For this problems start from a fundamental principle and be sure to clearly show

Question

For this problems start from a fundamental principle and be sure to clearly show
all work, your score will be based on your reasoning. Include units and use 3-component
vector notation when appropriate. Additional paper will be provided if needed..
Problem 11:
The circuit below is made using identical bulbs and an ideal battery.

For problems 11 through 12. start from a fundamental principle and be sure to clearly show all workl your score will be based on your reasoning. Include units and use 3-component vector notation when appropriate. Additional paper will be provided if needed. Problem 11 (30 pts: The circuit below is made using identical bulbs and an ideal battery. A) is bulb A brighter, dimmer, or the same brightness as bulb B? Explain. B) Is the current in bulb D greater than, less than or equal to the current through bulb F?Explain. C) Is the current in bulb B geater than, less than or equal to the current through bulb F? Explain. D) Bulb F is unscrewed from its sodket, opening the circuit. (the sodket remains in place) Does bulb B become brighter, dimmer, or sat the same brightness? Explain.

Explanation / Answer

suppose resistance of each bulb is R then,

D and E are in series, R1 = R + R = 2 R

now R1 and F are in parrallel,

1/R2 = 1/2R + 1/R

R2 = 0.67 R

left branch : Req = 2 R

right branch : Req = 1.667R

hence more current will flow to the right branch,

so A will be dimmer then B.

(B) DE branch and F branch are in parallel hence will have same potential diff.

but DE branch has more resiistance than F.

so current in D will be less than F.

(C) now on right side: Req = 3 R

(intially it was 1.667R )
so less current to the right branch.

so bulb B will be dimmer now.

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