Answer:
Step-by-step explanation:
Given that,
Number of turns
N = 43 turns
Dimensions of rectangle
Length L = 10cm = 0.1m
Width W = 5cm = 0.05
Then, area of rectangle
A = L×W = 0.1 × 0.05 = 0.005m²
Initial magnetic field
Bi = 0T
Final magnetic field
Bf = 0.5T
The displacement time
∆t = 0.431s
Induce emf ε?
EMF is given as
ε = —NdΦ/dt
Where magnetic flux
Φ = BA
Note A is constant
Then,
ε = —NdΦ/dt = —Nd(BA)/dt
ε = —N•A•dB/dt
ε = —N•A•(∆B/∆t)
ε = —N•A•(Bf - Bi) / (∆t)
ε = —43 × 0.005 × (0.5 - 0) /0.431
ε = —43 × 0.005 × 0.5 /0.431
ε = —0.249 V
The average induced EMF is 0.249V