here , E = alternate EMF fed

I = alt. current developed

Z = impedance

Phi is the phase rel b/w E and I

cos phi = power factor

P_av  = Av power

X_L  = omega L

X_c = 1/ omega C





1) Quantity = E

in L (inductive) -  E = E_ocost

in C (capacitive) - E = E_ocost

in R (resistive) - E = E_ocost

in LR - E = E_ocost

in  RC - E = E_ocost

in LCR  - E = E_ocost

2) Quantity = I

In L ,  I = I_ocos (t + (pi/2))

In C , I = I_ocos (t + (pi/2))

In R , I = I_ocos(t)

In LR , I = I_ocos(t - phi)

In RC , I = I_ocos(t + phi)

In LCR , I = I_ocos(t   + (-) phi)

3)Quantity - Z

in L , Z = X_L

in C , Z = X_c

in R , Z = R

in LR , Z = ( R²+X_L²)^1/2


in CR , Z = (R² + X_c²)^1/2


in LCR , Z = ( R² + (X_L - X_c)²)^1/2

4) Quantity - Phi

in L , phi = pi/2

in C , phi = - pi/2

in R , phi = O ,

in LR , phi = tan^-1 (X_L / R)


in RC , phi = tan^-1 (X_C / R)


in LCR , phi = tan^-1 (X_L + X_C) / R

 

5) Quantity , cos (phi)...


in L , cos phi = 0

in C , cos phi = 0

in R , cos phi = 1

in LR , RC , LCR (in all 3), cos phi = R/Z


6) Quantity = P_av....=

in L , Pav = 0

in C , Pav = 0

in R , Pav = I_v²R

in LR , RC , LCR , Pav = E_VI_Vcos phi



SELF WRITTEN , HOPE THIS HELPS....

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