Of the two bulbs in a house, one glows bright | vedclass

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(C) In a household circuit, bulbs are connected in parallel. In a parallel connection, the voltage $(V)$ across each bulb is the same. The power consu

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The dim bulb

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(C) In a household circuit, bulbs are connected in parallel. In a parallel connection, the voltage $(V)$ across each bulb is the same. The power consumed by a bulb is given by the formula $P = V^2 / R$. Since $V$ is constant, the power $P$ is inversely proportional to the resistance $R$ $(P \propto 1/R)$. Therefore, the bulb that glows brighter consumes more power, which means it must have a lower resistance. Conversely, the bulb that glows dimmer consumes less power, which means it must have a higher resistance. Thus, the dim bulb has a larger resistance.

Of the two bulbs in a house, one glows brighter than the other. Which of the two has a larger resistance?

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