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What is (a) the highest, (b) the lowest total resistance that can be secured by combinations of four coils of resistance \(4\ Ω\), \(8\ Ω\), \(12\ Ω\), \(24\ Ω\)?
a. In a series circuit, the effective or equivalent resistance is the sum of the individual resistances of the resistors. The equivalent resistance in a series combination is the highest of the individual resistances.
If the four resistors are connected in series, their total resistance will be the . Hence, the total equivalent resistance of the resistors in series connection is
\(R_{S}\) \(=\)
b. The equivalent resistance in a parallel combination is the lowest of the individual resistances.
The total equivalent resistance of the resistors in parallel connection is
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