suppose a 57.5 cm long, 7.5 cm diameter solenoid has 1000 loops. A) calculate th
ID: 1775349 • Letter: S
Question
suppose a 57.5 cm long, 7.5 cm diameter solenoid has 1000 loops. A) calculate the self-inductance of it in mH. B) how much energy is stored in the inductor when 18 A of current flows through it? Give your answer in J. C) how fast can it be turned off (in s) if the average induced emf cannot exceed 2.85 V? suppose a 57.5 cm long, 7.5 cm diameter solenoid has 1000 loops. A) calculate the self-inductance of it in mH. B) how much energy is stored in the inductor when 18 A of current flows through it? Give your answer in J. C) how fast can it be turned off (in s) if the average induced emf cannot exceed 2.85 V? suppose a 57.5 cm long, 7.5 cm diameter solenoid has 1000 loops. A) calculate the self-inductance of it in mH. B) how much energy is stored in the inductor when 18 A of current flows through it? Give your answer in J. C) how fast can it be turned off (in s) if the average induced emf cannot exceed 2.85 V?Explanation / Answer
(A) L = u0 N^2 A / l
L = (4pi x 10^-7)(1000^2) (pi (7.5 x 10^-2 / 2)^2) / 0.575
L = 9.66 x 10^-3 H Or 9.66 mH
(B) U = L I^2 / 2 = 1.56 J
(C) e = L dI/dt
2.85 = (9.66 x 10^-3) (18) / t
t = 0.061 s
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