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 Nc = 100 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 5 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 %3D 8 sin(kx – wt) and Bmax sin(kx – wt) with numerical values for Bmax» k, and w when the wavelength 2 = 50 = 4n x 10-7 T.m/A, c = 3 × 108 m/s) B m, and the period T=4 s. (µo Coil, No turns with radius b = 0.2 m Solenoid, n turns per meter I = 3.2 sin(wt). 1 = 3.2 sin(wt) V = 16 sin(wt) Variable resistor

University Physics Volume 2
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
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 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 Nc = 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 iff=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 = 50
m, and the period T=4 s. (µo = 4n × 10-7 T. m/A, c = 3 × 10® m/s)
8 sin(kx – wt) and
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: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 Nc = 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 iff=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 = 50 m, and the period T=4 s. (µo = 4n × 10-7 T. m/A, c = 3 × 10® m/s) 8 sin(kx – wt) and 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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