Problem 8: Two very long thin straight wires running parallel to the z-axis carry currents = 2.0A (in –z-direction) and I2 = 6.4A (in +z-direction). The intersections of the wires with the x - y-plane and point P form three corners of a square, as shown in the figure below. The sidelength of the square is 16cm. Find the magnitude, B := |B|, of the net magnetic field, B, produced by I1 and I2 at P and the angle, 0 := L(B,x), enclosed between B and the positive x-direction, r. The angle O is to be stated as a positive number, if B points in a direction above the x-axis, else as a negative number. У I2 I4 У x-y-Plane View х P.
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- What is the magnetic field at point P shown below if a=3.39mm, b = 6.81mm, and the current 1=5,075A? Define positive as out of the page. Assume 3 significant digits and units of Tesla. b Pl —a—Here we have a wire with current I=3.6 A pointing out of the page. Let's draw an Amperian path around that wire as shown in the picture belwo, with side length d=0.4 m and direction indicated by the arrows. What is the magnitude of the quantity ∮B⃗ ⋅dℓ⃗ for that Amperian path, in T*m?Consider two two long, straight, parallel, current-carrying wires, separated by a distance d = 4.7 cm, as shown in the figure. The left wire is directed out of the page with current I1, and the right wire is directed into the page with current I2. The point P is a distance d from both wires, so the wires and the point form an equilateral triangle. A)If both wires are carrying a current of 3.5 A, what is the magnitude of the magnetic field, in teslas, at point P? B) If the current from the left wire is 3.5 A and the current from the right is 11 A, what is the magnitude of the magnetic field, in teslas, at point P?
- Problem 2: Consider two two long, straight, parallel, current-carrying wires, separated by a distance d= 4.6 cm, as shown in the figure. The left wire is directed out of the page with current I, and the right wire is directed into the page with current I. The point P is a distance d from both wires, so the wires and the point form an equilateral triangle. d Part (a) If both wires are carrying a current of 4.5 A, what is the magnitude of the magnetic field, in teslas, at point P? B = sin() cos() tan() 9 НОМЕ cotan() asin() acos() 4 5 6 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END ODegrees O Radians vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) If the current from the left wire is 4.5 A and the current from the right is 13.5 A, what is the magnitude of the magnetic field, in teslas, at point P?Two coplanar and concentric circular loops of wire carry currents of I, = 5.90 A and I, = 2.30 A in opposite directions as in the figure below. Let r, = 12.0 cm and r, = 8.60 cm. (Assume the positive direction along the axis perpendicular to the faces of the loops is out of the screen (towards you) and assume the positive vertical direction is toward the top of the screen.) (a) What is the magnitude of the net magnetic field (in µT) at the center of the two loops? PT (b) What is the direction of the net magnetic field at the center of the two loops? out of the screen O into the screen O toward the top of the screen O toward the bottom of the screen (c) Let r, remain fixed at 12.0 cm and let r, be a variable. Determine the value ofr, (in cm) such that the net field at the center of the loops is zero. cmQuestion 1: A) Dinesh studying rail guns has been suggested for launching projectiles into space without chemical rockets. A tabletop model rail gun (Figure 1.) consists of two long, parallel, horizontal rails, l= 6.80 cm apart, bridged by a bar of mass m= 8.00 g that is free to slide without friction. The rails and bar have low electric resistance, and the current is limited to a constant I = 42.0 A by a power supply that is far to the left of the figure, so it has no magnetic effect on the bar. Figure 1 shows the bar at rest at the midpoint of the rails at the moment the current is established. He wishes to find the speed with which the bar leaves the rails after being released from the midpoint of the rails (Hint: you need to draw the figure). (Mo = 4π × 10-¹T.) Jg x V₁ = = 0 m d Figure 1. (i) Find the magnitude of the magnetic field at a distance of 1.85 cm from a single long wire carrying a current of 2.40 A. (ii) For purposes of evaluating the magnetic field, model the rails as…
- In the figure below, a current i = 28 A is set up in a long hairpin conductor formed by bending a wire into a semicircle of radius R = 9.0 mm. Point b is midway between the straight sections and so distant from the semicircle that each straight section can be approximated as being an infinite wire. (a) What is the magnitude of B (vector) at a? ___________T(b) What is the direction of B (vector) at a? 1) into the page 2) out of the page (c) What is the magnitude of B (vector) at b? ____________T(d) What is the direction of B (vector) at b? 1) into the page 2) out of the page (please show units. It really helps me out)A wire with current i = 2.47 A is shown in the figure. Two semi-infinite straight sections, both tangent to the same circle with radius 4.51 cm, are connected by a circular arc that has a central angle 0 and runs along the circumference of the circle. The connecting arc and the two straight sections all lie in the same plane. If B = 0 at the center of the circle, what is 0? 2Connecting arc Number i UnitsHow to solve this question
- Consider the seven current-carrying wires and the four closed paths shown in the figure. For each of these paths (C1, C2, C3, and C4) determine the following in terms of ?0. Use standard sign convention for the currents; minus is down into the page and positive is up out of the page. (Assume I1 = 2.00 A, I2 = 2.00 A, I3 = 5.00 A, I4 = 6.00 A, I5 = 5.00 A, I6 = 6.00 A, and I7 = 7.00 A.)The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.20 A out of the page and the current in the outer conductor is I, = 3.06 A into the page. Assuming the distance d = 1.00 mm, answer the following. (a) Determine the magnitude and direction of the magnetic field at point a. magnitude pT direction --Select-- (b) Determine the magnitude and direction of the magnetic field at point b. magnitude pT direction --Select---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