Question

Derived expression for parallel combination of two resistances​

Answer 1

Answer:

Two resistors of resistance R1 and R2 are connected in series. Let I be the current through the circuit. The current through each resistor is also I. The two resistors joined in series is replaced by an equivalent single resistor of resistance R such that the potential difference V across it, and the current I through the circuit remains same.

As , V = IR , V1 = IR1 , V2 = IR2

IR = IR1 + IR2

IR = I (R1 + R2)

Answer 2

Answer:

General formula :

$\frac{1}{rp} = \frac{1}{r1} + \frac{1}{r2}$

For 2 resistors r1 and r2

$\frac{r 1\: r2}{r 1 + \: r2}$

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