What is Resistor?
Resistor itself says resist, an electrical component that resist or limits the flow of electric current. For more information about resistor read our blog What is Resistor?
Ohm’s LawOhm’s law states that voltage across the ends of a conductor is directly proportional to the current flowing to the conductor where all physical conditions (Like Temperatures, Humidity, Pressure, etc) remain constant.
V ∝ IIf we write in equation then,
V = IR or I = V/R
Where R is the resistance of a conductor. For more information about Ohm’s law read our blog Ohm’s Law.
Calculate total Current Using Ohm’s LawIn circuits where resistances are in parallel, the voltage across the each resistor is same but current is divided among it. If two resistors are connected(Fig 1) in parallel then,
ITotal = I1 + I2If three resistor are connected(Fig 2) in parallel then,
ITotal = I1 + I2 + I3If n no. of resistors are connected(Fig 3) in parallel then,
ITotal = I1 + I2 + I3 + …. + InNow, we can write I1 as V/R1, I2 as V/R2 and so on upto nth resistors according Ohm’s Law
ITotal = V/R1 + V/R2 + V/R3 + …. + V/Rn
Parallel Resistance FormulaAs we know that V=IR and if we have n no of resistors and total current in that circuit is ITotal then the equivalent resistance is :
Req = V / ITotalNow put the value of ITotal
Req = V / (V/R1 + V/R2 + V/R3 + …. + V/Rn)By simplifying we get :
Req = 1 / (1/R1 + 1/R2 + 1/R3 + …. + 1/Rn)In other way we can write :
1 / Req = 1/R1 + 1/R2 + 1/R3 + …. + 1/Rn
How to calculate the Equivalent ResistanceIf two resistors are connected (Fig 1) in parallel then, equivalent resistance is :
1 / Req = 1/R1 + 1/R2We can expressed as :
Req = (R1 * R2) / (R1 + R2)If three resistors are connected (Fig 2) in parallel then, equivalent resistance is :
1 / Req = 1/R1 + 1/R2 + 1/R3We can expressed as :
Req = (R1*R2*R3) / ((R1*R2)+(R2*R3)+(R3*R1))
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