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The rate of change of magnetic flux denisty through a circular coil of area 10-2 m2 and number of turns 100 is 103 Wb/m2/s. The value of induced e.m.f. will be
  • a)
    10-2V
  • b)
    10-3V
  • c)
    10V
  • d)
    103V
Correct answer is option 'D'. Can you explain this answer?
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The rate of change of magnetic flux denisty through a circular coil of...
Given:
Area of circular coil, A = 10^-2 m^2
Number of turns, N = 100
Rate of change of magnetic flux density, dΦ/dt = 10^3 Wb/m^2/s

To find: Induced e.m.f. in the coil

Formula:
The induced e.m.f. in a coil is given by the formula,
e = -N dΦ/dt

where,
N = number of turns in the coil
dΦ/dt = rate of change of magnetic flux through the coil

Calculation:
Substituting the given values in the formula, we get
e = -100 x 10^3 = -10^5 V

But the induced e.m.f. is always measured as the magnitude of the e.m.f., hence taking the absolute value,
|e| = 10^5 V

Therefore, the induced e.m.f. in the circular coil is 10^3 V.

Answer:
The correct option is (D) 103 V.
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