Three equal resistors connected in series across a source emf together dissipate 10 watt. If the same resistors are connected in parallel across the same emf the power dissipate will be

10 watt

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30 watt

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10/3 watt

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90 watt

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Solution

The correct option is D 90 watt
Case 1:
$P = \frac{E^{2}}{3 R} = 10$ watt
Case 2:
$P = \frac{E^{2}}{R / 3} = \frac{{9 E}^{2}}{3 R} = 90$ watt

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Three equal resistors connected in series across a source emf together dissipate 10 watt. If the same resistors are connected in parallel across the same emf the power dissipate will be

The correct option is D 90 wattCase 1:P=E23R=10 wattCase 2:P=E2R/3=9E23R=90 watt

The correct option is D 90 watt
Case 1:
$P = \frac{E^{2}}{3 R} = 10$ watt
Case 2:
$P = \frac{E^{2}}{R / 3} = \frac{{9 E}^{2}}{3 R} = 90$ watt