Problem 23.49 Part A The inductance of a solenoid with 470 turns and a length of

Question

Problem 23.49 Part A The inductance of a solenoid with 470 turns and a length of 22 cm is 6.8 mH What is the cross-sectional area of the solenoid? Express your answer using two significant figures Vx x x xl .ION A 6.89 103 Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining Part B What is the induced emf in the solenoid if its current drops from 3.7 A to 0 in 58 ms? Express your answer using two significant figures = 1.555 Submit My Answers Give Up Incorrect; Try Again; 5 attempts remaining

Explanation / Answer

Magnetic density: B = NI/x,

magnetic flux = NBA = LI ,

(N^2)AI/x = LI,

L = (N^2)A/x, =>

A = xL / (N^2)
= 0.22(6.8x10^-3)/ (4x10^-7)(470)
= 2.53 m^2

(b)
E = Ldi/dt = (6.8x10^-3)[(3.7) / (58x10^-3) ] = 0.434 V

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