College Physics

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ampere:

bioelectricity:

direct current:

drift velocity:

electric current:

electric power:

electrocardiogram (ECG):

microshock sensitive:

nerve conduction:

Ohm’s law:

ohmic:

ohm:

resistance:

resistivity:

rms current:

rms voltage:

semipermeable:

shock hazard:

short circuit:

simple circuit:

temperature coefficient of resistivity:

thermal hazard:

(amp) the SI unit for current; 1 A = 1 C/s

electrical effects in and created by biological systems

(DC) the flow of electric charge in only one direction

the average velocity at which free charges flow in response to an electric field

the rate at which charge flows,I= ΔQ/Δt

the rate at which electrical energy is supplied by a source or dissipated by a device; it is the product of current times voltage

usually abbreviated ECG, a record of voltages created by depolarization and repolarization, especially in the heart

a condition in which a person’s skin resistance is bypassed, possibly by a medical procedure, rendering the person
vulnerable to electrical shock at currents about 1/1000 the normally required level

the transport of electrical signals by nerve cells

an empirical relation stating that the currentIis proportional to the potential differenceV,∝ V; it is often written asI = V/R, whereRis
the resistance

a type of a material for which Ohm's law is valid

the unit of resistance, given by 1Ω = 1 V/A

the electric property that impedes current; for ohmic materials, it is the ratio of voltage to current,R = V/I

an intrinsic property of a material, independent of its shape or size, directly proportional to the resistance, denoted byρ

the root mean square of the current,Irms=I 0 / 2, whereI 0 is the peak current, in an AC system


the root mean square of the voltage,Vrms=V 0 / 2, whereV 0 is the peak voltage, in an AC system


property of a membrane that allows only certain types of ions to cross it

when electric current passes through a person

also known as a “short,” a low-resistance path between terminals of a voltage source

a circuit with a single voltage source and a single resistor

an empirical quantity, denoted byα, which describes the change in resistance or resistivity of a material
with temperature

a hazard in which electric current causes undesired thermal effects

Section Summary


20.1 Current


• Electric currentIis the rate at which charge flows, given by


I=


ΔQ


Δt


,


whereΔQis the amount of charge passing through an area in timeΔt.



  • The direction of conventional current is taken as the direction in which positive charge moves.


• The SI unit for current is the ampere (A), where1 A = 1 C/s.



  • Current is the flow of free charges, such as electrons and ions.


• Drift velocityvdis the average speed at which these charges move.


• CurrentIis proportional to drift velocityvd, as expressed in the relationshipI=nqAvd. Here,Iis the current through a wire of cross-


sectional areaA. The wire’s material has a free-charge densityn, and each carrier has chargeqand a drift velocityvd.


• Electrical signals travel at speeds about 10


12


times greater than the drift velocity of free electrons.

20.2 Ohm’s Law: Resistance and Simple Circuits



  • A simple circuitisone in which there is a single voltage source and a single resistance.


• One statement of Ohm’s law gives the relationship between currentI, voltageV, and resistanceRin a simple circuit to beI=V


R


.


• Resistance has units of ohms (Ω), related to volts and amperes by1 Ω = 1 V/A.


• There is a voltage orIRdrop across a resistor, caused by the current flowing through it, given byV=IR.


20.3 Resistance and Resistivity


CHAPTER 20 | ELECTRIC CURRENT, RESISTANCE, AND OHM'S LAW 725
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