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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Electomagnetic Induction Formulae Page 2

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Coil Rotating in Uniform Magnetic Induction

8. Coil rotating in uniform magnetic induction .

 

 

  1. The flux passing through, the coil is f = nAB coswt
  2. E.m.f. induced in the coil
    e = e0 sinwt
    Where e0 = BnA
    w = peak emf
  3. Current flowing through the coil
    i = i0 sin
    wt

where i0 =  

e0

 peak value of current.

R


  1. w = angular velocity of coil
    n = number of turns of coil
    A = area of cross-section of coil
    B = magnetic induction

 

rms value of alternating current e.m.f.

9. rms value of alternating current / e.m.f.

 

 

 

 

irms =  

i0

 = 0.707 i0

 

where

irms = root mean square (rms) value of current

 

i0 = peak value of current.

 

erms =  

e0

 = 0.707 e0

 

where

erms = root mean square (rms) value of e.m.f

 

e0 = peak value of current.

 

a.c. voltage

10. In case of a purely resistive circuit to which an a.c. voltage is applied,

 

 

average power P = erms irms 

=

e0

i0

 

=

e0 i0

2

 

11. Inductive reactance
      XL =
wL = 2p f L

 

 

where

f = frequency of the applied a.c. voltage

 

L = inductance.

 

12. Capacitive reactance  

XC =

1

=

1

wc

2pfc

 

 

where

C = Capacitance

 

f = frequency of the applied a.c. voltage

 

Impedance (Z) when C and R are connected in series

13. Impedance (Z) when L and R are connected in series:

 

 

When an inductance L and a resistance R are connected in series, the impedance Z is given by Z =

 

14. Impedance (Z) when C and R are connected in series:

 

 

When a capacitor of capacitance C and a resistance R are connected in series, the impedance Z is given by Z =

 

L-C-R series circuit

15. In a L-C-R series circuit

 

 

tan f  = 

XL- Xc

 where f = the angle by which e.m.f. leads the current.

R

 

Z = where Z = impedance of the circuit resonant frequency f

1

2p

 

where

L = inductance

 

C = capacitance

 

parallel resonant circuit

16. Parallel resonant circuit

 

 

The resonant frequency fr

1

2p

 

where

L = inductance

 

C = capacitance

 

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