Question

Derive an expression when three resistors are connected in series and parallel

Answer 1

Answer:

Electricity. Derive an expression for the combination of three resistances connected in parallel. Parallel combination of resistances: If a number of resistances are connected in between two common points so that each of them provides a separate path for current, then they are said to be connected in parallel.

Answer 2

Explanation:

(i) Total potential difference across a combination of resistors in series is equal to the sum of potential difference across the individual resistors.

V = V1 + V2 + V3

Let I be the current in the circuit. The current through each resistor is also I. It is possible to replace the three resistors joined in series by an equivalent resistor of resistance R. Applying Ohm's law,

V = IR

On applying Ohm's law to the three resistors respectively we further have

V1 = IR1

V2 = IR2

V3 = IR3

But V = V1+ V2 + V3

IR = IR1 + IR2 + IR3....

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