what does this statement mean......
the reciprocal of the equivalent resistance of a group of resistances joined in parallel is equal to the sum of reciprocals of the individual resistances....
plzz explain....in simpler words
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Equivilent resistance is the net resistance of the circuit .
We have three types of combinations of resistances in the circuit which are as follow :
1 ) Series Combination
2) Parallel Combination
3) Mixed Conbination ( Series + Parallel )
We may have any of the three above combination in an electrical circuit and We need to find the total current drawn by the circuit.
For this , we must have total Voltage and Resist0ance ( Net Resistance or Equivalent resistance Or Effective resistance )...
We have a relation to calculate equivalent resistance for the above two combinations ( Series and parallel )
In Series , The equivalent resistance is equal to the sum of all the individial resistances connected in series.
For example : If we have R1 , R2 and R3 are connected in series , then Sum of all the individual Resistance will give the Effective reistance ( Equivalnet resistance )
R eq = R1 + R2 + R3
In Parallel , We have reciprocals of individual resistances... Mean if we have resistance R then its reciprocal will be 1 / R and suppose R eq is an equivalent resistance then its reciprocal will be 1 / R eq...
So in parallel , The reciprocal of equivalent resistance is equal to the Sum of the reciprocals of all the individiual resistances which are connected in series...
For example : If we have three resistances R1 , R2 and R3 connected in parallel then we have a relation as the reciprocal of equivalent resistance is equal to the sum of the reciprocals of the all the individual resistances ...i .e
1 / R eq = 1 / R1 + 1 / R2 + 1 / R3
We have three types of combinations of resistances in the circuit which are as follow :
1 ) Series Combination
2) Parallel Combination
3) Mixed Conbination ( Series + Parallel )
We may have any of the three above combination in an electrical circuit and We need to find the total current drawn by the circuit.
For this , we must have total Voltage and Resist0ance ( Net Resistance or Equivalent resistance Or Effective resistance )...
We have a relation to calculate equivalent resistance for the above two combinations ( Series and parallel )
In Series , The equivalent resistance is equal to the sum of all the individial resistances connected in series.
For example : If we have R1 , R2 and R3 are connected in series , then Sum of all the individual Resistance will give the Effective reistance ( Equivalnet resistance )
R eq = R1 + R2 + R3
In Parallel , We have reciprocals of individual resistances... Mean if we have resistance R then its reciprocal will be 1 / R and suppose R eq is an equivalent resistance then its reciprocal will be 1 / R eq...
So in parallel , The reciprocal of equivalent resistance is equal to the Sum of the reciprocals of all the individiual resistances which are connected in series...
For example : If we have three resistances R1 , R2 and R3 connected in parallel then we have a relation as the reciprocal of equivalent resistance is equal to the sum of the reciprocals of the all the individual resistances ...i .e
1 / R eq = 1 / R1 + 1 / R2 + 1 / R3
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