RESISTORS IN PARALLEL

RESISTORS IN PARALLEL

PARALLEL COMBINATION OF resistorS
R1, R2 and R3 are three resistors connected across voltage source V. I1, I2 and I3 are three current following in R1, R2 and R3 respectively. It is the total current of supply source, as shown in the fig.
Resistors in parallel Circuit Diagram
From the fig we
understand that
IT = I1 + I2 + I3
We know that
V=IR---> (1)
I = V/R--> (2)
Put eq (2) in eq (1) we get
Resistors in parallel Formula
Resistors in parallel Formula
Dividing Both Sides by V we get
Resistors in parallel Formula
In General
Resistors in parallel Formula
Where n = 1,2,3,4,..........

RESISTORS IN PARALLEL CHARACTERISTICs

  1. There are same voltages across each resistor in parallel ckt.
    VT = V1 = V2 = V3
  2. In each resistor the flow of current depends on the value of the resistor is high so small amount of current in that resistor as compare to that resistor whose value is less.
  3. The total current is equal to the sum of that current which flows in each resistor.
    IT= I1 + I2 + I3
    Resistors in parallel Formula
  4. The total ckt resistance is equal to the sum of conductance of ckt. OR The total ckt resistance is equal to the sum of reciprocal of the ckt.
    Resistors in parallel Formula
    OR
    GT=G1+G2+G3
  5. If we increase the resistor in that ckt so the total resistance will be decrease
  6. As there are different path for the current so if fault is occur in a resistor, so the operation of the other resistor is continue.
  7. In that ckt the amount of the total resistance is also less than the amount of small resistor of the ckt.
  8. The path of the current flow is equal to parallel path of the ckt.
  9. The total power and energies equal to the sum of each path.
  10. These ckt are used commonly.

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