A long solenoid with 2,119 turns/m has a cross-sectional area of 0.35 m² and a current given by the equation i(t) = B + Ct², where t is in seconds, B = 4.93 A, and C = 2.48 A/s². A flat circular coil with 338 turns and cross-sectional area of 0.21 m² lies inside and is coaxial with the solenoid. What is the magnitude of the emf induced in the coil at t = 7.84 s?

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A long solenoid with 2,119 turns/m has a cross-sectional area of 0.35 m² and a current given by the equation \( i(t) = B + Ct^2 \), where \( t \) is in seconds, \( B = 4.93 \, \text{A} \), and \( C = 2.48 \, \text{A/s}^2 \). A flat circular coil with 338 turns and a cross-sectional area of 0.21 m² lies inside and is coaxial with the solenoid. What is the magnitude of the emf induced in the coil at \( t = 7.84 \, \text{s} \)?
Transcribed Image Text:A long solenoid with 2,119 turns/m has a cross-sectional area of 0.35 m² and a current given by the equation \( i(t) = B + Ct^2 \), where \( t \) is in seconds, \( B = 4.93 \, \text{A} \), and \( C = 2.48 \, \text{A/s}^2 \). A flat circular coil with 338 turns and a cross-sectional area of 0.21 m² lies inside and is coaxial with the solenoid. What is the magnitude of the emf induced in the coil at \( t = 7.84 \, \text{s} \)?
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