Resistance (R)

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Current Electricity 2

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Resistance (R)

This is the ratio of the p.d. across a conductor to the current flowing through it.

i.e.

R = V I Unit: Ohm  http://micro.magnet.fsu.e

du/electromag/java/filam entresistance/

Ohm’s Law

This states that for certain conductors (mainly metals) the current flowing through them is directly proportional to the p.d. across them at a constant temperature.

i.e.

V  I or V = IR http://micro.magnet.fsu.edu/ele ctromag/java/ohmslaw/

Series Vs Parallel

+ _ Bulb + _

Resistors in Series and Parallel

R

1 In Series the total resistance is R = R 1 + R 2 + R 3

R

2

R

3

R

1

R

2

R

3 In Parallel the total resistance is 1 = 1 + 1 + 1 R R 1 R 2 R 3 http://lectureonline.cl.msu.edu/~mmp/kap20/RR506a.htm

Factors affecting Resistance of a conductor

Resistance depends on

Temperature Material of conductor Length Cross-sectional area

Temperature

The resistance of a metallic conductor increases as the temperature increases e.g. copper The resistance of a semiconductor/insulator decreases as the temperature increases e.g. thermistor.

Factors affecting Resistance of a conductor

Length

Resistance of a uniform conductor is directly proportional to its length.

i.e. R  L

Cross-sectional area

Resistance of a uniform conductor is inversely proportional to its cross sectional area.

i.e.

R  1 A

Factors affecting Resistance of a conductor

Material

The material also affects the resistance of a conductor by a fixed amount for different materials. This is known as resistivity (  ).

R =

L A

= R

d 4 L 2

 = constant of proportionality Unit: ohm meter  m (For a wire with circular cross-sectional area)

I A

Wheatstone Bridge

B Uses

Temperature control Fail-Safe Device (switch circuit off) Measure an unknown resistance

R 1 = R 3 R 2 R 4

(When it’s balanced)

C Metre Bridge R 1 = R 2 (| AB |) | BC |

www.dwiarda.com/scientific/Bridge.html

D

1.

2.

3.

Effects of an Electric Current

Heat Chemical Magnetic

Joule’s Law

States that the rate at which heat produced in a conductor is directly proportional to the square of the current provided its resistance is constant i.e.

P = I 2 R

In order to prevent power lines from overheating, electricity is transmitted at a very high voltage (EHT: Extra High Tension). From Joule’s law the larger the current the more heat produced hence a transformer is used to increase voltage and lower current i.e. P = V I

Effects of an Electric Current

Electrolysis is the chemical effect of an electric current Voltameter consists of electrodes, an electrolyte and a container Inactive electrodes are electrodes that don’t take part in the chemical reaction e.g. platinum in H 2 SO 4 Active electrodes are electrodes that take part in the chemical reaction e.g. copper in CuSO 4

Effects of an Electric Current

Ion is an atom or molecule that has lost or gained 1 or more electrons Charge Carriers in an electrolyte are + and – carriers

Uses

Electroplating to make metal look better, prevent corrosion Purifying metals Making electrolytic capacitors

Relationship between V and I for conductors

Metallic conductor

Negative electrons are the charge carriers I

Filament bulb

Negative electrons are the charge carriers I

Semiconductor

Negative electrons and positive holes are the charge carriers I V V V

Relationship between V and I for conductors

Active electrodes

Positive and negative ions are the charge carriers

Inactive (Inert) electrodes

Positive and negative ions are the charge carriers

Gas

Positive and negative ions and electrons are the charge carriers I I I

Vacuum

Electrons are the charge carriers I V V V V

Domestic Electric Circuits

Electricity entering the home is supplied at 230V a.c.

2 wires enter the house from the mains: Live + neutral and pass through the meter box These 2 wires pass into a distribution box with fuses

Domestic Electric Circuits

Radial circuit

are used for appliances that take a large current. Each closed circuit has its own live wire, neutral wire and fuse e.g. cooker, electric shower

Ring circuit

to sockets. are used for connections Live terminals are connected together as are the neutral terminals

Lights

are connected in parallel and a number of them are connected to the same fuse

Domestic Electric Circuits

Safety in house circuits

Switch: should always be connected in the live wire Fuse: piece of wire that will melt when a current of a certain size passes though it. Connected to the live wire.

Domestic Electric Circuits

Safety in house circuits

MCBs: miniature circuit breakers are found in the distribution box. They are bimetallic strips(for small currents) and electromagnets (for large currents). Can be reset when the switch trips, faster than fuse.

RCDs: residual current devices protect sockets and people against electrocution by detecting a difference between current in live and neutral wire (30 mA).

Domestic Electric Circuits

Safety in house circuits

Bonding: All metal taps, pipes, water tanks etc are connected to the earth Earthing: Earth wire prevents electrocution from touching metal parts of appliances by providing a path of least resistance when faults occur.

E.S.B

Kilowatt-hour kWh

This is the amount of energy used by a 1000 W appliance in one hour • The ESB charge bills based on the no. of units, kWh, used in the home

                  

Credits

Slide 2: Resistors image  www.sffej.net/educational/resistor_Colour.htm

Resistor colour codes  www.radiodaze.com/rescarbcomp.htm

Slide 3: George Ohm image~ www.past.dk/artefacts/photos/53/photo-1113908435-89551-5995.tkl?o

Slide 4: None (Note: Use P, for previous and N, for next on key board to go back and forth between photos if no remote control available. Both circuits are connected to a 12V power supply and can be compared in terms of how bright the 3 bulbs are) Slide 5: None Slide 6: Temperature and resistance animation ~ Science Joy Wagon ( www.sciencejoywagon.com

)  www.regentsprep.org/Regents/physics/phys03/bresit/default.htm

Slide 7: Cross sectional area and resistance animation ~ Science Joy Wagon ( www.sciencejoywagon.com

)  www.regentsprep.org/Regents/physics/phys03/bresit/default.htm

Slide 8: Resistors image 

http://homepages.nildram.co.uk/~vwlowen/radio/alarm/how2.htm

Slide 9: Sir Charles Wheatstone image ~ from the BT Connected Earth Collection.  See www.connected-earth.com

Slide 10: Sunset Power Lines  www.tonyboon.co.uk/imgs/pages/powerlines.htm

Slide 11: Hoffman Voltameter image  www.dalefield.com/earth/hydrogen1.html

Slide 12: Electroplating image ~ www.finishing.com/faqs/howworks.html

Slide 13: None Slide 14: None Slide 15: Circuit Breaker image ~ Edfenergy  www.edfenergy.com/powerup/keystage3/in/page2.html

Slide 16: Circuit Breaker image ~ Edfenergy as above Light Circuit image ~ www.buzzybee.org/diy/projects/electrical/lighting/wiring.html

Slide 17: None Slide 18: None Slide 19: None Slide 20: None