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3Current Electricity.notebook 1 May 08, 2014 Current Electricity Why does water flow downhill?

May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Page 1: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

3­Current Electricity.notebook

1

May 08, 2014

Current Electricity

Why does water flow downhill?

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Page 4: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Khujut Rabu

National Museum of Iraq

1936

Wilhelm Konig

(about $7)

1798

1745­1827

Where did we get the battery?

Voltaic Pile

Count Alessandro Volta

Page 5: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Dutch & Germans

1744

Before batteries, electricity was hardly worth it.

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1Acid will attack the zinc, and

dissolve it; zinc ion enters the solution, leaving behind two electrons.

2Electrolyte momentarily becomes positively

charged.

3Electrons are pulled off of the

carbon electrode.

A battery can sustain a voltage across its terminals independently through the use of chemistry.

Chemistry to the rescue!

Page 7: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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May 08, 2014

Cathode vs Anode Confusion

From your Chemistry class: ­Anode

+ Cathode

Most physics books (who dare):

dictonary.com

wiktionary.org

Page 8: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Conventional Currentidea that positive charges flow

(Ben Franklin)

Electron Flowidea that negative charges flow

(modern)

Direct Currentcharges only flow in one direction

charges never turn around

Alternating CurrentCharges vibrate and are not actually displaced

V V

t

t

Page 9: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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http://www.energizer.com/learning­center/pages/how­batteries­work.aspx

Significance of a battery:it is a self sustaining voltage source

The modern battery is a beautiful thing!

Page 10: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Closed Circuitunbroken

conducting path from anode to

cathode

Page 11: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Georg Simon Ohm 1789 – 1854) German

Resistancesignificant restriction on charge flow

Ohm's LawV = I R

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Currentrate of flow of charge

André­Marie Ampère 1775 – 1836French

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Page 14: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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2. A CD ROM drive in a laptop computer uses a current of 0.27 A in one minute. How many electrons pass through the device?

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3. A toaster has a resistance of 14 Ω and is plugged into a 120-V outlet. What is the current in the toaster?

Page 17: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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6. A battery charger is connected to a dead battery and delivers a current of 6.0 A for 5.0 hours, keeping the voltage across the battery terminals at 12V in the process. How much energy is delivered to the battery?

Page 18: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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8. The resistance of a bagel toaster is 14Ω. To prepare a bagel, the toaster is operated for one minute from a 120-V outlet. How much energy is delivered to the toaster?

Page 19: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Electromotive Forcevoltage across the terminals of a battery when it is NOT connected

to a circuit

Terminal Voltagetrue, actual voltage of a batteryespecially when it is connected

in a circuit

Terminal Electromotive Internal VoltageVoltage Force Losses= ­

V = - i r

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Resistance and Resistivity

R = ρ LA

(on formula sheet)

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11. A coil of wire has resistance of 38.0 Ω at 25 and 43.7 Ω at 55 . What is the temperature coefficient of resistivity?

Page 27: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Electric Power

(on formula sheet)

Page 28: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Electric PowerSubstituting V = IR into P = IV:

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Series Wiring Series wiring means that the devices are connected in such a waythat there is the same electric current through each device.

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Parallel wiring means that the devices are connected in such a way that the same voltage is applied across each device.

Parallel Wiring

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The two parallel pipe sections are equivalent to a single pipe of thesame length and same total cross sectional area.

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Basic Circuit Analysis (Packet Pg 1)

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Packet Pg 13

Page 41: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Gustav Kirchhoff1824­1887German

What if the circuits are more complicated?

I have ways to make stubborn circuits behave!

Page 42: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Kirchhoff's Loop Theorem(aka Conservation of Energy)

Ʃ V = 0The sum of all the voltages around a closed loop is zero.

Page 43: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Kirchhoff's JunctionTheorem(aka Conservation of Charge)

What flows into a junction must flow out of the junction.

Page 44: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Packet Pg 13

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Signs on Voltages with Kirchhoff's Loop Rule

Battery Resistor

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Packet Pg 20

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Capacitors in a Circuit

V = 20.0 VoltsC = 8.00 mF

After the circuit comes to a steady state, how much charge is stored on the capacitor?

Steady StateCapacitor(s) are "full"

ΔV across capacitor(s) balances ΔV across battery

Hint: Q = CV

Q = (8.00x10­3 C/V) (20.0 V) Q = 0.160 C

Page 50: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Capacitors in ParallelV = 20.0 VoltsC1 = 8.00 mFC2 = 10.0 mF

After the circuit comes to a steady state, how much charge is stored on each capacitor?

Hint: Q = CV

Q1 = 0.160 CQ2 = 0.200 C

Page 51: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Capacitors in ParallelV = 20.0 VoltsC1 = 8.00 mFC2 = 10.0 mF

Q1 = 0.160 CQ2 = 0.200 C

Notice something: Q1 + Q2 = 0.360 C

which is the same as (C1 + C2) V (18.0x10­3)(20.0) = 0.360C

Equivalent Capacitance of Capacitors in ParallelCp = C1 + C2 + C3 + ...

(on formula sheet)

Page 52: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Capacitors in ParallelV = 20.0 VoltsC1 = 8.00 mFC2 = 10.0 mF

After the circuit comes to a steady state, how much charge is stored on each capacitor?

Hint: Q = CV

Q1 = 0.160 CQ2 = 0.200 C

Page 53: May 08, 2014 · Count Alessandro Volta. 3Current Electricity.notebook 5 May 08, 2014 Dutch & Germans 1744 Before batteries, electricity was hardly worth it

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Capacitors in ParallelV = 20.0 VoltsC1 = 8.00 mFC2 = 10.0 mF

Q1 = 0.160 CQ2 = 0.200 C

Notice something: Q1 + Q2 = 0.360 C

which is the same as (C1 + C2) V (18.0x10­3)(20.0) = 0.360C

Equivalent Capacitance of Capacitors in ParallelCp = C1 + C2 + C3 + ...

(on formula sheet)

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Capacitors in Series

...

All capacitors in series, regardless of their capacitances, contain charges of the same magnitude, +q and ­q, on their plates.

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Resistor ­ Capacitor Circuits

Capacitor Charging:

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Capacitor Discharging:

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