Answer:
Explanation:
Given that,
Circular loop
Radius of loop
R = 8.4m
Area of a circle
A1 = πr² = π × 8.4² = 221.67m²
Magnetic field B = 0.4T
Time take t = 0.1sec
The wire is reshaped to square
Length of wire can be calculated using perimeter of a circle
P = 2πr
P = 2π× 8.4 = 52.78m
Which is the length of the square, therefore each side of the square is
L = 52.78/4 = 13.19m
Area of a square
A2 = L² = 13.19² = 174.1
EMF cam be calculated using.
EMF = —dΦ/dt
Where Φ = B•A•Sinθ
Since the field is perpendicular to the plane. then, θ=90° and Sinθ = 1
EMF = —dΦ/dt
EMF = —d(BA)/dt
B is constant
EMF = —B•dA/dt
EMF = —B ∆A/∆t
EMF = — B× (A2—A1)/(t2-t1)
EMF = — 0.4 × (174.01 —221.67) / 0.1
EMF = —0.4 × —47.57 / 0.1
EMF = 190.28 Volts
The magnitude of induced EMF is 190.28 V
