4) A long solenoid has n=800 turns per meter and a current I = 2 sin(wt). Inside the solenoid with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of N. = 200 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 4 2. (a) Find the induced emf in the coil as a function of time if f=10 Hz. (b) Find the self-inductance of solenoid. (c) Find the current Irms of the circuit. (d) Write the expressions for E and B generated by solenoid in the form E = 4 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for Bmax, k, and w when the wavelength 2 = 100 m, and the periot T=5 s. (Ho = 4n x 10-7 T.m/A,c = 3 × 108 m/s) %3D Coil, Ne turns with radius b = 0,2 m Solenoid, n turns per meter I = 2 sin(wt) I = 2 sin(wt) V = 8 sin(wt) 4Ω Variable resistor

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Chapter31: Faraday’s Law
Section: Chapter Questions
Problem 31.71AP
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4) A long solenoid has n=800 turns per meter and a current I = 2 sin(wt). Inside the solenoid
with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of N = 200
turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 4 2.
|(a) Find the induced emf in the coil as a function of time if f=10 Hz.
(b) Find the self-inductance of solenoid.
(c) Find the current I,rms of the circuit.
|(d) Write the expressions for E and B generated by solenoid in the form E = 4 sin(kx – wt) and
B = Bmax sin(kx – wt) with numerical values for Bmax, k, and w when the wavelength 2 =
100 m, and the periot T=5 s. (Ho = 4n x 10-7 T.m/A, c = 3 × 108 m/s)
%3D
Coil, N. turns with radius b = 0.2 m
Solenoid, n turns per meter
I = 2 sin(wt)
I = 2 sin(wt)
AM
V = 8 sin(wt)
Variable resistor
Transcribed Image Text:4) A long solenoid has n=800 turns per meter and a current I = 2 sin(wt). Inside the solenoid with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of N = 200 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 4 2. |(a) Find the induced emf in the coil as a function of time if f=10 Hz. (b) Find the self-inductance of solenoid. (c) Find the current I,rms of the circuit. |(d) Write the expressions for E and B generated by solenoid in the form E = 4 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for Bmax, k, and w when the wavelength 2 = 100 m, and the periot T=5 s. (Ho = 4n x 10-7 T.m/A, c = 3 × 108 m/s) %3D Coil, N. turns with radius b = 0.2 m Solenoid, n turns per meter I = 2 sin(wt) I = 2 sin(wt) AM V = 8 sin(wt) Variable resistor
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