Exercise 28.26 A rectangular loop with dimensions 4.20 cm by 9.50 cm carries cur

Question

Exercise 28.26 A rectangular loop with dimensions 4.20 cm by 9.50 cm carries current I. The current in the loop produces a magnetic field at the center of the loop that has magnitude 4.50x10 ST and direction away from you as you view the plane of the loop. Part A What is the magnitude of the current in the loop? Express your answer with the appropriate units. I 0.0113 A Submit My Answers Give up Incorrect; Try Again; 5 attempts remaining Part B What is the direction of the current in the loop? clockwise counterclockwise My Answers. Give Up Correct

Explanation / Answer

Here ,

a = 0.042 m

b = 0.095 m

let the current is I

the magnetic field at the center of the rectangle is given as

Bnet = 2 * u0 * I *(b/a + a/b) * (1/(pi*sqrt(a^2 + b^2)))

4.5 *10^-5 = 2 * 4 pi *10^-7 * I * (0.042/.095 + 0.095/.042) * (1/(pi * sqrt(0.095^2 + 0.042^2)))

solving for I

I = 2.16 A

the current in the loop is 2.16 A

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