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If two household lightbulbs rated 60 W and 100 W are connected in series to household power, which will be brighter? Explain.

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Suppose you are doing a physics lab that asks you to put a resistor into a circuit, but all the resistors supplied have a larger resistance than the requested value. How would you connect the available resistances to attempt to get the smaller value asked for?

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Before World War II, some radios got power through a “resistance cord” that had a significant resistance. Such a resistance cord reduces the voltage to a desired level for the radio’s tubes and the like, and it saves the expense of a transformer. Explain why resistance cords become warm and waste energy when the radio is on.

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Some light bulbs have three power settings (not including zero), obtained from multiple filaments that are individually switched and wired in parallel. What is the minimum number of filaments needed for three power settings?

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Problem exercises

Note: Data taken from figures can be assumed to be accurate to three significant digits.

(a) What is the resistance of ten 275-Ω size 12{"275"- %OMEGA } {} resistors connected in series? (b) In parallel?

(a) 2 . 75 k Ω size 12{2 "." "75"" k" %OMEGA } {}

(b) 27 . 5 Ω size 12{"27" "." 5 %OMEGA } {}

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(a) What is the resistance of a 1.00 × 10 2 , a 2 . 50-kΩ , and a 4 . 00-k Ω size 12{4 "." "00""-k" %OMEGA } {} resistor connected in series? (b) In parallel?

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What are the largest and smallest resistances you can obtain by connecting a 36 . 0-Ω , a 50 . 0-Ω size 12{"50" "." 0- %OMEGA } {} , and a 700-Ω size 12{"700"- %OMEGA } {} resistor together?

(a) 786 Ω size 12{"786" %OMEGA } {}

(b) 20 . 3 Ω size 12{"20" "." 3 %OMEGA } {}

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An 1800-W toaster, a 1400-W electric frying pan, and a 75-W lamp are plugged into the same outlet in a 15-A, 120-V circuit. (The three devices are in parallel when plugged into the same socket.). (a) What current is drawn by each device? (b) Will this combination blow the 15-A fuse?

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Your car’s 30.0-W headlight and 2.40-kW starter are ordinarily connected in parallel in a 12.0-V system. What power would one headlight and the starter consume if connected in series to a 12.0-V battery? (Neglect any other resistance in the circuit and any change in resistance in the two devices.)

29 . 6 W size 12{"29" "." 6" W"} {}

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(a) Given a 48.0-V battery and 24 . 0-Ω size 12{"24" "." 0- %OMEGA } {} and 96 . 0-Ω size 12{"96" "." 0- %OMEGA } {} resistors, find the current and power for each when connected in series. (b) Repeat when the resistances are in parallel.

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Referring to the example combining series and parallel circuits and [link] , calculate I 3 size 12{I rSub { size 8{3} } } {} in the following two different ways: (a) from the known values of I size 12{I} {} and I 2 size 12{I rSub { size 8{2} } } {} ; (b) using Ohm’s law for R 3 size 12{R rSub { size 8{3} } } {} . In both parts explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors .

(a) 0.74 A

(b) 0.742 A

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Referring to [link] : (a) Calculate P 3 size 12{P rSub { size 8{3} } } {} and note how it compares with P 3 size 12{P rSub { size 8{3} } } {} found in the first two example problems in this module. (b) Find the total power supplied by the source and compare it with the sum of the powers dissipated by the resistors.

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Refer to [link] and the discussion of lights dimming when a heavy appliance comes on. (a) Given the voltage source is 120 V, the wire resistance is 0 . 400 Ω size 12{0 "." "800" %OMEGA } {} , and the bulb is nominally 75.0 W, what power will the bulb dissipate if a total of 15.0 A passes through the wires when the motor comes on? Assume negligible change in bulb resistance. (b) What power is consumed by the motor?

(a) 60.8 W

(b) 3.18 kW

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A 240-kV power transmission line carrying 5.00 × 10 2 A is hung from grounded metal towers by ceramic insulators, each having a 1 . 00 × 10 9 size 12{1 "." "00"´"10" rSup { size 8{9} } - %OMEGA } {} resistance. [link] . (a) What is the resistance to ground of 100 of these insulators? (b) Calculate the power dissipated by 100 of them. (c) What fraction of the power carried by the line is this? Explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors .

The diagram shows a grounded metal transmission tower. Two ground conductors on top of the tower point out like antennas. Hanging from the tower are a set of three bundled conductors, one on either end and one in the middle.
High-voltage (240-kV) transmission line carrying 5.00 × 10 2 A is hung from a grounded metal transmission tower. The row of ceramic insulators provide 1.00 × 10 9 Ω size 12{1 "." 0 times "10" rSup { size 8{9} } %OMEGA } {} of resistance each.
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Show that if two resistors R 1 size 12{R rSub { size 8{1} } } {} and R 2 size 12{R rSub { size 8{2} } } {} are combined and one is much greater than the other ( R 1 >> R 2 size 12{R rSub { size 8{1} } ">>"R rSub { size 8{2} } } {} ): (a) Their series resistance is very nearly equal to the greater resistance R 1 size 12{R rSub { size 8{1} } } {} . (b) Their parallel resistance is very nearly equal to smaller resistance R 2 size 12{R rSub { size 8{2} } } {} .

