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MHT-CET : Physics Entrance Exam

MHT - CET : Physics - Electomagnetic Induction Formulae Page 1

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 1. Magnetic flux through a plane of coil

 

 

 

(f) = . = BA cos q:

where

B

= magnetic induction

 

A

= area of the coil

 

q

= angle between (normal to the plane) and .

 

2. Induced e.m.f.:

 

e = -

df

dt

 

where  e

=

e.m.f. induced in a circuit

 

df

dt

 = rate of change of flux through the circuit

 

negative sign indicates the direction of induced current or e.m.f.

 

 3. e.m.f. induced in a straight moving conductor in a perpendicular magnetic field:  

 

 

    e = Blv

where

e = induced e.m.f .

 

B= uniform magnetic induction

 

l = length of the conductor

 

v = velocity of conductor (at right angles to the uniform magnetic induction )

 

 4. e.m.f. induced in a metal rod rotating in a perpendicular magnetic field:

 

= B p r2 f = BAf

where

B = magnetic induction

 

r = length of the rod

 

f = frequency of rotation of the rod.

 

5. Self induction:

 

 

 

(i) The flux linked with a coil is given by f = LI

where

L = self inductance of coil

 

I = current flowing through the coil

 

(ii) e.m.f. (self induced ) = -

dI

dt

 

where

L = self inductance of coil

 

dI

dt

= rate of change of current in the coil.

 

6. Mutual induction:

 

 

The magnetic flux linked with the secondary (fs) is given by fs = MIp

where

M = mutual inductance

 

Ip = Current flowing in the primary coil.

 

e.m.f. induced in secondary = -

dIp

dt

 

7. Earth coil:

 

 

(i) The angle of dip (d):

tand = Bv/BH

where

Bv = Vertical component of earth's magnetic field

 

BH = horizontal component of earth's magnetic field


(ii) q = k
q

where

q = charge passing through the ballistic galvanometer

 

q = throw of the galvanometer

 

k = constant of the galvanometer

 

(iii) kq

f1 - f2

R

 

where

q = throw of the galvanometer

 

f1 - f2 = change in flux through the earth coil

 

R = Total resistance of the circuit.


(iv) Determination of BH and Bv :

BH

(

KR

)

q1

 

Bv

(

KR

)

q2

2NA

2NA


Where BH = horizontal component of earth's magnetic field

Bv = vertical component of earth's magnetic field
K = constant of the galvanometer
R = resistance of the circuit
N = number of turns of the coil
A = area of cross-section of the coil
q1 and q2 - deflection in the galvanometer

(v) If the coil is quickly rotated from
a1 to a2 , the induced charge is given by

 

 

q = 

BnA (cosa1 - cosa2)

R


where R = total resistance of the circuit containing coil.

a) If the coil is rotated through an angle 90

q = 

BnA

R


b) If the coil is rotator rotated through an angle 180

q = 

2BnA

R

 

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