Josephine is carrying out experiments on two coaxial cylindrical solenoids. Solenoid A has a cross-sectional area of 10mm? , and that of solenoid B is 30mm? . The magnetic field produced by the solenoid B inside the coil is 0.02T when a certain current is applied. The magnetic flux going through solenoid A from B is measure to be 2 x 10-5Tm² with the same current being passed through B. a) How many turns are there in solenoid A? b) By how much would the flux through A increase if the current in B was tripled ? c) Josephine now i) doubles the radius of solenoid A, i) doubles the length of A while keeping the number of turns per unit length fixed (you can assume that A remains entirely within B). i) keeps the length of A fixed, but doubles the number of turns per unit length. By how much does the mutual inductance increase in each case i), ii) and i) ?

Josephine is carrying out experiments on two coaxial cylindrical solenoids. Solenoid A has a cross-sectional area of 10mm? , and that of solenoid B is 30mm? . The magnetic field produced by the solenoid B inside the coil is 0.02T when a certain current is applied. The magnetic flux going through solenoid A from B is measure to be 2 x 10-5Tm² with the same current being passed through B. a) How many turns are there in solenoid A? b) By how much would the flux through A increase if the current in B was tripled ? c) Josephine now i) doubles the radius of solenoid A, i) doubles the length of A while keeping the number of turns per unit length fixed (you can assume that A remains entirely within B). i) keeps the length of A fixed, but doubles the number of turns per unit length. By how much does the mutual inductance increase in each case i), ii) and i) ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

Josephine is carrying out experiments on two coaxial cylindrical solenoids. Solenoid A has a cross-sectional area of 10mm2 , and that of solenoid B is
30mm2 . The magnetic field produced by the solenoid B inside the coil is 0.02T when a certain current is applied.
The magnetic flux going through solenoid A from B is measure to be 2 x 10-5Tm² with the same current being passed through B.
a) How many turns are there in solenoid A?
b) By how much would the flux through A increase if the current in B was tripled ?
c) Josephine now
i) doubles the radius of solenoid A,
ii) doubles the length of A while keeping the number of turns per unit length fixed (you can assume that A remains entirely within B),
iii) keeps the length of A fixed, but doubles the number of turns per unit length.
By how much does the mutual inductance increase in each case i), ii) and iii) ?

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