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Pd :54 PM 5.0 points UCFColPhysEML1 9.W.005 My Notes Determine the current I flo

ID: 2031513 • Letter: P

Question

Pd :54 PM 5.0 points UCFColPhysEML1 9.W.005 My Notes Determine the current I flowing through a solenoid, if the magnetic flux inside its core is found to be 2.70 x 104 wb. The radius of the solenoid is 12.0 cm and the number of turns per meter is 235 Additional Materials Faraday's Law (Creating Current with Magnets) 6, + ?0 points UCFCoPhysEMLI 9.W006 My Notes A wire of length L is wound into a square coil with 107 turns and used in a generator that operates at 60.0 Hz and 120 V rms value in a 0.037-T magnetic field. What is the length L of the wire used to construct the coil? Tutorial Additional Materials Faraday's Law (Creating Current with Magnets) 7. 1O points UCFColPhysEML1 9.W.007 My Notes A coil of wire with 50 turns lies in the plane of the page and has an initial area of 0.200 m2. The coil is now stretched to have no area in 0.100 s. What are the magnitude and direction of the average value of the induced emf if the uniform magnetic field points into the page and has a strength of 1.30 T?

Explanation / Answer

6)

Vrms = 120 V

Vmax = sqrt(2)*Vrms = 169.71 V

N = 107

f = 60 Hz

B = 0.037 T

Maximum emf generated,

Vmax = NABw

Vmax = 2pi*f*(NAB)

169.71 = 2 x pi x 60 x 107 x A x 0.037

A = 0.1137 m^2

A = a^2

a = sqrt(A)

a = 0.3372 m

L = 4aN

L = 4 x 0.3372 m x 107

L = 144.324 m

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