Problem 1: = 0.1 m. In the figure below four wires are on the corners of a square with a side of length L Each of the wires has a current I = 2 A. The wire on the bottom-left edge of the square has a current into the page. The remaining three wires on the square have a current out of the page. What is B at point P, the center of the square? Answer: B = Ho Ho¹ĵ = (8 × 10−6 T)î – (8 × 10− T)ĵ. πL πι I L √2 2 I L √2 L ·L/ 2 الله انکار L 12 I L 22 2 I L
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- 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)Two long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end view of the two wiresis shown in Figure P19.54, wherethe currents are out of the page.(a) What is the direction of themagnetic field at P on the x - axisset up by the two wires? (b) Find anexpression for the magnitude of thefield at P. (c) From your result to part (b), determine the fieldat a point midway between the two wires. Does your resultmeet with your expectation? Explain.Inside of the hollow conductive cylinder given in the figureradius b, outer radius a. Paper on the rollersteady direct current inward from the planeflowing. Current density J = d.r 3,(r is the distance from the cylinder axis as a coefficient d = 2x10 8Find the total current if a / m 5, b = 1cm and a = 2cm).
- , A ray long, thick, cylindrical wire of radius R carries a current density J that varies across its cross-section, The magnitude of the current density7 at a point a distance r from the center of the wine is given by J=J0rR where J0 is a constant. Find the magnetic field (a) at a point outside the wire and (b) at a point inside the wire. Write your answer in terms of the net current I through the wire.An electron in a TV CRT moves with a speed of 5.5 × 107 m/s, in a direction perpendicular to the Earth’s magnetic field, which has a strength of 5.75 × 10-5 T. Part (a) What electric field strength in kV/m must be applied perpendicular to the Earth’s magnetic field to make the electron moves in a straight line? Part (b) If this is done between plates separated by 1.1 cm, what is the voltage applied in V? (Note that TVs are usually surrounded by a ferromagnetic material to shield against external magnetic fields and avoid the need for such a correction.)Solve d) only A current i=−40mA is flowing through the two infinitely long straight wire segments connected by a semi-circular arc, as depicted in the figure. The semi-circular arc has a radius R=18mm . Point A is equidistant from both the infinitely long straight wire segments and also very far away from the semi-circular arc. The coordinate directions are shown in the figure. Note: If the value of current given in the question is positive, then direction of current flow will be the same as depicted in the figure. For the negative value of current, the direction of current flow will be opposite to the direction shown in the figure. a) Find the magnetic field in unit vector notation at point A. (x,yx,z component) Use fig-2 image for answering b) b) Find the magnitude of magnetic field at point B. c) From Fig.2, find the magnitude of magnetic field at point C, which is very far away from point B . d) from fig 2 : Let the distance between point C and B becomes zero, then calculate…
- Draw a sketch of the situation in the figure, showing the direction of electrons carrying the current, and use RHR-1 to verify the direction of the force on the wire.A portion of a long, cylindrical coaxial cable is shown in the figure below. An electrical current I = 3.0 amps flows down the center conductor, and this same current is returned in the outer conductor. Assume the current is distributed uniformly over the cross sections of the two parts of the cable. The values of the radii in the figure are r1 = 1.5 mm, r2 = 4.0 mm, and r3 = 7.0 mm. Using Ampere’s Law, find the magnitude of the magnetic field at the following distances from the center of the inner wire: a. 1.0 mm. b. 3.0 mm. c. 5.5 mm. d. 9.0 mm.A current i=−40mA is flowing through the two infinitely long straight wire segments connected by a semi-circular arc, as depicted in the figure. The semi-circular arc has a radius R=18mm . Point A is equidistant from both the infinitely long straight wire segments and also very far away from the semi-circular arc. The coordinate directions are shown in the figure. Note: If the value of current given in the question is positive, then direction of current flow will be the same as depicted in the figure. For the negative value of current, the direction of current flow will be opposite to the direction shown in the figure. a) Find the magnetic field in unit vector notation at point A. (x,yx,z component) Use fig-2 image for answering b) b) Find the magnitude of magnetic field at point B. c) From Fig.2, find the magnitude of magnetic field at point C, which is very far away from point B .
- Consider two current-carrying wires, separated by a distance d = 2.9 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. If the current from the first wire is 6.5 A and the current from the second is 13.5 A, what is the magnitude of the magnetic field, in tesla, at point P?In the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10). Half-space z <0 is from a material with relative magnetic permeability µr = 5. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 4.00 A. The radius of cross-section A1 is r1 = 0.480 cm. An illustration shows a horizontal cylindrical conductor of nonuniform diameter such that the radius of the left face of the cylinder, r1, is less than the radius of the right face of the cylinder, r2. Similarly the area A1 of the left face of the cylinder is less than the area of the right face of the cylinder, A2. The current is shown to flow rightward and horizontal, as represented by the arrow I. (a) What is the magnitude of the current density across A1? A/m2 The radius r2 at A2 is larger than the radius r1 at A1. (b) Is the current at A2 larger, smaller, or the same? The current is larger.The current is smaller. The current is the same. (c) Is the current density at A2 larger, smaller, or the same? The current density is larger.The current density is smaller. The current density is the same. Assume A2 =…