The figure below shows two long, parallel wires in cross-section, and the currents they carry are directed out of the page. The left wire carries a current of I1 = 2.96 A,and the right carries a current of I2 = 3.50 A.The two wires are a distance          d =20.0 cm apart. Point P is the same distance d above the right wire.Assume the +x-direction is to the right, and the +y-direction is upward. What are the magnitude (in T) and direction (in degrees) of the net magnetic field due to the two wires at a point P? Measure the angle counterclockwise from the positive x-axis, with point P at the origin of the coordinate system. (Ignore the magnetic field due to the Earth.)

Suppose in the figure that the four identical currents i = 13 A, into or out of the page as shown, form a square of side 130 cm. What is the force per unit length (magnitude and direction) on the wire in the bottom left hand corner? (N/m) Take the positive y direction as up and the positive x direction as to the right.What is the magnitude of the force per unit length?  What is the x component of the force per unit length?  What is the y component of the force per unit length?

Each of the eight conductors in the figure carries 3.15 A of current into or out of the page. Two paths are indicated for the line integral B. ds. What is the value of the integral for (a) path 1 and (b) path 2?

Two infinitely long parallel wires are at a distance of 5.0 cm apart. If the wires carry a current of 4A, what is the exchanged force per meter between the wires ( in units of µN )? Select one: A. 75.2 В. 83.2 С. 36.8 D. 64.0 E. 51.2

A set of wires arranged on the corners of a square of side length s each carry a different current, as shown in the figure. The wire in the lower left corner carries a constant current I in the k-direction. The wire in the upper left corner carries a current Ì₁ = −I k, the wire in the upper right corner carries a current Ī2 = −81 k, and the lower right wire carries a current 13 31 = 2 Determine the vector expression for the net magnetic force FB per unit length L on the lower left wire using ijk unit vector notation. Express your answer in terms of the permeability μ of free space, s, I, and numerical constants. FB L k. =

In the accompanying figure, the rails, connecting end pieces, and rod all have a resistance per unit length of 40/cm. The rod moves to the left at v = 3 m/s. If B = 0.65 T everywhere in the region, what is the current in the circuit (a) when a = 8 cm? (b) when a = 4.5 cm? Description of Image B Hint a. When a = 8 cm, a counterclockwise mA flows in the circuit. b. When a = = 4.5 cm, 5.48 o current of 9.75 4.0 cm X = 5.48 mA flows in the circuit. X = 9.75

The two wires shown in the figure below are separated by d = 10.4 cm and carry currents of I = 5.40 A in opposite directions. Two vertical, parallel wires are separated by a distance d. To the left of the left wire is an arrow labeled I pointing up. To the right of the right wire is an arrow labeled I pointing down. A point P2 is a distance 2d to the left of the left wire, and a point P1 is a distance d to the right of the right wire. (a) Find the magnitude and direction of the net magnetic field at a point midway between the wires. magnitude      ?T direction              (b) Find the magnitude and direction of the net magnetic field at point P1, 10.4 cm to the right of the wire on the right. magnitude      ?T direction              (c) Find the magnitude and direction of the net magnetic field at point P2, 2d = 20.8 cm to the left of the wire on the left. magnitude      ?T direction

Two infinitely long parallel wires are at a distance of 5.0 cm apart. If the wires carry a current of 7.7A, what is the exchanged force per meter between the wires ( in units of µN )? Select one: O A. 237.2 B. 278.7 С. 308.3 D. 189.7 O E. 136.4

Two VERY LONG wires are placed along parallel lines as shown below in the picture. The wire ON THE LEFT (at X:= 0) has a current going out of the page of value, I1 ='4 A. The current on the RIGHT (at X2= d) has a current going into the page of the page of value, l2 = 6 A. The point "P" is at the location (x=6.00cm, z=10.4cm) Wire 1 Wire 2 a. Find the magnitude of the magnetic field due to wire 2 at the location of wire 1 The Biot-Savart law say the direction of the magnetic field at a field point located in a direction (from source to field point) where a source wire carries a current in the î is Pxi the direction of the magnetic field due to wire2 at the location of wire1. c. Using the formula format find the force per unit length in "I.j,k" 1, 1, x B, d. Find the magnitude of the magnetic field due to wire2 at the location of field point P e. Find the unit directions for f and î and perform the cross product to determine the direction of the magnetic field due to wire2 at the…

a a X, Two long wires are parallel to the zaxis and are located at x = 0, y = ±a. Take a = 6 cm. a) Find B at point P with b = 5 cm, given that the wires carry equal currents in opposite direction I1 = I2 = 6 A. B = ( it j)T b) At what point is B equal to 10 % of its value at x = 0? b = cm.