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(B) In a household circuit,bulbs are connected in parallel,meaning the potential difference $(V)$ across each bulb is the same.The power consumed by a

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The dim bulb

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(B) In a household circuit,bulbs are connected in parallel,meaning the potential difference $(V)$ across each bulb is the same.The power consumed by a bulb is given by the formula $P = \frac{V^2}{R}$.Since $V$ is constant,the power $P$ is inversely proportional to the resistance $R$,i.e.,$P \propto \frac{1}{R}$.$A$ brighter bulb consumes more power,which implies it has a lower resistance.Conversely,a dimmer bulb consumes less power,which implies it has a higher resistance.Therefore,the bulb that glows dimmer has the larger resistance.

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

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