Capacitors Assignment Help

Electromagnetism - Capacitors

A device to store charge or electrostatic energy is called a capacitor.

Capacitance it is the capacity of a capacitor to store charge. In a capacitor Q ∝ V or Q = CV; C is called the capacitance 

C = (M1 L-2 T4 A2)

According to shapes, capacitors may be of three types: spherical parallel plate and cylindrical.

Unit of capacitance is faraday 1F (IC/IV)

IF is a very big unit, Therefore, µF or nF or µµ F (pF) and so on are used.

Spherical capacitors may be of two types
Isolated spherical capacitor 
Concentric spherical capacitor
Isolated spherical capacitor is a single sphere. Its capacitance is given by C = 4πε0where R is radius of the sphere.
Two concentric spherical shells or the inner one may be solid. 

C = 4πε0 (R2 R1) / (R2 - R1)

If a dielectric of strength K is introduced between R1 and R2

C = 4πε0 k R2 R/ R- R1    

Parallel plate capacitor 

If A is area of each plate and d is the separation between two plates then 

C = ε0 (A/d) with free space as dielectric

C = Kε0 (A/d) if a dielectric of strength k is added

If the dielectric slab has thickness t (t < d) then

If a dielectric of strength k is introduced in between electrolytic capacitors may have high values and go upto mF.

Capacitance of a cylindrical capacitor 

C = 2πε0l / log e r2 / r1

If the space between two cylinders is filled with a dielectric of strength k then 

C = 2πε0kl/r2

Log e r1

Magnitude of induced charge Qp = Q [1 - /1 / k]

Force between the plates of a capacitor (attractive force)

F = (Q2/2) A ε0

Energy stored (electrostatic) in a capacitor

U = (1/2) CV2 = Q2/2C = QV/2

Energy stored per unit volume = [(1/2) ε0E2]

Where E is electric field intensity. The capacitance of a variable tuning capacitor (used for tuning radio) having n plates is

C = (n - 1)A ε0/d where d is the separation between each plate.

If dielectrics are added in the manner shown, then the net capacitance from equivalent circuit is a parallel combination of C1, C2 and C3 Hence

C1 = ε0 K1 [(A/3)/d] C2 = ε0 K2 [(A/3)/d] C3 = ε0 K3 [(A/3)/d]

If the dielectrics are arranged as shown in ten from equivalent circuit it is evident that the net capacitance is a series combination of C1, C2 and C3 - Capacitors Assignment Help, Capacitors Homework Help, Capacitors Assignment Tutors, Capacitors Solutions, Capacitors Answers, Electromagnetism Assignment Tutors

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