I have included a link to the online calculator for parallel circuits.This will calculate the total resistances of the circuit that you input.(note: na is the default value in case you have to delete one.)
https://appsnap.us/electro/resistor.html
Tuesday, June 12, 2012
Sunday, June 10, 2012
series circuits
formula for series of resistors is the sum of all of the resistors on the series circuit.
total resistance=20+20+40 or 80 ohms.
total resistance=20+20+40 or 80 ohms.
Monday, May 28, 2012
parallel circuits
parallel circuits .
The Formula for finding total Resistance is 1\1\r1 +1\r2 +1\r3(an so on).
This is the recommended way to find the total resistance if you have a calculator handy
I however prefer the following method when I don't have a calculator handy.
Step 1. Understand that the formula has one constant variable (the voltage)and many constant expressions in the form of resistant loads(resistance of component in ohms).
The voltage can be a real voltage number or any simulated number as long as it remains constant through out your calculations.The resistances are constant(they do not change). The only real variable is the current as it will change depending on what voltage you have assigned.So we start by using a voltage that is easy to divide by lets say a multiple of all of our resistors or the greatest common factor among them.(note:you can factor out a number from the circuit as long as the voltage and all subsequent loads are factored by that number per the laws of equality as in the next example.)Lets start by assuming a circuit has three resistors the first is 60 ohms, the second is 20 ohms, and the third is 120 ohms.We can then assign a voltage that is easy to divide by and factor out additional numbers.Let's assign 120 volt to our parallel circuit.Since all three of our resistors and our voltage are divisible by ten we will factor it out and be left with 12 volts and three resistances of 12 ohms,6 ohms,and 2 ohms.We can also factor out 2 and now are left with 6volt , 6 ohms,3 ohms,and 1 ohms.Now that we have boiled every thing down to its simplest form lets move on to step 2.
Step 2.Find the total circuit ampacity
to find the total ampacity of a parallel circuit one must divide the circuit voltage by the resistance on each branch the add them together.So with our example above we divide the voltage by the first resistance and get 1 amp ,we do the second and get 2amps,and third produces 6 amps.If we add them all together we get the total ampacity which is 9 amps.On to the the final step.
Step 3.Use Ohm's law to find the total resistance.
Ohm's law is E over I times R so
ET over RT times IT. is equivalent.
So if I have the total ampacity and the total voltage, all I have to do to find the total resistance is divide the total voltage by the total ampacity.If we continue in our example we divide 6 volts by 9 amps and get 0.666 repeating; six rounded up is seven so we can say 0.6667 for short.
I however prefer the following method when I don't have a calculator handy.
Step 1. Understand that the formula has one constant variable (the voltage)and many constant expressions in the form of resistant loads(resistance of component in ohms).
The voltage can be a real voltage number or any simulated number as long as it remains constant through out your calculations.The resistances are constant(they do not change). The only real variable is the current as it will change depending on what voltage you have assigned.So we start by using a voltage that is easy to divide by lets say a multiple of all of our resistors or the greatest common factor among them.(note:you can factor out a number from the circuit as long as the voltage and all subsequent loads are factored by that number per the laws of equality as in the next example.)Lets start by assuming a circuit has three resistors the first is 60 ohms, the second is 20 ohms, and the third is 120 ohms.We can then assign a voltage that is easy to divide by and factor out additional numbers.Let's assign 120 volt to our parallel circuit.Since all three of our resistors and our voltage are divisible by ten we will factor it out and be left with 12 volts and three resistances of 12 ohms,6 ohms,and 2 ohms.We can also factor out 2 and now are left with 6volt , 6 ohms,3 ohms,and 1 ohms.Now that we have boiled every thing down to its simplest form lets move on to step 2.
Step 3.Use Ohm's law to find the total resistance.
Ohm's law is E over I times R so
ET over RT times IT. is equivalent.
So if I have the total ampacity and the total voltage, all I have to do to find the total resistance is divide the total voltage by the total ampacity.If we continue in our example we divide 6 volts by 9 amps and get 0.666 repeating; six rounded up is seven so we can say 0.6667 for short.
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