Resistor Series Parallel Formula

To calculate the total resistance of the series circuit

Resistance of the series circuit

\(R_{t} = R_{1}+R_{2}+R_{3}\)

Where,

\(R_{t} = Total\,Resistance\)

R1 = Resistance 1

R2 = Resistance 2

R3 = Resistance 3

Total Resistance Of 2 Resistors Connected parallel

Resistance of the Parallel circuit

\(R_{t} = \frac{R_{1}R_{2}}{R_{1}+R_{2}}\)

Where,

\(R_{t} = Total\,Resistance\)

R1 = Resistance 1

R2 = Resistance 2

Total Resistance Of 3 or more Resistors Connected parallel

Resistance of the Parallel circuit

\(\frac{1}{R_{t}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}}+——\)

Where,

\(R_{t} = Total\,Resistance\)

R1 = Resistance 1

R2 = Resistance 2

R3 = Resistance 3

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Practise This Question

A box contains 10 red balls and 15 blue balls. One ball from the box is lost. Two balls are then drawn from the box and are found to be red ones. Find the chance that the missing ball is a blue ball.