Respuesta :
Answer:
option D
Explanation:
given,
inductance = L = 75 H
initial voltage (V₀) = 12 V
voltage across the inductor to fall to = 3.0 V
time taken to fall of voltage = 2.0 s
Resistance of the circuit = ?
using equation
[tex]V = V_0 e^{\dfrac{-tR}{L}}[/tex]
[tex]3 = 12 e^{\dfrac{-2 \times R}{75}}[/tex]
[tex]0.25 = e^{-0.02667 \times R}[/tex]
taking ln both side
[tex] ln (0.25) = -0.02667 \times R[/tex]
[tex] -1.3863 = -0.02667 \times R[/tex]
R = 51.97 Ω
hence, the correct answer is option D
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