High School

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8.3.1 If the resistance of the light bulb remains constant, how will the brightness of the light bulb be affected? Choose from INCREASES, DECREASES or REMAINS THE SAME.

8.3.2 Explain the answer to QUESTION 8.3.1.

Answer :

To understand this question, we need to consider how the brightness of a light bulb is affected by different electrical factors, specifically resistance, voltage, and current.

8.3.1: If the resistance of the light bulb remains constant and other factors such as voltage are not mentioned, the brightness REMAINS THE SAME.

8.3.2: Explanation:

  • Brightness and Power: The brightness of a light bulb is determined by the power it emits. Power (P) can be calculated using the formula [tex]P = IV[/tex], where [tex]I[/tex] is the current, and [tex]V[/tex] is the voltage.

  • Ohm's Law: Ohm's Law states that [tex]V = IR[/tex], where [tex]V[/tex] is the voltage across the light bulb, [tex]I[/tex] is the current flowing through it, and [tex]R[/tex] is the resistance. If the resistance (R) is constant and not changing, then variations in brightness can generally only happen if the current or voltage changes.

  • Power formula with resistance: Using Ohm’s Law, the power can also be expressed as [tex]P = \frac{V^2}{R}[/tex] or [tex]P = I^2R[/tex]. If the resistance [tex]R[/tex] remains constant and the voltage [tex]V[/tex] supplied to the bulb does not change, the power (hence the brightness) also remains constant.

  • Conclusion: This analysis shows that without a change in voltage (assuming voltage is constant), the brightness remains unchanged because both current and power remain constant. Therefore, under these conditions, the brightness of the light bulb remains the same.

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