Show your solution A 30-cm long solenoid is made by winding 2 000 loops of wire around an iron rod with a cross-sectional area of 1.5cm2. Considering the relative permeability of the iron to be 600, compute the self-inductance of the solenoid. How much average EMF is induced in the solenoid as its current is

Show your solution A 30-cm long solenoid is made by winding 2 000 loops of wire around an iron rod with a cross-sectional area of 1.5cm2. Considering the relative permeability of the iron to be 600, compute the self-inductance of the solenoid. How much average EMF is induced in the solenoid as its current is

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 43P: A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting...

See similar textbooks

Similar questions

A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?
The normal to tt plane of a single-turn conducting loop is directed at an angle to a spatially uniform magnetic field B. It has a fixed area and orientation relative to the magnetic fleck Show that the emf induced In the loop is given by i = (dB/dt)(Acos),where A is the area of the loop.
A small, rectangular single loop of wire with dimensions 1, and a is placed, as shown in the plan of a much larger, rectangular single loop of wire. The two short sides of the larger loop axe so far from the smaller loop that their magnetic fields over the smaller fields over the smaller loop can be ignored. What is the mutual inductance of the two loops?
Check Your Understanding A long solenoid of cross-section area 5.0 cm2is wound with 25 turns of wire pet centimeter. It is placed in the middle of a closely wrapped coil of 10 turns and radius 25 cm, as shown below. (a) What is the emfInduced In the coil when the current through the solenoid Is decreasing at a rate dl/dt= -0.20A/s? (b) What Is the electric field Induced In the coil?
The current shown in part (a) below is increasing, whereas that shown in part (b) is decreasing. In each case, determine which end of the inductor is at the higher potential.
The current in the long, straight wire shown in the accompanying figure is given by, where I=I0sint I0=15Aand=120rad/s. What is she current induced in the rectangular loop at (a) t = 0 and (b) t=2.1103s The resistance of loop is 2.0 .
Check Your Understanding (a) Calculate the self-inductance of a solenoid that is tightly wound with wire of diameter 0.10 cm, has a cross-sectional area of 0.90 cm2, and is 40 cm long. (b) If the current through the solenoid decreases uniformly from 10 to 0 A in 0.10 s, what is the emf induced between the ends of the solenoid?
A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?
Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and the distance between the centers of the wires is d, Show that if the magnetic flux within the wires themselves can be ignored, the self-inductance of a length 1 of such a pair of wires is L 0 l in d1 a (Hint Calculate the magnetic flux through a rectangle of length 1 between the wires and then use L=N/I
An eight-turn coil is tightly wrapped around the outside of the long solenoid as shown below. The radius of the solenoid is 2.0 cm and it has 10 turns per centimeter. The current through the soleNOID increases according to I=I0(1eat) where I0=4.0A and a=2.0102s1 . What is the emf induced in the coil when (a) t=0, (b) t=1.0102s and (c) t ?
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
Consider a solenoid 50 cm long, with a radius of 2 cm, on which I've wound 2,000 loops of wire. An alternating current (60 Hz) flows through it with an amplitude of 1 Amp. A loop of 1.5 cm radius is inside the solenoid and perpendicular to B.a- What is the amplitude of the EMF induced in the loop?b- What is the amplitude of the electric field induced at a distance of 1 cm from the solenoid axis? At a distance of 5 cm from the solenoid axis? c- What is the inductance of the solenoid?