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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

how does Neisseria cause meningitis
Nyibol Reply
what is microbiologist
Muhammad Reply
what is errata
Muhammad
is the branch of biology that deals with the study of microorganisms.
Ntefuni Reply
What is microbiology
Mercy Reply
studies of microbes
Louisiaste
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Ziyad Reply
How bacteria create energy to survive?
Muhamad Reply
Bacteria doesn't produce energy they are dependent upon their substrate in case of lack of nutrients they are able to make spores which helps them to sustain in harsh environments
_Adnan
But not all bacteria make spores, l mean Eukaryotic cells have Mitochondria which acts as powerhouse for them, since bacteria don't have it, what is the substitution for it?
Muhamad
they make spores
Louisiaste
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the significance of food webs for disease transmission
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food webs brings about an infection as an individual depends on number of diseased foods or carriers dully.
Mark
explain assimilatory nitrate reduction
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Assimilatory nitrate reduction is a process that occurs in some microorganisms, such as bacteria and archaea, in which nitrate (NO3-) is reduced to nitrite (NO2-), and then further reduced to ammonia (NH3).
Elkana
This process is called assimilatory nitrate reduction because the nitrogen that is produced is incorporated in the cells of microorganisms where it can be used in the synthesis of amino acids and other nitrogen products
Elkana
Examples of thermophilic organisms
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Give Examples of thermophilic organisms
Shu
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Prevent foreign microbes to the host
Abubakar
they provide healthier benefits to their hosts
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They are friends to host only when Host immune system is strong and become enemies when the host immune system is weakened . very bad relationship!
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cell is the smallest unit of life
Fauziya
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Innocent
cell is the structural and functional unit of life
Hasan
is the fundamental units of Life
Musa
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There are nothing like emergency disease but there are some common medical emergency which can occur simultaneously like Bleeding,heart attack,Breathing difficulties,severe pain heart stock.Hope you will get my point .Have a nice day ❣️
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part of a tissue or an organ being wounded or bruised.
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Binomial nomenclature
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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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