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 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 = 8 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for B, m, and the period T=4 s. (Ho = 4n × 10-7 T. m/A, c = 3 × 108 m/s) k, and w when the wavelength 2 = 50 max> Coil, Ne turns with radius b = 0.2 m Solenoid, n turns per meter 1 = 3.2 sin(wt) I = 3.2 sin(wt) %|

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 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 = 8 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for B, m, and the period T=4 s. (Ho = 4n × 10-7 T. m/A, c = 3 × 108 m/s) k, and w when the wavelength 2 = 50 max> Coil, Ne turns with radius b = 0.2 m Solenoid, n turns per meter 1 = 3.2 sin(wt) I = 3.2 sin(wt) %|

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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An electric toothbrush has a base designed to hold the toothbrush handle when not in use. As shown, the handle has a cylindrical hole that fits loosely over a matching cylinder on the base. When the handle is placed on the base, a changing current in a solenoid inside the base cylinder induces a current in a coil inside the handle. This induced current charges the battery in the handle. We can model the base as a solenoid of length ℓ with NB turns (as shown), carrying a current i, and having a cross-sectional area A. The handle coil contains NH turns and completely surrounds the base coil. Find the mutual inductance of the system.
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