How is the value of spring constant affected when several small i… - Vidyadip

Question

How is the value of spring constant affected when several small indentical spring are combined (i) in series and (ii) in parallel?

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Answer

When we combine several small identical spring in series, then the value of the effective spring constant $k$ of the combination becomes $\frac{1}{n}$ times the each small spring.
Here $n$ is the number of small identical spring. That is, compared $\frac{1}{n}$ to spring connected in parallel, the effective force constant is equal to the sum of the force constant of each spring.
$
k=k_1+k_2
$

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