Answer:
(a) 16.5528 V
(b) 827.64 W
Step-by-step explanation:
(a)
The formula for maximum emf produced in a coil is given as
E₀ = BANω.................. Equation 1
Where E₀ = maximum emf produced in the coil, B = magnetic Field, A = Area of the rectangular coil, N = number of turns, ω = angular velocity.
Given: B = 1.9 T, N = 44 turns, ω = 110 rad/s, A = 2×9 = 18 cm² = 18/10000 = 0.0018 m²
Substitute into equation 1
E₀ = 1.9(44)(110)(0.0018)
E₀ = 16.5528 V
(b)
Maximum power
P₀ = E₀²/R...................... Equation 2
Where R = Resistance.
Given: R = 50 ohms, E₀ = 16.5528 V
Substitute into equation 2
P₀ = 50(16.5528)
P₀ = 827.64 W