When a number of resistances are connected in parallel then combined resistance is less than the smallest individual resistance.

True

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False

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Solution

The correct option is A True
When two resistors $R$ and $r$ are connected in paralle.

Equivalent resistance $= R_{o} = \frac{R r}{R + r} = \frac{R}{1 + \frac{R}{r}}$

Since, $1 + \frac{R}{r} > 1$

$⟹ R_{o} < R$

Similarly, $R_{o} < r$

Hence, when resistors are connected in parallel, equivalent resistance is less than each individual resistance.

Given statement is $T r u e$ .

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When a number of resistances are connected in parallel then combined resistance is less than the smallest individual resistance.

The correct option is A TrueWhen two resistors R and r are connected in paralle.Equivalent resistance =Ro=RrR+r=R1+RrSince,1+Rr>1⟹Ro<RSimilarly, Ro<rHence, when resistors are connected in parallel, equivalent resistance is less than each individual resistance.Given statement is True.