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Transcript
241-205
12
Electric Circuit
Electric Circuits
Capacitors
DK
Capacitors
1
Chapter 12
Capacitors
Electric Circuit
Capacitors
2
OUTLINE
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Capacitors
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Capacitors
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Capacitors
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Capacitance is a measure of a capacitor’s ability to store charge.
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A capacitor stores energy in the form of an electric field that is
established by the opposite charges stored on the two plates.
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The energy stored by the capacitor is :
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The voltage rating specifies the maximum dc voltage that
can be applied without risk of damage to the device.
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The temperature coefficient indicates the amount and direction
of a change in capacitance value with temperature. A positive
temperature coefficient mean that the capacitance increase with
an increase in temperature or decrease with a decrease in
temperature. A negative temperature coefficient mean that the
capacitance decrease with an increase in temperature or
increase with a decrease in temperature.
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The dielectric of any capacitor will conduct some very small
amount of current. Thus, the charge on a capacitor will eventually
leak off.
Equivalent circuit for non ideal capacitor
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Capacitance is directly proportional to the physical size of
the plates as determined by the plate area, A.
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Capacitance isinversely proportional to the distance
between the plates.
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The measure of a material’s ability to establish an electric
field is called the dielectric constant or relative permittivity,
symbolized by
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Capacitor values are indicated on the body of the capacitor either
by typographical labels or by color codes. Typographical labels
consist of letters and numbers that indicate various parameters such
as capacitance, voltage rating and tolerance.
For example
ceramic capacitor marked .001 or .01 has units of microfarad or
50 or 330 has units of microfarad.
some case 103 mean 10,000 pF
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The voltage across each capacitor in series is inversely proportional
to its capacitance value.
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What is the total capacitance? and what is the voltage
across each capacitor?
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Exponential voltage curves for the charging of an RC circuit
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Exponential voltage curves for the discharging of an RC circuit
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VF and IF are the final values of voltage and current.
Vi and Ii are the initial values of voltage and current.
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Determine the capacitor voltage 50 s after the switch is closed if
the capacitor is initially uncharged, Draw the charging curve.
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Determine the capacitor voltage at a point in time 6 ms after the
switch is closed. Draw the discharging curve.
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How long will it take the initially capacitor to charge to 75 V?
What is the capacitor voltage 2 ms after the switch is closed?
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Decreasing exponential formula
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Increasing exponential formula
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How long will it take the capacitor to discharge to 25 V when the switch
is closed ?
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Calculate the voltage across the capacitor every 0.1 ms for one
period of input. Then sketch the capacitor waveform
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Determine the capacitive reactance when the frequency of a sinusoidal
voltage is 1 kHz.
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The reactance of a capacitor is analogous to the resistance of a
resistor.
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Determine the rms current.
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Determine the reactive power.
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