Please Answer D, E, F. Thank you. . The following picture shows a LONG conductor carrying current I. Nearby there is aconducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also carries aresistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. Theloop is moving away to the right with a constant velocity, V = 2 m/s. Answer the followingquestions at the instant of time t" when the left edge of the loop is at position "x" as shownbelowUse the coordinate system , x to the right, y into the board, z upwarda) Write an expression for the magnetic field as a function ofthe distance "x" (from the LONG conductor to the loop. )USE “+" for CCW circulation and "-"“ for CW circulation.b) Write the magnetic field in "i-j-k" format at point "x" to theright of the current carrying wire in the "iz" planec) Write the infinitesimal area vector for the loop in "i-j-k"formatd) Write the explicit integral for the magnetic flux through thearea of the loop using the answer for B and dA above.Include limits on the area integral In generale) Integrate the flux integral above to obtain+ (x) = 40°1-a [1n(x+b) – In(x)]) Express the position "x* as a function of "r

The magnetic field at position x from the current-carrying wire can be represented as, Here, μ0 and…

d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and dA above. Include limits on the area integral In general B e) Integrate the flux integral above to obtain *„(x) = ! [In(x + b) – In(x)] f) Express the position "x" as a function of "t"

d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and dA above. Include limits on the area integral In general B e) Integrate the flux integral above to obtain *„(x) = ! [In(x + b) – In(x)] f) Express the position "x" as a function of "t"

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

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