Midterm 1_ 270_11 Problem 2 Solution

Midterm 1_ 270_11 Problem 2 Solution - a. Apply Ampere's...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Name ___________________________________ Problem # 2: Consider the currents illustrated in the Figure and assume that the straight wires are infinite long. (20) a. Use the appropriate law (Faraday or Biot-Savart) to determine the magnetic field at the point P (both magnitude and direction) due to the straight wires 1 and 2. (8) b. Use the appropriate law (Faraday or Biot-Savart) to determine the magnetic field at the point P (both magnitude and direction) due to the current flowing in the shape 3 (8) c. What is the combined magnetic field at point P (magnitude and direction) due to the currents flowing in 1,2 and 3 (4) (Express your answer in terms of I,R, θ , π and μ o ) For the problem consider a cylindrical coordinate system with its origin at P and the z-axis out of the page.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a. Apply Ampere's law B d s = o I or 2 B( ) = o I to currents 1 and 2 with 1 =R/2 and 2 =R to find B 1 (at P) =- e z o I R and B 2 (at P) =- e z o I 2 R so B 1,2 (at P) =- e z 3 o I 2 R b. For long arms d s (- e r ) = 0 they do not contribute to the B field at P. For the arc cuurrent d B 3 = o I 4 d s (- e r ) R 2 = o I 4 (Rd ) e (- e r ) R 2 =- e z o I 4 Rd R 2 B 3 (at P) =- e z o I 4 R d =- e z o I R 4 c. B 1,2,3 (at P) =- e z o I 2 R (3 + ( radians ) 2 )...
View Full Document

Ask a homework question - tutors are online