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
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
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
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