www.nortonkit.com 18 अक्तूबर 2013
Direct links to other DC Electronics pages:
Fundamentals of Electricity: [Introduction to DC Circuits] [What is Electricity?] [Electrons] [Static Electricity] [The Basic Circuit] [Using Schematic Diagrams] [Ohm's Law]
Basic Electronic Components and Circuits. . .
Resistors: [Resistor Construction] [The Color Code] [Resistors in Series] [Resistors in Parallel] [The Voltage Divider] [Resistance Ratio Calculator] [Three-Terminal Resistor Configurations] [Delta<==>Wye Conversions] [The Wheatstone Bridge]
Capacitors: [Capacitor Construction] [Reading Capacitor Values] [Capacitors in Series] [Capacitors in Parallel]
Inductors and Transformers: [Inductor Construction] [Inductors in Series] [Inductors in Parallel] [Transformer Concepts]
Combining Different Components: [Resistors With Capacitors] [Resistors With Inductors] [Capacitors With Inductors] [Resistors, Capacitors, and Inductors]
Resistors in Parallel

When two resistors are connected in parallel, as shown to the right, the same voltage appears across each resistor. However, each resistor provides its own path for the flow of current. If the resistors have different resistance values, they will carry different amounts of current, each in accordance with Ohm's Law.

As a result, we can calculate the currents through each resistor, and the total current I, as:

I1 = E ÷ R1

I2 = E ÷ R2

I = I1 + I2

Now let's apply Ohm's Law again, and solve the above equation for total resistance:

 E = E + E RT R1 R2

Since E is the same everywhere in the circuit, we can multiply both sides of the equation by 1/E and thus remove it. Then we solve for RT, the total circuit resistance:

 1 = 1 + 1 RT R1 R2 RT = 1 1 + 1 R1 R2 RT = 1 R2 + R1 R1R2 R2R1 RT = 1 R1 + R2 R1 × R2 RT = R1 × R2 R1 + R2