/30) = 5 ohms ``` ## Conclusion The total resistance of a parallel circuit is always less than the resistance of the smallest resistor in the circuit. This is because the smallest resistor provides the easiest path for current to flow, so it will have the greatest effect on the overall resistance of the circuit. The total resistance of a parallel circuit can be calculated using the following formula: ``` Rtotal = 1 / (1/R1 + 1/R2 + ... + 1/Rn) ``` where: *

Rtotal

is the total resistance of the circuit *

R1

,

R2

, ...,

Rn

are the resistances of the individual resistors The total resistance of a parallel circuit can be easily measured using a multimeter.


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