When light bulbs (A) and (B) are connected in series to a battery, bulb A glows brightly

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When light bulbs \(A\) and \(B\) are connected in series to a battery, bulb A glows brightly and bulb B glows dimly. You remove bulb B so that the circuit contains just the battery and bulb \(\mathrm{A}\), and you connect bulb \(\mathrm{B}\) to an identical battery. With the two bulbs connected to identical batteries but in separate circuits, do the bulbs glow equally brightly now?

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