(a) R s = R 1 + R 2 R s R 1 R 1 >> R 2 alignl { stack { size 12{R rSub { size 8{s} } =R rSub { size 8{1} } +R rSub { size 8{2} } } {} #drarrow R rSub { size 8{s} } »R rSub { size 8{1} } left (R rSub { size 8{1} } ">>"R rSub { size 8{2} } right ) {} } } {}

(b) 1 R p = 1 R 1 + 1 R 2 = R 1 + R 2 R 1 R 2 size 12{ { {1} over {R rSub { size 8{p} } } } = { {1} over {R rSub { size 8{1} } } } + { {1} over {R rSub { size 8{2} } } } = { {R rSub { size 8{1} } +R rSub { size 8{2} } } over {R rSub { size 8{1} } R rSub { size 8{2} } } } } {} ,

so that

R p = R 1 R 2 R 1 + R 2 R 1 R 2 R 1 = R 2 R 1 >> R 2 . alignl { stack { size 12{R rSub { size 8{p} } = { {R rSub { size 8{1} } R rSub { size 8{2} } } over {R rSub { size 8{1} } +R rSub { size 8{2} } } } » { {R rSub { size 8{1} } R rSub { size 8{2} } } over {R rSub { size 8{1} } } } } {} #=R rSub { size 8{2} } left (R rSub { size 8{1} } ">>"R rSub { size 8{2} } right ) "." {} } } {}

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Unreasonable Results

Two resistors, one having a resistance of 1 45 Ω size 12{1"45 " %OMEGA } {} , are connected in parallel to produce a total resistance of 150 Ω size 12{150 %OMEGA } {} . (a) What is the value of the second resistance? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

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Unreasonable Results

Two resistors, one having a resistance of 9 00 kΩ size 12{9"00 k" %OMEGA } {} , are connected in series to produce a total resistance of 0 . 500 MΩ size 12{0 "." "500 M" %OMEGA } {} . (a) What is the value of the second resistance? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

(a) - 400 k Ω size 12{ +- "400 k" %OMEGA } {}

(b) Resistance cannot be negative.

(c) Series resistance is said to be less than one of the resistors, but it must be greater than any of the resistors.

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Questions & Answers

the definition of photon
Bright Reply
8kg of a hot liquid initial T is 90°© is missed with another liquid 3kg at 20° calculate e équilibrium T
Balki Reply
8kg of a hot liquid initial T is 90°© is missed with another liquid 3kg at 20° calculate e équilibrium T
Balki
answer plz
Bright
what are the products when acid and base mixed?
Austin
salt and water
Gift
What's this place about?
michael
@Austin your answer should be SALT and WATER
michael
salts and water
Roben
what work done
Dennis Reply
work done is the product of force and distance moved in the direction of force
Gift
Work done = force (F) * distance (D)
abdulsalam
what is resounance
Abdul
y
Tracy
explain the three laws of isaac Newton with the reference
glory Reply
1st law ; a body will continue to stay at a state of rest or continue to move at a uniform motion on a straight line unless an external force is been acted upon
Austine
3rd law; in every action there is an equal or opposite reaction
Austine
2nd law: F=ma
Austine
why am i not having access to the Link in your exemples /figures ?
Augustine Reply
what is circut
hasiya Reply
newtons law of motion
hasiya
First law:In an inertial frame of reference, an object either remains at rest or continues to move at a constant velocity, unless acted upon by a force.
Manan
is the ability to do work
Adjah Reply
Energy
Nwany
u from
Hejreen
any body online hain
Hejreen
ability to do work is energy
Irshad
what is energy
Mercy Reply
energy is ability of the capacity to doing work
shafiu
what is vector
mosco Reply
A quantity that has both magnitude and direction
Donaldo
can a body with out mass float in space
mosco
Is the quantity that has both magnitude and direction
Amoah
Yes it can float in space,e.g.polyethene has no mass that's why it can float in space
Amoah
that's my suggestion,any other explanation can be given also,thanks
Amoah
A charge of 1.6*10^-6C is placed in a uniform electric field in a density 2*5^10Nc^-1, what is the magnitude of the electric force exerted on the charge?
Omotosho Reply
what's phenomena
Enoch Reply
Phenomena is an observable fact or event.
Love
Prove that 1/d+1/v=1/f
James Reply
What interference
Moyinoluwa Reply
What is a polarized light called?
Moyinoluwa
what is a half life
Mama Reply
the time taken for a radioactive element to decay by half of its original mass
ken
what is radioactive element
mohammed
Half of the total time required by a radioactive nuclear atom to totally disintegrate
Justice
radioactive elements are those with unstable nuclei(ie have protons more than neutrons, or neutrons more than protons
Justice
in other words, the radioactive atom or elements have unequal number of protons to neutrons.
Justice
state the laws of refraction
Fabian
state laws of reflection
Fabian
Why does a bicycle rider bends towards the corner when is turning?
Mac
When do we say that the stone thrown vertically up wards accelerate negatively?
Mac
Give two importance of insulator placed between plates of a capacitor.
Mac
Macho had a shoe with a big sole moving in mudy Road, shanitah had a shoe with a small sole. Give reasons for those two cases.
Mac
when was the name taken from
Biola Reply
retardation of a car
Biola
when was the name retardation taken
Biola
did you mean a motion with velocity decreases uniformly by the time? then, the vector acceleration is opposite direction with vector velocity
Sphere
what's velocity
mosco
Velocity is the rate of change of displacement
Divya
Practice Key Terms 9

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Source:  OpenStax, College physics. OpenStax CNX. Jul 27, 2015 Download for free at http://legacy.cnx.org/content/col11406/1.9
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