Intext questions XV — task. Science CBSE, Class 10.

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How can three resistors of resistances \(2\ Ω\), \(3\ Ω\), and \(6\ Ω\) be connected to give a total resistance of (a) \(4\ Ω\), (b) \(1\ Ω\)?

a. \(4\ Ω\)

The equivalent resistance of the resistors is

\begin{array}{l} \frac{1}{R_{P}} = \frac{1}{R_{i}} + \frac{1}{R_{i}} \\ = \frac{i}{i} \\ R = i Ω \end{array}

\(R_{eq}\) \(=\)

b. \(1\ Ω\)

The equivalent resistance is

\begin{array}{l} \frac{1}{R_{P}} = \frac{1}{R_{i}} + \frac{1}{R_{i}} + \frac{1}{R_{i}} \\ R = i Ω \end{array}

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47. Intext questions XV