Chp 10: Electrical circuits

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Kirchhoff's First Law

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Physics Year 1 OCR A Level

43 Terms

1

Kirchhoff's First Law

the sum of currents into a junction equals the sum of currents out of a junction

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2

Kirchhoff's Second Law

In any circuit, the sum of the electromotive forces is equal to the sum of pds around a closed loop

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3

What law of conservation is used for KL1?

Law of conservation of energy, which is applied to electric circuits, so law of conservation of charge

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4

sum of emf =

sum of pds around a closed loop

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5

Current in series circuit

Is the same everywhere

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6

Voltage in series circuit

split according to components resistance

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7

Voltage in a parallel circuit

voltage is the same across each closed loop

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8

in a parallel circuit the sum of the voltages in each closed circuit loop is equal to

the total emf of the power supply

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9

If the emfs are connected in opposite ways to each other...

you subtract them

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10

Parallel circuits: the greater the resistance of the branch

the lower the current that goes into it, because V=IR and V stays constant for the branches

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11

If there are several components in a loop, the sum of the pds across these components is equal to

the emf supplied by the battery

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12

Equation for resistors in series

R=R1 + R2 + R3

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13

Explain the equation for resistors in series

  • According to KL2 V=V1+V2

  • so IR= IR1 + IR2

  • I is a constant according to KL1 so R=R1+R2

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14

Equation for resistors in parallel

1/R = 1/R1 + 1/R2

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15

Four key equations

Q=It, E=VQ (E=VIt or W=VIt), P=VI, V=IR

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16

terminal pd

pd measured at the terminals

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17

What is the difference between the emf and the terminal pd called?

lost volts

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18

electromotive force=

terminal pd + lost volts, I(R+ r)

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19

define internal resistance

The resistance of a source of emf due to its construction, which causes a loss in energy/voltage as the charge passes through the source

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20

lost volts =

I x r, r=internal resistance

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21

Connecting cells in series...

increases emf but also increases internal resistance

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22

Connecting cells in parallel..

produce same emf as just one cell but provides greater current due to the reduced internal resistance

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23

What does a battery of negligible internal resistance mean?

emf=terminal pd

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24

Describe an experiment to determine internal resistance

  • connect an ammeter and variable resistor/potentiometer and switch in series and a voltmeter in parallel around the variable resistor

  • with switch open, record the reading V on the voltmeter

  • set variable resistor to max value, close switch and record V and I

  • make sure to open the switch between readings to avoid running the battery down/heating the circuit

  • vary the resistance of the variable resistor for 8 readings and take an average for each resistance

  • Plot V= -rI + E (V against I)

  • the negative gradient is the internal resistance

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25

Why is there a cell and a resistor labelled r in a circuit?

The resistor isn't really there, it represents cell's internal resistance

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26

Why do car batteries and many rechargeable batteries have small internal resistances?

allows them to be recharged using higher currents without overheating or wasting a lot of energy

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27

Why do high voltage power supplies in classrooms have a very high internal resistance?

prevents power supply from delivering a fatal electric current

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28

emf

energy transferred by the power supply per unit charge

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29

What is the relationship between work done, emf and charge?

W=eQ

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30

Potential dividers

circuits that produce an output voltage as a fraction of its input voltage

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31

Purposes of potential dividers

Split PD of power source between 2 or more components

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32

Potentiometer symbol

box with arrow pointing to it

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33

When using a potential divider, how to calculate what reading will show on a voltmeter? (potential divider equation)

look at what resistor the voltmeter is over, R1 and other resistor will be R2

  • V out = R1/R1+R2 x V in

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34

Loading a potential divider

connecting a component in parallel to the resistor that has a voltmeter over it in a potential divider circuit

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35

How to produce a varying V out in a potential divider?

replace fixed resistor with a variable resistor

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36

What is a potentiometer?

a variable resistor with 3 terminals and a sliding contact

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37

If I have a potentiometer and I slide the dial towards the left side, what happens to the output voltage on the left?

increases because resistance decreases

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38

State 4 advantages of using a potentiometer over a potential divider

can be made very compact, uses fewer components, can be easily turned into a rotary dial, allows full range of output potential difference from 0v to V in

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39

Describe a graph of V against I that describes how the terminal pd of a supply changes with the amount of current drawn

y intercept = emf supplied negative gradient, not very steep, linear relationship, as voltage decreases, current decreases

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40

How will VI graph change if you double emf and have the same internal resistance?

double y-intercept, same gradient: changes y intercept in same way

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41

How will VI graph change if you have the same emf and have half the internal resistance?

same intercept, half the gradient: changes the gradient in the same way

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42

What does a circuit with a potential divider that can be used as a temperature sensor so that output voltage increases with increasing temperature look like?

Thermistor in circuit, but since temp and resistance are inversely proportional, put voltmeter over the other resistor

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43

When you draw a circuit that includes internal resistance, denoted r, how should you draw it?

Draw resistor next to battery with little r above it and draw a dotted box around battery and resistor to show they are the same thing

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