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ELEC209

FIRST SEMESTER EXAMINATIONS 2022/23

ELECTRICAL CIRCUITS & POWER SYSTEMS

Formula Table

Φ = BA

v = L di/dt

λ = NΦ = Li

λ 1 = N1 Φ 1 = N1 Φ 11  + N1 Φ 12

L1 i1 = N1 Φ 11

N1 Φ 12 = M12 i2

N2 Φ21 = M21 i1

V1  = jL1I1  jMI2

V2  = jL2I2   jMI1

φ21        φ12

φ11        φ22

k =    M    

      1    2

 

Voltage Ratio: V1/V2 = N1/N2

Current Ratio: I1/I2 = N2/N1

Impedance Ratio: Z1/Z2 = (N1/N2)2

 

vC = Vf + (Vi - Vf) e-t/τ  , where τ = RC

iL = If  + (Ii - If) e-t   , where τ = L/R

(R )t

i = Imsin(t +Ψ φ)  Imsin(Ψ φ)e  L

a> 0

a= 0

β = a2   02

it  = eat(A + Bt)

it  = eat(Aeβt  + Beβt)

I1  ] Y11

|    | = |

LI2  LY21

V1  ] Z11

|    | = |

LV2  LZ21

V1 ] T11

|    | = |

LI1  LT21

Y12  ]「  V1    ]

| |      |

Y22L  V2 

Z12 ]「  I1 ]

| |      |

Z22L  I2 

T12  ]「  V2 ]

| |      |

T22L− I2 

Energy = Heat Value × Mass

Mass = no. of litres × relative density of petrol

n = 120f/p

C =                   0         

ln(|  d  r)|

  r   )

 

 

F/m

L = 1 + 4 ln    H/m

 

pu1             B1                  pu1             B1           B2

  =                                               =                    

Zpu 2         SB 2              Zpu 2         SB2        VB12

Volume = A×v

1     3

P = 2 pv

s = s负s(−) = 

 

I =   Reff   + jXsc      V  2          (Reff 2  + Xsc 2 )   T

 

 

 

 

,

Vg   = I2 Zsc +VT

,

= I2  (Rsc + jXsc ) +VT

Reff   =   R1

a= 

 

0

it  = Ae(a+β)t  + Be(aβ)t  = eat(Aeβt  + Beβt)