Question

# With the help of a circuit diagram, obtain the expression for equivalent resistance of two resistors connected in parallel.

Solution

## Lets resistance $$R_1, R_2,$$ are connected in parallel resistance circuit. Then the equivalent resistance of the circuit is given by $$\dfrac{1}{R_{eq}}= \dfrac{1}{R_1} + \dfrac{1}{R_2}$$So in the given circuit the equivalent resistance is$$\dfrac{1}{R}= \dfrac{1}{2}+\dfrac{1}{6}$$$$R_{eq}= \dfrac{3}{2} \Omega$$Physics

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