When three resistors, each having resistance r, are connected in parallel, their resultant resistance is x. If these three resistances are connected in series, the total resistance will be ________.

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3rx

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9/x

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3/x

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Solution

The correct option is B 9/x
Equivalent resistance (parallel connection) $R_{p}$ = $\frac{1}{r}$ + $\frac{1}{r}$ + $\frac{1}{r}$ = x
$∴$ $\frac{3}{r}$ = $x$
$∴$ $r$ = $\frac{3}{x}$

Equivalent resistance (series connection) $R_{s}$ = $r + r + r$ = $3 r$ = $\frac{9}{x}$

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When three resistors, each having resistance r, are connected in parallel, their resultant resistance is x. If these three resistances are connected in series, the total resistance will be ________.

The correct option is B 9/xEquivalent resistance (parallel connection) Rp= 1r + 1r + 1r = x∴ 3r = x∴ r = 3xEquivalent resistance (series connection) Rs = r+r+r = 3r = 9x

The correct option is B 9/x
Equivalent resistance (parallel connection) $R_{p}$ = $\frac{1}{r}$ + $\frac{1}{r}$ + $\frac{1}{r}$ = x
$∴$ $\frac{3}{r}$ = $x$
$∴$ $r$ = $\frac{3}{x}$

Equivalent resistance (series connection) $R_{s}$ = $r + r + r$ = $3 r$ = $\frac{9}{x}$