i need the answer quickly PI2.15(a) Show that when the current in an isolated circuit element changes, the magnetic induction fluxthrough that circuit element generated by that very current also changes. As a result of this, a"back' emf is generated. Show, using the Biot-Savart law to determine that the rate at whichthe flux changes with current is a constant (called 'self-inductance', represented by the letter L),dlthat the induced emf is e= -L.dt(b) Consider now two circuit coils placed next to each other. Let the number of turns in the firstcoil be n and that in the second coil be n, and let the currents through them be, respectively,I, and l. We shall denote by o, the flux through one turn of the coil i due to the current lj, withi= 1, 2. A changing current in coil I induces an emf in the second: E =- M, where Ma isdl,dtcalled the 'mutual inductance'. Prove that M21 = Mi2. which can be denoted by M.(c) Prove that M= k/L4, where 0sks I and that this is a constant that depends only on thegeometrical elements of the two circuits.(d) A magnetic field is given by B(z, t)= B.Determine the emf it induces in a loop

Solution 5(a): To prove ε = -LdIdt

P12.15(a) Show that when the current in an isolated circuit element changes, the magnetic induction flux through that circuit element generated by that very current also changes. As a result of this, a "back' emf is generated. Show, using the Biot-Savart law to determine that the rate at which the flux changes with current is a constant (called 'self-inductance', represented by the letter L), dl that the induced emf is e=-L. dt

P12.15(a) Show that when the current in an isolated circuit element changes, the magnetic induction flux through that circuit element generated by that very current also changes. As a result of this, a "back' emf is generated. Show, using the Biot-Savart law to determine that the rate at which the flux changes with current is a constant (called 'self-inductance', represented by the letter L), dl that the induced emf is e=-L. dt

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 93AP: On its highest power setting, a microwave oven increases the temperature of 0.400 kg of spaghetti by...

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