Four thin wires that are parallel, straight, and very long are shown in the figure. All four wires carry an identical current I in the directions indicated. All four wires are a distance d from the origin of the coordinate system. 4 d All wires carry a current I in the d d indicated direction. 3 d All wires are a distance d from the origin. O2 a) Identify the direction of the magnetic field at the origin for each wire. Possible directions have been given below. Each answer choice may be used more than once. A. ↑ B. I С. — | D. + E. out of page F. into page Wire 1: Wire 2: Wire 3: Wire 4: b) What is the x-component of the net magnetic field at the origin? Express your answer in terms of I, d, and fundamental constants.

The figure below shows the end view of four long parallel wires (labeled 1 through 4) each with a current of 8.40 A arranged in a square with sides of length 0.380 m. The current direction is out of the page for wires 1 and 2 and into the page for wires 3 and 4. Write a vector expression for the magnetic field at the point P which is at the center of the square.

Two long, straight, parallel wires separated by a distance d carry currents in opposite directions as shown in the figure. The bottom wire carries a current of 6.0 A. The top wire carries a current of 18 A. Point C is at the midpoint between the wires. 6.0 A C 11a. Determine the magnitude of the magnetic field at point C if d = 0.10 m. A) 2.4 x 10-5 T B) 4.8 x 10-5 T C) 9.6 x 10-5 T D) 1.1 x 104 T E) 1.4 x 104 T 11b. What is the direction of the magnetic field at the point C? A) to the left of the page B) to the right of the page C) toward the bottom of the page D) into the plane of the page E) out the plane of the page

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A wire carries an I1 = 7.45-A current along the x-axis, and another wire carries an I2 = 5.00-A current along the y-axis, as shown in the figure below. What is the magnetic field at point P, located at x = 4.00 m, y = 3.00 m? magnitude      Use the expression for the magnetic field around a current-carrying wire to find the magnitude and direction of the magnetic field contribution from each of the two currents. µT direction              Two current-carrying wires lie along the axes in the x y coordinate plane. The wire along the x-axis carries current I1 in the +x-direction and lies on top of the wire along the y-axis, which carries current I2 in the +y-direction. Point P is in the first quadrant at (4.00, 3.00) m.

Two long, parallel wires carry currents of I, = 10.0 A and I, = 5.0 A in opposite directions (see figure below). Which of the following statements must be true? More than one statement may be correct. I II III O In region I, the magnetic field is into the page and is never zero. O In region II, the field is into the page and can be zero. O In region III, it is possible for the field to be zero. O In region I, the magnetic field is out of the page and is never zero. O There are no points where the field is zero.