A 300 turn solenoid with a length of 20 cm and a radius of 1.5 cm carries a curr

Question

A 300 turn solenoid with a length of 20 cm and a radius of 1.5 cm carries a current of 2.0 A. A second coil of four turns is wrapped tightly about this solenoid so that it can be considered to have the same radius as the solenoid. Find the following when the current in the solenoid increases to 6.0 A in a period of 0.90 s. (a) the change in the magnetic flux through the coil 0026>x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. T-m2 (b) the magnitude of the average induced emf in the coil 1.77e-03 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V

Explanation / Answer

a)
B = NI?o/L
B = (300)(2 A)(4?e-7 N/A^2) / (0.20 m)
B = 3.78e-3 T

? = BA
? = (3.78e-3 T)(?(0.015 m)^2))
? = 2.67e-6 T-m^2

b)
V = -N??/?t

?? = A?B

Bfinal = (300)(6 A)(4?e-7 N/A^2) / (0.20 m)
Bfinal = 11.304e-3 T-m^2

V = - (4)(?(0.015 m)^2))(11.304e-3 - 3.78e-3) / 0.90 s
V = -2.36e-5 V

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