MHT-CET : Physics Entrance Exam

### MHT - CET : Physics - Electomagnetic Induction Formulae Page 2

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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

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.

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

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 =

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

16. Parallel resonant circuit

 The resonant frequency fr = 1 2p

 where L = inductance C = capacitance

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