Consider the circuit below. All the bulbs are identical.Note, the filament of a bulb is just a resistor, and the brightness of a bulb is determined by thepower dissipated in its filament.BCDE (a) The brightness of a bulb is proportional to the power dissipated in it. Rank the bulbs in the figurebelow in order of their brightness, assuming they are all identical. DO NOT answer using anycalculations - work out and explain the relationships using physical argument (though you maycheck your answers using calculations.) To do so, rank them in order of the current through themand voltage across them (since they are identical, the voltage and current ranking will be the same,and therefore the power (product of current times voltage) will also follow the same ranking.)Determine the ranking using what you know about voltages, currents, and resistances in circuits.For the rest of the problem, assume a value of 100 for the resistances and 12V for the battery.These are now quantitative questions.(b) Find the equivalent resistance of the circuit using 100 for the resistances.(c) Find the current and power provided by the battery using 100 for the resistances and 12V for thebattery.(d) Find the voltage across, current through, and power dissipated in each bulb, again, using theseresistance and battery voltage values.(e) Check that these quantitative results are consistent with your answers to part a.(f) Also check at least one relationship you did not use in the calculation of the power of each bulb. Forexample, if you used a previously calculated current to find the voltages across B and C, check thatthese voltages add up to the voltage across D, or check the total power in the resistors equals thebattery power.

Given data: Five bulbs A,B,C,D,E each having resistance R = 10 ohms. Voltage v = 12 V Only 3 parts…

Answered: Consider the circuit below. All the…

Consider the circuit below. All the bulbs are identical. Note, the filament of a bulb is just a resistor, and the brightness of a bulb is determined by the power dissipated in its filament. I B C D E

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 41P: Consider the circuit shown below, (a) I1,I2,I3,I4,andI5 (b) Find the power supplied by thevoltage...

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Question

Consider the circuit below. All the bulbs are identical.
Note, the filament of a bulb is just a resistor, and the brightness of a bulb is determined by the
power dissipated in its filament.
B
C
D
E

(a) The brightness of a bulb is proportional to the power dissipated in it. Rank the bulbs in the figure
below in order of their brightness, assuming they are all identical. DO NOT answer using any
calculations - work out and explain the relationships using physical argument (though you may
check your answers using calculations.) To do so, rank them in order of the current through them
and voltage across them (since they are identical, the voltage and current ranking will be the same,
and therefore the power (product of current times voltage) will also follow the same ranking.)
Determine the ranking using what you know about voltages, currents, and resistances in circuits.
For the rest of the problem, assume a value of 100 for the resistances and 12V for the battery.
These are now quantitative questions.
(b) Find the equivalent resistance of the circuit using 100 for the resistances.
(c) Find the current and power provided by the battery using 100 for the resistances and 12V for the
battery.
(d) Find the voltage across, current through, and power dissipated in each bulb, again, using these
resistance and battery voltage values.
(e) Check that these quantitative results are consistent with your answers to part a.
(f) Also check at least one relationship you did not use in the calculation of the power of each bulb. For
example, if you used a previously calculated current to find the voltages across B and C, check that
these voltages add up to the voltage across D, or check the total power in the resistors equals the
battery power.

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