Question

Two light bulbs have resistances of 40 2 and 80 22. Part B The two light bulbs are connected in series across a 12 V supply.

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Answer #1

The resistances of the light bulbs are

\\R_{40} = 40 \ \Omega \\R_{80} = 80 \ \Omega

Part B,

Given, supply is V = 12 \ V

When the bulbs are in series, their total resistance is

R_t = 40 + 80 = 120 \ \Omega

therefore, current in the circuit is

I = \frac{V}{R_t} = \frac{12}{120} = 0.1 \ A

then, power dissipated in each bulb is

\\P_{40} = I^2 R_{40} = 0.1^2 * 40 = 0.4 \ W \\\\P_{80} = I^2 R_{80} = 0.1^2 * 80 = 0.8 \ W

Part C,

The total power dissipated in both bulbs is same as the power output of the supply

therefore,

P = VI = 12 * 0.1 = 1.2 \ W

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