How to derive the formula step- wise

Expert Answer:

Resistance in Parallel

If the resistance are in parallel, the potential difference across each is the same, but the current is not. Then,

I = I₁ + I₂ + I₃

Since charge is not accumulated at a point,

where R_p is the equivalent resistance of the combination. Therefore,

For the special case of only two resistors in parallel, the expression for the equivalent resistance takes on a particularly simple form, i.e.,

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