Three resistors of resistances R₁, R₂, and R₃ are connected in parallel. Write the expression for their equiv…

Question

Three resistors of resistances R₁, R₂, and R₃ are connected in parallel. Write the expression for their equivalent resistance R_p.

Accepted Answer

## Model Answer For three resistors connected in parallel, the equivalent resistance $R_p$ is given by: $$\frac{1}{R_p} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$$ Source: Chapter 11, Section 11.6.2 Resistors in Parallel, Eq. (11.18) ## Explanation Write the formula in reciprocal form — examiners expect exactly this expression. Do **not** write $R_p = R_1 + R_2 + R_3$ (that is the series formula). The key idea: in parallel, reciprocals of resistances add up.

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