01․ When a lossy capacitor with a dielectric of permittivity ε and conductivity σ operates at a frequency ω the loss tangent for the capacitor is given by
As C = Aε/d
R = d/(σ A)
CR = A ε/d
d/(σ A) = ε/σ
tanδ = I R/Ic = V/(R.Vω c) = I/(ω CR)
So, tan δ = I(ω ε/σ) = σ/(ω ε).

02․ An ac voltage source v = vo sinωt is connected across a parallel plate capacitor C. If the conductor current is ic and the displacement current is id, then which is true among following relation
The conduction current in the connecting wire
For Parallel plate capacitor of area A and plate thickness d,
C = ε A/d
Electric field E in the dielectric is E = v/d.
So, D = ε E = ε (Vo/d) sin ωt
Displacement current id
Therefore, ic = id.


03․ The laplace transform of the fuction f(t) = t is
04․ Conductance of any conductor is expressed as
Conductance is reciprocal of resistance that means conductance = (resistance) - 1 . Hence unit of conductance will be ( 1 / Ohm ) and this is known as mho.
05․ Three element having conductance G1, G2 and G3 are connected in parallel. Their combined conductance will be
We know that conductance is reciprocal of resistance i.e. resistance = 1 / conductance. Lets resistances of the said conductors are R1, R2 and R3.
The resistance of their parallel combination will be,
Therefore, conductance of the combination will be G1 + G2 + G3.


06․ Which of the following materials has highest electrical conductivity ?
Silver has the highest conductivity among all other materials used as an electrical conductor. Electrical conductivity measures materials ability to conduct a current. It is commonly represented by the Greek letter σ’ (sigma). Its SI unit is siemens per metre.
07․ The electrical conductivity of metal is typically of the order of (in ohm - m)
The electrical conductivity of metal is typically of the order of 107 ohm - m.
08․ Pure metal generally have
Pure metal always have high conductivity as well as high temperature coefficient. The resistance of metal greatly varies with temperature.
09․ Poorest conductor of electricity is
Carbon is a non metal.
10․ Which variety of copper has the best conductivity ?
Pure annealed copper has best conductivity.
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