Capacitance and Capacitors with Example

Capacitance and Capacitors

Capacitance is the ratio of charged gained per potential gained of the conductors. Unit of capacitance is Coulomb per Volt and it is called as Farad (F).







Capacitance is a scalar quantity. Graph given below shows the relation of a charged gained and potential gained of conductor sphere.

capacitance graph










There is a linear relation between gained charge and gained potential. Slope of the graph gives us the capacitance of the sphere.





As I said before, farad is the unit of capacitance, however, we commonly use (pF) picofarad=10-12F, (µF) microfarad=10-6F and (nF) nanofarad=10-9F.

Sphere having radius r and charge q has capacitance;


capacitance of sphere







Capacitors are devices designed for storing charge. They are commonly used in computers or electronic systems. They consist of two conductor plates located with a distance to each other. They do not touch each other. When we connect the negatively charged plate with neutral sphere, they share total charge until the potentials become equal and leaves of the electroscope rises. Then we locate plate A with a distance d to B. Since we ground the plate it is neutral at the beginning. Since B is negatively charged it affects the plate A and it is positively charged by induction. If we put different insulator material between the plates like plastic the leaves of electroscope are a little bit closed. We can conclude that, capacitance of the plates depends on the distance between the plates.




In a circuit we represent the capacitor with the symbol;


And battery which supplies potential difference is represented by the symbol;


We show capacitors and battery in circuit as given below;

capacitor in circuits







Capacitance of a plate depends on;

· Area of the plates

· Distance between the plates d

· Dielectric constant between the plates εº


The capacitance of the plates is found with the following formula;

capacitance of plate



Dielectric constant between the plates εº depends on the type of material. For example, vacuum has ε=8, 85.10-12 F/m and water has ε=717.10-12F/m.


Example: Calculate the capacitance of the capacitor having dimensions, 30 cm X 40 cm and separated with a distance d=8mm air gap.


C= (8, 85.10-12C2/N.m2).0,12m2/8.10-3m

C=0, 13275.10-9 F


Electrostatics Exams and Solutions



sample of capacitor fomula
graph between capacitance and potential
capacitors and capacitance + example
example of capacitors
graph of potential difference vs charge for a capacitor
physics tutorials capacitance, capacitor
capacitor having a capacitance
capacitance of a sphere above a dielectric plate
capacitance graph
capacitors examples
capacitance capacitor
capacitor example
capacitors and capacitance
Capacitor and capacitance , formula and unit
Magnetic field vs radius graph between capacitor
capacitor and capacitance, formula and unit
finding capacitance from an energy against potential difference graph
Capacitor and capacitance, Formule and unit
graphs of capacitance
capacitance of a plate
capacitance of sphere and plate
what is the slope of capacitance vs area graph
capacitor symbol
capacitor charging graph exam questions
capacitance graphs physics
how the capacitance depends on area distance
examples for capacitors and capacitance in physics
examples of capacitance
the capacitance of a capacitor depends on
sample for capacitor
capacitance of a sphere
capacitance vs distance
Capacitance and Capacitors
calculating capacitance of capacitor example
sheet capacitance calculation example + problem
capacitance force per distance
capacitor charge graph finding the rate of change
magnetic field between capacitor graph
calculate capacitance of a capacitor example
capacitor in a magnetic field momentum
capacitance exam questions
exam question for capicitors
capacitor force vs energy formula
capacitance from slope of the graph
problems on capacitors and capacitance with solution
capacitance of capacitor
capacitance vs plate gap formula
spheres gap capacitance radius
capacitance of two spheres separated by a distance