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Xaverian Physics > DRAFT Module 6 Capacitors > Flashcards

DRAFT Module 6 Capacitors Flashcards

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1
Q

How is a capacitor constructed?

A

two parallel plates separated by an insulator so that no current can flow through

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2
Q

Describe the changes that take place in the circuit, in terms of movement of electrons, in a charging circuit with a capacitor

A

When switch is closed, electrons move from negative side of the power supply to a plate on the capacitor making it negative

An equal number of electrons leaves the parallel plate on the capacitor attracted by positive side of power supply

Plates have equal and opposite charges

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3
Q

What is the relationship between the charge and the voltage in a charging circuit?

A

directly proportional

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4
Q

What is the final PD across a charging capacitor?

A

same as EMF

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5
Q

How to calculate initial current when initial voltage is known?

A
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6
Q

Define capacitance

A

charge stored per unit potential difference

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7
Q

What are the units for capacitance?

A

F - farads

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8
Q

Define a farad

A

a Coulomb per unit Volt

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9
Q

Explain how the formula for energy stored in a capacitor, W=1/2QV is derived

A

V changes from zero to final V as Q increases

Average PD is V/2 (if plotted on graph of Q/V)

W=QV generally

W=1/2QV

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10
Q

Explain the missing energy from the formula W=1/2QV

A

Energy supplied by power supply is W=QV

Half the energy is missing

Missing energy is due to current in the wires producing heat (P=I^2R)

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11
Q

Give a practical use for capacitors

A

used to provide small bursts of current for camera flashes

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12
Q

What decreases exponentially for a discharging circuit?

A

V I and Q

voltage across capacitor
current
charge on capacitor

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13
Q

Explain how the formula for exponential decay can be manipulated to find time

A
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14
Q

Define time constant

A

time taken for the charge, current, or voltage, to reach 1/e of any initial value

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15
Q

What is the relationship between the value of the time constant and rate of exponential decay?

A

larger the time constant the slower the decay

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16
Q

What are the units for time constant?

A

seconds

17
Q

What is the constant ratio property?

A

Relevant for exponential decay

when at equal intervals, the value of x on y axis changes by the same ratio for any initial value of x

18
Q

What must be done to prove the constant ratio property for capacitors

A

Time intervals of τ (RC)

Value from 0 to τ of y axis must fall to 0.37 of original

Value of y axis from τ to 2τ must fall to o.37 of value at τ

Etc

19
Q

Explain how the time constant can be found from an exponential decay graph

A

take 0.37 of the original value on the y axis (I, Q or V) read to the x axis, that is τ

20
Q

Explain how the exponential decay equation can be altered to match y = mx+c

A
21
Q

When charging a circuit with a capacitor, how does the voltage across the resistor vary?

A

PD on the resistor decreases exponentially

22
Q

How can a constant current in charging of a capacitor be achieved?

A

Using a variable resistor which will be gradually reduced to keep current constant

23
Q

When do we know RC is not constant?

A

when current is constant, or charge and pd change at constant rates

24
Q

When does the spreadsheet method or iteration method work?

A

when values of change in t are much smaller than that of time constant

so charge or voltage assumed constant over time interval t

25
Q

What is ε?

A

permittivity

26
Q

What is d in the parallel plate formula?

A

distance between plates

27
Q

What is A in the parallel plate formula?

A

overlapping area of plates

28
Q

What is relative permittivity?

A

ratio of permittivity of material to that of free space

29
Q

What will happen if the separation of plates of parallel plate capacitor is changed when connected to power supply

A

PD remains constant so charge stored will change

30
Q

What will happen if the separation of plates of parallel plate capacitor is changed when not connected to power supply

A

charge remains constant so PD must change

31
Q

Explain why charge must remain the same for capacitors connected in series?

A

same number of electrons arrive to plates and leave, therefore the charge is same

32
Q

How is capacitance combined in series

A

add reciprocals of capacitances (same as parallel resistors)

33
Q

How is capacitance combined in parallel?

A

add capacitances

34
Q

Explain how capacitance is combined in parallel?

A

V is same (same in each branch)
Charge stored will be different if capacitors are different
Q=CV
Total Q = Q_1+Q_2 (charge is conserved)
CV = C_1V+C_2V
V cancels out as same

35
Q

Explain what formula is used for when finding how the pd across a resistor changes with time (capacitor charging)?

A

V=V0e^t/RC

Think, R is constant

I is same across a circuit and decreases exponentially

IR=I0Re^t/RC

And V = IR

36
Q

Why does the energy stored increase if the separation of two plates of a capacitor are increased?

A

plates are attracted to each other, work must be done by forces to separate

37
Q

What could be on the y axis of this graph for capacitor discharging over time?

A

Current I
Potential difference across the capacitor V
Charge across the capacitor Q

38
Q

What could be on the y axis of this graph for capacitor charging over time?

A

Current I
Potential difference across the resistor

39
Q

Which quantities could vary in this way over time (capacitors)?

A

time on x axis

on y axis
option 1: Charging circuit - could be charge on capacitor
option 2: Charging circuit - could be potential difference across capacitor
option 3: Discharging circuit - could be potential difference across resistor

Xaverian Physics (26 decks)

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