Please show every step. 5. 7.510 points | Provious Anewers SerCP7 19.P.040. My N

Question

Please show every step.

5. 7.510 points | Provious Anewers SerCP7 19.P.040. My N The two wires in Figure P19.40 carry currents of 3.00 A and 5.00 A in the direction indicated. 90.0cm- Figure P19.40 (a) Find the direction and magnitude of the magnetic field at a point midway between the wires. 000004 (b) Find the magnitude and direction of the magnetic field at point P, located 20.0 cr, above the wire carrying the 5.00 A current. 0.667 T downward Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. T 77A to the lef't of the verticel

Explanation / Answer

(b)

As you know, magnetic field due to the current is given by:

B = uI/2pi*r

B1(due to 3A) = (4pi*10^-7)(3)/(2pi*0.28) [r is determined using Pythagorus theorem]

= 2.14 x 10^-6 T , 45 degrees above the -x axis

B2(due to 5A) = (4pi*10^-7)(5)/(2pi*0.20)

= 5 x 10^-6 T , along the negative x axis

Net field along x: Bx = - (B2 + B1cos45) = - 6.51 x 10^-6 T

Net field along y: By = B1sin45 = 1.51 x 10^-6 T

Thus the net field is:

E = sqrt(Bx^2 + By^2)

= 6.68 x 10-6 T

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