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Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab [email protected]

Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab [email protected]

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Page 1: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Physics 106 Lesson #10

Circuits

Dr. Andrew Tomasch

2405 Randall Lab

[email protected]

Page 2: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

•Cells may be connected together to form a battery:

Review: Electrochemical Cells

• A basic electrochemical cell is constructed from two dissimilar metals (we used Copper and Zinc) and a chemical solution called the electrolyte (we used soft drink)

• The electrolyte is typically a strong acid or base, but sometimes a concentrated solution of chemical salts can also be used

++

Battery Cell

Page 3: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Review: Electrochemical Cells• Used to establish electric

current in a circuit• Transformation of

chemical energy stored in the cell to kinetic energy of the charge carriers (electrons)

• Two oppositely charged electrodes (terminals)

• An electrical potential difference (voltage) exists between the terminals

• Electric potential is potential energy per unit charge: Electirc Potential Energy = Charge x Voltage

EPE qV

Page 4: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Review: Cells in Series and Parallel

• A battery pack consists of four 1.2-volt cells in series (end-to-end)..

• The nominal voltage of the battery is the sum of the individual cell voltages = V × 4 = 4.8 V

• With parallel cells, the voltage stays the same = 1.2 V

• The amount of available charge increases → larger current

In series voltages add

In parallel current and capacity add

Page 5: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Review: Current• Definition: Current is the

amount of charge moving past a point per unit time

• Charge flows in a confined channel (wire) like a river

• Current is caused by potential differences (voltages)

• Charge is measured in Coulombs (C)

• The unit of current is the Ampere (A): 1 A = 1 C/s

“One Coulomb per second”

• 1 A = lots of moving charge (1 C = 6.25 x 1018 electrons)!

• Typical house: 200 A• Direct current (DC):

flows in one direction • Alternating current

(AC): flows back and forth

Ampere

Page 6: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Review: Cells, Batteries & Current

• When connected to a circuit, the potential difference between the cell or battery terminals creates an electric force on the charges in the conductor causing them to move and establishing an electric current

• The conventional current is from regions of higher potential to regions of lower potential, positive to negative

Conventional current

Page 7: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Review: Conventional Current and Electron Flow• Truth: the particles which

carry charge through wires in a circuit are mobile electrons

• Ben Franklin: positive charges move (oops!)

• The direction of current is by convention the direction in which a positive charge would move (so current flows from high potential to low potential)

Electron flow

Conventional Current

Page 8: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Good and Bad Wiring

• Good: • Bad:

• Ugly:

=

Broken!

Short!

No device!

Page 9: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

• Power has a precise definition in physics:

Power is the rate at which work is done or how much work is done per unit of time

The Mechanical Definition of Power

WP

t

Units: J/s Watt (W)

James Watt invented the steam engine

In an electric circuit power is the product of current and voltage:

Power I V

Page 10: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Resistors

When an extension cord is used with a space heater, the cord must have a resistance that is sufficiently small to prevent overheating of the cord

Resistors are used in appliances to convert electrical energy into thermal energy (heat) or light

Stove Heating Element

Toaster

Space Heater Light Bulb

Page 11: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Series Resistors

• For resistors R1 & R2 connected in series (sequentially), the current i passing through each resistor must be the same

• The voltages across

R1 & R2 must add up

to V

V+

Page 12: Physics 106 Lesson #10 Circuits Dr. Andrew Tomasch 2405 Randall Lab atomasch@umich.edu

Parallel Resistors• Resistors R1 & R2

connected in parallel have the same potential difference (voltage) V across them

• Charge must be conserved, so the currents I1 & I2 flowing through the two resistors must add up to the total current I leaving the battery (continuity for electric current!)

1 2I I I

+V