Enemy charcoal consists of 20 turns of wire each of area 0.09 m square and total resistance 15 ohm equal rights in a magnetic field of 0.5 tesla at a constant frequency of 150 upon by hertz calculate the value of maximum as well as average induced emf produced in the coil
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Hello!
The emf value can be calculated using the following equation
E = NBASinwt
here N is the number of turns = 20
B is the magnetic field = 30 X 10-3 T
A is the area of the circular coil = πr2 = 3.14*(0.08)2
w is the angular frequency = 50 rad/s
t is the time
(1) we can calculate the maximum emf value using sinwt = 1, in equation (1). So,
E0 = NBAw = NBπr2w
(2) the average emf is given by the relation,
Eav = NBA(sinwt)av = 0 [as (sinwtav = 0]
(3) the rms value of the emf is written as
Erms = E0/√2
(4) the power dissipated would be
P = I2R = (Erms)2/2
by substituting the respective values, we can get the required answers
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