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Capacitors
20/12/2014 Capacitors 1
Definition of capacitors
A capacitor is a device for storing electric
charge.
Capacitance equation
20/12/2014 Capacitors 2
V
Q
C 
20/12/2014 Capacitors 3
 Example
A 10 F capacitor has 10 V across it. What quantity of
charge is stored in it?
μC100
1010 6





CVQ
V
Q
C
Construction
Basically, capacitors consists of two metal
plates separated by an insulator. The
insulator is called dielectric. (e.g.
polystyrene, oil or air)
20/12/2014 Capacitors 4
Parallel plate capacitor
Absolute permittivity 0 =
Relative permittivity r
Area A
Distance between its plates d
20/12/2014 Capacitors 5
d
A
d
A
C r
 0
(F/m)1085.8 12

20/12/2014 Capacitors 6
= Ɛ 𝑟
Example
A parallel plate capacitor consists of two
metal plates, each of area A=150 cm ,
separated by a vacuum gap d=0.60 cm
thick. What is the capacitance of this device
c=
Ɛ0Ɛ 𝑟 𝐴
𝑑
=
(8.85×10−12)(150×10−2)
(0.60×10−2)
= 2.213 × 10−9
= 2.213nf
20/12/2014 Capacitors 7
Types of capacitors
20/12/2014 Capacitors 8
Mica Ceramic Plastic film
Electrolytic Polyester Variable
Uses of capacitors
20/12/2014 Capacitors 9
Heart defibrillators Camera flash units radio receivers
to eliminate sparking
in automobile ignition
systems
filters in power
supplies
Charging and discharging capacitors
20/12/2014 Capacitors 10
63 %
37 %
20/12/2014 Capacitors 11
V
Experiment
Time constant
The time constant is used to measure how
long it takes to charge a capacitor through a
resistor.
Energy
The energy stored in capacitor will given by
this equation
20/12/2014 Capacitors 12
 = CR
Partner Work
Question 1
Calculate the time constant.
T = R × C
= (47Ω) (1000 F)
= 47000 s
Question 2
Calculate the energy stored in a
10 F capacitor when it is charged
to 100 V.
20/12/2014 Capacitors 13
J0005010010
2
1
2
1 22  CVW
Parallel capacitor
20/12/2014 Capacitors 14
321 QQQQ 
321 VVVV 
11
VCQ 
𝐶 𝑇 = 𝐶1 + 𝐶2 + 𝐶3
Series capacitor
20/12/2014 Capacitors 15
321 VVVV 
𝐶 𝑇 =
1
1
𝐶1
+
1
𝐶2
+
1
𝐶3
321 QQQQ 
Group Work
Question 1. Find the total capacitance of
the three capacitors connected in parallel
with a 24-V battery.
𝐶 𝑇 = 𝐶1 + 𝐶2 + 𝐶3
𝐶 𝑇 = 2𝜇𝐹 + 4𝜇𝐹 + 6𝜇𝐹
𝐶 𝑇 = 12𝜇𝐹
20/12/2014 Capacitors 16
Question 2. Find the total capacitance of
the three capacitors connected in series with
a 24-V battery.
𝐶 𝑇 =
1
1
𝐶1
+
1
𝐶2
+
1
𝐶3
𝐶 𝑇 =
1
1
2𝜇𝐹
+
1
4𝜇𝐹
+
1
6𝜇𝐹
𝐶 𝑇 = 1.09𝜇𝐹
20/12/2014 Capacitors 17
Thank You for your listening
20/12/2014 Capacitors 18

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Capacitors new

  • 2. Definition of capacitors A capacitor is a device for storing electric charge. Capacitance equation 20/12/2014 Capacitors 2 V Q C 
  • 3. 20/12/2014 Capacitors 3  Example A 10 F capacitor has 10 V across it. What quantity of charge is stored in it? μC100 1010 6      CVQ V Q C
  • 4. Construction Basically, capacitors consists of two metal plates separated by an insulator. The insulator is called dielectric. (e.g. polystyrene, oil or air) 20/12/2014 Capacitors 4
  • 5. Parallel plate capacitor Absolute permittivity 0 = Relative permittivity r Area A Distance between its plates d 20/12/2014 Capacitors 5 d A d A C r  0 (F/m)1085.8 12 
  • 7. Example A parallel plate capacitor consists of two metal plates, each of area A=150 cm , separated by a vacuum gap d=0.60 cm thick. What is the capacitance of this device c= Ɛ0Ɛ 𝑟 𝐴 𝑑 = (8.85×10−12)(150×10−2) (0.60×10−2) = 2.213 × 10−9 = 2.213nf 20/12/2014 Capacitors 7
  • 8. Types of capacitors 20/12/2014 Capacitors 8 Mica Ceramic Plastic film Electrolytic Polyester Variable
  • 9. Uses of capacitors 20/12/2014 Capacitors 9 Heart defibrillators Camera flash units radio receivers to eliminate sparking in automobile ignition systems filters in power supplies
  • 10. Charging and discharging capacitors 20/12/2014 Capacitors 10 63 % 37 %
  • 12. Time constant The time constant is used to measure how long it takes to charge a capacitor through a resistor. Energy The energy stored in capacitor will given by this equation 20/12/2014 Capacitors 12  = CR
  • 13. Partner Work Question 1 Calculate the time constant. T = R × C = (47Ω) (1000 F) = 47000 s Question 2 Calculate the energy stored in a 10 F capacitor when it is charged to 100 V. 20/12/2014 Capacitors 13 J0005010010 2 1 2 1 22  CVW
  • 14. Parallel capacitor 20/12/2014 Capacitors 14 321 QQQQ  321 VVVV  11 VCQ  𝐶 𝑇 = 𝐶1 + 𝐶2 + 𝐶3
  • 15. Series capacitor 20/12/2014 Capacitors 15 321 VVVV  𝐶 𝑇 = 1 1 𝐶1 + 1 𝐶2 + 1 𝐶3 321 QQQQ 
  • 16. Group Work Question 1. Find the total capacitance of the three capacitors connected in parallel with a 24-V battery. 𝐶 𝑇 = 𝐶1 + 𝐶2 + 𝐶3 𝐶 𝑇 = 2𝜇𝐹 + 4𝜇𝐹 + 6𝜇𝐹 𝐶 𝑇 = 12𝜇𝐹 20/12/2014 Capacitors 16
  • 17. Question 2. Find the total capacitance of the three capacitors connected in series with a 24-V battery. 𝐶 𝑇 = 1 1 𝐶1 + 1 𝐶2 + 1 𝐶3 𝐶 𝑇 = 1 1 2𝜇𝐹 + 1 4𝜇𝐹 + 1 6𝜇𝐹 𝐶 𝑇 = 1.09𝜇𝐹 20/12/2014 Capacitors 17
  • 18. Thank You for your listening 20/12/2014 Capacitors 18