1. This quasi-"walkthrough" problem is great practice in cross-products, vectors, and integration. Consider the current loop shown in Figure 2, with B _Bx, and the loop lying in the x - z pl...
2. RFID Tag Magnetic field: Consider a square loop of wire that lies in the x-y plane and carries an electric current lo. The center of the loop is located at the origin and each side has length a. The current flows in a counter-clockwise direction as shown in the figure below Note*: This is a common design for an RFID tag's antenna, we will analyze RFID tag detection at a later time. a) Using Biot-Savart's law, find an expression...
The 5th page of lecture 24: 2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
1. Consider a rectangular conducting loop of length l, width w, mass m, and resistance R. Due to gravity g, it is falling out of a uniform magnetic field that points out of the page. At the time shown in the figure, the rate at which heat is released from the loop reaches a constant value P. O © Boo O O BrŐ Figure 1: Loop falling out of a magnetic field (a) Find the magnetic field B in terms...
(1 point In general for a non-homogeneous problem y' + p(x) +(z) = f() assume that y. is a fundamental set of solutions for the homogeneous problemy" p(x) + (2) 0. Then the formula for the particular solution using the method of variation of parameters is where (z)/ and ()/() where W() is the Wronskian given by the determinant W (2) (2) W2) 31(2)/(2) dr. NOTE When evaluating these indefinite integrals we take the W(2) So we have the de...
PARTS A, B, & C PLEASE! (10%) Problem 10: Consider the two charges in the figure, which are moving in opposite directions and located a distance 0.25 m on either side of the origin of the given coordinate system. Charge one is 0.75 C and is moving at a speed 15.5 x 10° m/s, and charge two is 7.5 C and is moving at a speed of 1.5 x 100 m/s. Notice that the positive z-direction in this figure is...
Just letter answer is good, thank you. 1. Given f(x,y) = 10r4y2-1lys, find fry(z, s). Q) 2. The graph of g'(x) is shown in figure. If g(3) 2 then what is the value of g(5)? g'(x) A. 2.0 B. 1.5 C. 2.5 6 12 3 D. 3.0 dy-r + si dx sin (2x) er 3. Find the general solution to the differential equation: B. 2x + 2 cos (r)-4e-4x + C D. none of the above llutant spilled on the...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...