# How Do You Find The Resistance Of A Parallel Circuit With N Identical Resistors

The electrical resistance of a parallel circuit with N identical resistors can be a tricky thing to calculate. While each individual resistor in the circuit has a resistance, the amount of total resistance in the circuit is determined by how the resistors are connected. In a parallel circuit, each individual resistor is connected directly to the source, so the total resistance of the circuit becomes less than the resistance of any of the individual resistors. This phenomenon can be explained using Ohm's Law, which states that the resistance of a circuit is equal to the voltage divided by the current.

When two or more resistors are connected in parallel, the total resistance of the circuit is lower than the resistance of either one individually. This is because each individual resistor is connected directly to the source, allowing the current to spread over the entire circuit, thus reducing the overall resistance. The formula for calculating the total resistance of a parallel circuit is R = 1/ (1/R1 + 1/R2 + … + 1/Rn) where R1, R2, ..., Rn represent the individual resistors.

For example, consider a circuit with three resistors, each with a resistance of 10 ohms. The total resistance of the circuit can be calculated as R = 1/ (1/10 + 1/10 + 1/10) which equals 3.33 ohms. As you can see, the total resistance of the circuit is lower than the resistance of any one of the resistors, even though they are all the same.

Understanding the total resistance of a parallel circuit with N identical resistors can be a bit of a challenge, but with a little bit of math and some basic knowledge of Ohm's Law, you should be able to figure out the answer. Keep in mind that when dealing with multiple resistors, the total resistance of the circuit will always be lower than the resistance of any one of the individual resistors. Knowing this information can help you design more efficient circuits, allowing you to get the most out of your electronic components.

Parallel Resistance Calculator Electrical Engineering Electronics Tools

Answered 25 Two Identical Resistors Are Bartleby

A Circuit Is Constructed Using 9 Identical Batteries And Resistors The Lower Left Corner Of Grounded Determine Whether Cur Through Each Resistor Zero Or Non

Series And Parallel Circuits

In The Circuit Shown N Identical Resistors R Are Connected Parallel 1 And Combination Is Series To Another Resistor R0 Sarthaks Econnect Largest Online Education Community

Two Resistors Having Equal Resistance When Connected In Series Have Equivalent Of 48 Ohms What Is The Both Are Joined Parallel Combination Quora

Question 36 In The Circuit Shown N Identical Resistors R Are Connected Parallel 1 Physics Physical World 12636249 Meritnation Com

In The Circuit Shown N Identical Resistors R Are Connected Parallel 1 And Combination Sarthaks Econnect Largest Online Education Community

Paradise Soda Water Approximation A Set Of N Identical Resistors Advice Explode Live

Five Identical Resistors Marked A B C D And E Are Physics

Which Circuit Shows Three Non Identical Resistors With The Same Cur Brainly Com

Three Identical Resistors Are Connected In Parallel And Total Resistance Of The Circuit Is R 3 Find Value Each

Simple Parallel Circuits Series And Electronics Textbook

In The Circuit Shown N Identical Resistors R Are Connected Parallel 1 And Combination Is Series To Another Resistor R0 Sarthaks Econnect Largest Online Education Community

If I Remove More Than One Resistor From A Parallel Circuit What Effect Should Expect On The Both Resistance And Cur Quora

In The Circuit Shown Two Identical Resistors Are Conn Itprospt

Solved Consider The Circuit Below Consisting Of Five Chegg Com

How To Calculate The Equivalent Resistance In A Parallel Circuit Physics Study Com

What Happens To The Total Cur In A Parallel Circuit As More Branches Are Added Why Quora