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Summary

  • The two types of electric hazards are thermal (excessive power) and shock (current through a person). Electrical safety systems and devices are employed to prevent thermal and shock hazards.
  • Shock severity is determined by current, path, duration, and ac frequency.
  • Circuit breakers and fuses interrupt excessive currents to prevent thermal hazards.
  • The three-wire system guards against thermal and shock hazards, utilizing live/hot, neutral, and ground wires, and grounding the neutral wire and case of the appliance.
  • A ground fault circuit interrupter (GFCI) prevents shock by detecting the loss of current to unintentional paths.

Key equations

Terminal voltage of a single voltage source V terminal = ε I r eq
Equivalent resistance of a series circuit R eq = R 1 + R 2 + R 3 + + R N 1 + R N = i = 1 N R i
Equivalent resistance of a parallel circuit R eq = ( 1 R 1 + 1 R 2 + + 1 R N ) −1 = ( i = 1 N 1 R i ) −1
Junction rule I in = I out
Loop rule V = 0
Terminal voltage of N voltage sources in series V terminal = i = 1 N ε i I i = 1 N r i = i = 1 N ε i I r eq
Terminal voltage of N voltage sources in parallel V terminal = ε I i = 1 N ( 1 r i ) −1 = ε I r eq
Charge on a charging capacitor q ( t ) = C ε ( 1 e t R C ) = Q ( 1 e t τ )
Time constant τ = R C
Current during charging of a capacitor I = ε R e t R C = I o e t R C
Charge on a discharging capacitor q ( t ) = Q e t τ
Current during discharging of a capacitor I ( t ) = Q R C e t τ

Conceptual questions

Why isn’t a short circuit necessarily a shock hazard?

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We are often advised to not flick electric switches with wet hands, dry your hand first. We are also advised to never throw water on an electric fire. Why?

Not only might water drip into the switch and cause a shock, but also the resistance of your body is lower when you are wet.

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Problems

(a) How much power is dissipated in a short circuit of 240-V ac through a resistance of 0.250 Ω ? (b) What current flows?

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What voltage is involved in a 1.44-kW short circuit through a 0.100 - Ω resistance?

12.0 V

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Find the current through a person and identify the likely effect on her if she touches a 120-V ac source: (a) if she is standing on a rubber mat and offers a total resistance of 300 k Ω ; (b) if she is standing barefoot on wet grass and has a resistance of only 4000 k Ω .

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While taking a bath, a person touches the metal case of a radio. The path through the person to the drainpipe and ground has a resistance of 4000 Ω . What is the smallest voltage on the case of the radio that could cause ventricular fibrillation?

400 V

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A man foolishly tries to fish a burning piece of bread from a toaster with a metal butter knife and comes into contact with 120-V ac. He does not even feel it since, luckily, he is wearing rubber-soled shoes. What is the minimum resistance of the path the current follows through the person?

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(a) During surgery, a current as small as 20.0 μ A applied directly to the heart may cause ventricular fibrillation. If the resistance of the exposed heart is 300 Ω , what is the smallest voltage that poses this danger? (b) Does your answer imply that special electrical safety precautions are needed?

a. 6.00 mV; b. It would not be necessary to take extra precautions regarding the power coming from the wall. However, it is possible to generate voltages of approximately this value from static charge built up on gloves, for instance, so some precautions are necessary.

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Questions & Answers

calculate molarity of NaOH solution when 25.0ml of NaOH titrated with 27.2ml of 0.2m H2SO4
Gasin Reply
what's Thermochemistry
rhoda Reply
the study of the heat energy which is associated with chemical reactions
Kaddija
How was CH4 and o2 was able to produce (Co2)and (H2o
Edafe Reply
explain please
Victory
First twenty elements with their valences
Martine Reply
what is chemistry
asue Reply
what is atom
asue
what is the best way to define periodic table for jamb
Damilola Reply
what is the change of matter from one state to another
Elijah Reply
what is isolation of organic compounds
IKyernum Reply
what is atomic radius
ThankGod Reply
Read Chapter 6, section 5
Dr
Read Chapter 6, section 5
Kareem
Atomic radius is the radius of the atom and is also called the orbital radius
Kareem
atomic radius is the distance between the nucleus of an atom and its valence shell
Amos
Read Chapter 6, section 5
paulino
Bohr's model of the theory atom
Ayom Reply
is there a question?
Dr
when a gas is compressed why it becomes hot?
ATOMIC
It has no oxygen then
Goldyei
read the chapter on thermochemistry...the sections on "PV" work and the First Law of Thermodynamics should help..
Dr
Which element react with water
Mukthar Reply
Mgo
Ibeh
an increase in the pressure of a gas results in the decrease of its
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definition of the periodic table
Cosmos Reply
What is the lkenes
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what were atoms composed of?
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Practice Key Terms 3

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Source:  OpenStax, University physics volume 2. OpenStax CNX. Oct 06, 2016 Download for free at http://cnx.org/content/col12074/1.3
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