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16 January, 11:03

Two light bulbs have resistances of 400 Ω and 800 Ω. Part APart complete The two light bulbs are connected in series across a 120-V line. Find the current through each bulb. Enter your answers numerically separated by a comma. I400, I800 = 0.100,0.100 A Previous Answers Correct Part BPart complete Find the power dissipated in each bulb. Enter your answers numerically separated by a comma. P400, P800 = 4.00,8.00 W Previous Answers Correct Part CPart complete Find the total power dissipated in both bulbs. P = 12.0 W Previous Answers Correct Part D The two light bulbs are now connected in parallel across the 120-V line. Find the current through each bulb.

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  1. 16 January, 13:46
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    A) Rt = 1200 Ω B) I = 0.100 A the current in the two bulbs is the same

    Explanation:

    Part A

    As the bulbs are connected in series the equivalent resistance is

    Rt = R1 + R2

    Rt = 400 + 800

    Rt = 1200 Ω

    With this value we can find the current

    V = I Rt

    I = V / Rt

    I = 120/1200

    I = 0.100 A

    In a circuit, the current is constant, so the current in the two bulbs is the same

    Part B

    The equation for power is

    P = I V = I² R

    In the bulb of R = 400 Ω

    P₄₀₀ = 0.1² 400

    P₄₀₀ = 4.00 W

    In the bulb of R = 800 Ω

    P₈₀₀ = 0.1² 800

    P₈₀₀ = 8.00 W

    Part C

    Pt = I² Rt

    Pt = 0.1² 12

    Pt = 12.0 W

    Part D.

    The bulbs are in parallel. In this case the voltage in each bulb is constant,

    V = I R

    i = V/R

    I₄₀₀ = V/R₄₀₀

    I₄₀₀ = 120 / 400

    I₄₀₀ = 0.300 A

    I₈₀₀ = V/R800

    I₈₀₀ = 120/800

    I₈₀₀ = 0.150 A
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