I) Find the Req of the circuit in terms of R (each bulb is R) II) Rank the bulbs

Question

I) Find the Req of the circuit in terms of R (each bulb is R)

II) Rank the bulbs in order brightest to dimmest..EXPLAIN WHY USING EQUATION (This is most improtant to me)

III) If we remove bulb C, how does the brighteness of the other bulbs change? AGAIN EXPLAIN WHY USING EQUATION so I can understand.

Thank you!!!

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Find the Req of the circuit in terms of R (each bulb is R) Rank the bulbs in order brightest to dimmest..EXPLAIN WHY USING EQUATION (This is most improtant to me) If we remove bulb C, how does the brighteness of the other bulbs change? AGAIN EXPLAIN WHY USING EQUATION so I can understand.

Explanation / Answer

the equivalent resis = the sum of the equivalent resistance in the two branches

the two branches are paralle to each other

the final branch resistance R1= Rd+Re =2R

and the 1st branch resistance R2 = Ra + [Rb*Rc/Rb+Rc]=3R/2

so the final equivalent = R1 *R2 /R2+R1

as each bulb is R than the final Resistance = 0.85R

b] the bulbs brightness depends on the current passing through it as it will be easy to deal with the current trough them as the Resistance is same for them so we can easily compare the power by I^2 R

by just knowing the current passing through them

as we see that the equivalent resistance of the first branch is less than the equivalent resistance of the second

so the current in 1st bramch is greater than the second

so the brightness of the bulbs is in this manner = A>D=E>B=C

c]if we remove bulb C the equivalent resistance changes and all the bulbs begin to glow with the same brightness as the current is equally divided among the two branches

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