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c) Ben adds another identical bulb to the circuit in series. How does the brightness of the first bulb change? __

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c)
Ben adds another identical bulb to the circuit in series.
How does the brightness of the first bulb change?
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c) Ben adds another identical bulb to the circuit in series. How does the brightness of the first bulb change? __

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TimothyVeteran · Tutor for 12 years

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The brightness of the first bulb decreases.

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## Step 1:<br />In a series circuit, the total resistance of the circuit increases when another component (in this case, an identical bulb) is added. This is because the total resistance in a series circuit is the sum of the individual resistances. <br /><br />### \(R_{total} = R_1 + R_2 + R_3 + ... + R_n\)<br /><br />## Step 2:<br />The increase in total resistance leads to a decrease in the total current flowing through the circuit, as per Ohm's law. Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them.<br /><br />### \(I = \frac{V}{R}\)<br /><br />## Step 3:<br />The decrease in current results in a decrease in the brightness of the bulbs. This is because the brightness of a bulb in a circuit is directly proportional to the power dissipated by it, which is given by the product of the current flowing through it and the voltage across it. <br /><br />### \(P = IV\)
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