A long solenoid has n=900 turns per meter and a current ? = 3.2 sin(??). 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 = 100 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 Ω. (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 ???? of the circuit. (d) Write the expressions for E and B generated by solenoid in the form ? = 8 sin(?? − ??) and ? = ???? sin(?? − ??) with numerical values for Bmax, k, and w when the wavelength λ = 50 m, and the period T=4 s. (?0 = 4? × 10−7 T. m/A, ? = 3 × 108 m/s)

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Chapter13: Electromagnetic Induction
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Problem 30P: A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a...
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A long solenoid has n=900 turns per meter and a current ? = 3.2 sin(??). 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 = 100 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 Ω. (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 ???? of the circuit. (d) Write the expressions for E and B generated by solenoid in the form ? = 8 sin(?? − ??) and ? = ???? sin(?? − ??) with numerical values for Bmax, k, and w when the wavelength λ = 50 m, and the period T=4 s. (?0 = 4? × 10−7 T. m/A, ? = 3 × 108 m/s)
4) A long solenoid has n=900 turns per meter and a current I = 3.2 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. = 100
turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 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 Ims of the circuit.
(d) Write the expressions for E and B generated by solenoid in the form E = 8 sin(kx – wt) and
B = Bmax sin(kx – wt) with numerical values for Bmag, k, and w when the wavelength 2 = 50
m, and the period T=4 s. (µo = 4n × 10-7 T. m/A, c = 3 × 108 m/s)
%3D
Coil, No turns with radius b = 0.2 m
Solenoid, n turns per meter
I = 3.2 sin(wt)
I = 3.2 sin(wt)
V = 16 sin(wt)
Variable resistor
Transcribed Image Text:4) A long solenoid has n=900 turns per meter and a current I = 3.2 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. = 100 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 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 Ims of the circuit. (d) Write the expressions for E and B generated by solenoid in the form E = 8 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for Bmag, k, and w when the wavelength 2 = 50 m, and the period T=4 s. (µo = 4n × 10-7 T. m/A, c = 3 × 108 m/s) %3D Coil, No turns with radius b = 0.2 m Solenoid, n turns per meter I = 3.2 sin(wt) I = 3.2 sin(wt) V = 16 sin(wt) Variable resistor
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