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The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also cai resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the follo questions at the instant of time t" when the left edge of the loop is at position "x" as : below Use the coordinate system , x to the right, y into the board, z upward d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for Band dA above. Include limits on the area integral In general e) Integrate the flux integral above to obtain *„(x) = Ho•I • a, “[In(x+b) – In(x)] f) Express the position "x" as a function of "

The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also cai resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the follo questions at the instant of time t" when the left edge of the loop is at position "x" as : below Use the coordinate system , x to the right, y into the board, z upward d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for Band dA above. Include limits on the area integral In general e) Integrate the flux integral above to obtain *„(x) = Ho•I • a, “[In(x+b) – In(x)] f) Express the position "x" as a function of "

Introductory Circuit Analysis (13th Edition)
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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The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also cai resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the follo questions at the instant of time t" when the left edge of the loop is at position "x" as : below Use the coordinate system , x to the right, y into the board, z upward 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 e) Integrate the flux integral above to obtain “ {in(x + b) – In(x)] f) Express the position x' as a function of r 9) Show the time rate of change in the magnetic flux is dom(x) _ _Ho•I•a•b•V[_ 1 dt 2-* e- (x+ b)] h) Use Faradays Law to determine the induced EMF at x = 3cm i) Use Ohms Law to detemine the current in the loop when x = 3cm ) Use Lenz's Law to determine which direction does the current flow? (Clock Wise or Counter Clock Wise). Explain.
Transcribed Image Text:The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also cai resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the follo questions at the instant of time t" when the left edge of the loop is at position "x" as : below Use the coordinate system , x to the right, y into the board, z upward 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 e) Integrate the flux integral above to obtain “ {in(x + b) – In(x)] f) Express the position x' as a function of r 9) Show the time rate of change in the magnetic flux is dom(x) _ _Ho•I•a•b•V[_ 1 dt 2-* e- (x+ b)] h) Use Faradays Law to determine the induced EMF at x = 3cm i) Use Ohms Law to detemine the current in the loop when x = 3cm ) Use Lenz's Law to determine which direction does the current flow? (Clock Wise or Counter Clock Wise). Explain.
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