4) A long solenoid has n=1000 turns per meter and a current I = 5 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 No = 300 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 2 Q. (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 = B = Bmax sin(kx – wt) with numerical values for Bmaxs k, and w when the wavelength 2 150 m, and the periot T=3 s. (µo = 4n × 10-7 T. m/A, c = 3 × 108 m/s) %3D 5 sin(kx – wt) and Coil, Ne turns with radius b = 0.2 m Solenoid, n turns per meter I = 5 sin(wt) = 5 sin(wt) V = 10 sin(wt) Variable resistor

University Physics Volume 2
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 68AP: A 2-turn planer loop of flexible wire is placed inside a long solenoid of n turns per meter that...
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4) A long solenoid has n=1000 turns per meter and a current I = 5 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 Nc = 300
turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 2 Q.
(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 =
B = Bmax sin(kx – wt) with numerical values for Bmax, k, and w when the wavelength 2
150 m, and the periot T=3 s. (Ho = 4r × 10-7 T. m/A, c = 3 × 10° m/s)
%3D
5 sin(kx – wt) and
Coil, No turns with radius b = 0.2 m
Solenoid, n turns per meter
I = 5 sin(wt)
I = 5 sin(wt)
V = 10 sin(wt)
2Ω
Variable resistor
Transcribed Image Text:4) A long solenoid has n=1000 turns per meter and a current I = 5 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 Nc = 300 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 2 Q. (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 = B = Bmax sin(kx – wt) with numerical values for Bmax, k, and w when the wavelength 2 150 m, and the periot T=3 s. (Ho = 4r × 10-7 T. m/A, c = 3 × 10° m/s) %3D 5 sin(kx – wt) and Coil, No turns with radius b = 0.2 m Solenoid, n turns per meter I = 5 sin(wt) I = 5 sin(wt) V = 10 sin(wt) 2Ω Variable resistor
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