Consider the following vector field defined in a simply connected region, K = axy еx - Ayx еy + Az x еz, where ax, ay and az are constants. Determine the requirements on ax, ay and az for K to be (a) a magnetic field (b) an electrostatic field.
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- For problem 8, find the value of the magnetic field in microteslas (with positive values pointing out of the page and negative values pointing into the page) using a value of the inner radius R1 = 2.73 cm. (5 sig figs)A solenoid of radius r = 1.25 cm and length l = 28.0 cm has 290 turns and carries 12.0 A. a R b (a) Calculate the flux through the surface of a disk-shaped area of radius R = 5.00 cm that is positioned perpendicular to and centered on the axis of the solenoid as in the figure (a) above. μWb (b) Figure (b) above shows an enlarged end view of the same solenoid. Calculate the flux through the tan area, which is an annulus with an inner radius of a = 0.400 cm and outer radius of b = 0.800 cm. μWbDetermine the phasor forms of the following instantaneous vector fields:(a) H = −10cos(106t + π/3)ax(b) E = 4cos(4y)cos(104t − 2x)az(c) D = 5sin(104t + π/3)ax − 8cos(104t − π/4)ay
- Problem 2: An electric current I0.85 A is flowing in a long wire. Consider a rectangular area with one side parallel to the wire and at a distance 0.043 m away from the wire. Let the dimensions of the rectangle be a 0.024 m and b-0.057 m Part (a) Express the magnitude of the magnetic field generated by the wire B at a distance r in terms of I and r. B(r) Но 4 5 6 BACKSPAC CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 1% deduction per feedback. Part (b) Express the magnetic flux, ф, in the rectangle as an integral of B(r) A Part (c) Integrate the expression in part (b) 圖 Part (d) Calculate the numerical value of φ in T-m2.(a) A small wire loop carrying current is placed next long straight current wire as shown in the diagram. Label direction of force acting on each side of the loop due to long wire as follows with arrowheads. Force on AB is F1, Force on BC F2, Force on CD F3. Force on DA F4. Label the direction of net force on ABCD as F. A (b) ABCD is a square with side 4 cm. Two long wires carry currents 10 A each goes through A and B perpendicular to plane of ABCD out of the page. Label the magnetic field at the center of the square due to wire at A as B1 and wire at B as B2. What is the direction of net magnetic field at the center?What is the magnitude of the magnetic field (in nT) at a distance of 16 m from a long straight wire which carries a current of 20 A? (in units of nT or nanoteslas) Ancwe Tries 0/2
- A vector needs three quantities for its specification. Name the three independent quantities conventionally used to specify the earth’s magnetic field. (Answer it regarding earth's magnetic field.AnilProblem 2 Show that in a current-free volume of space, a static magnetic field can never have a local maximum by considering V(B· B) · da, where S is the surface of a small volume V containing a point P in space.
- A rectangular conducting frame has a steady current of the magnitude i. It is placed in a non-uniform magnetic field zone, as shown in the figure. The edge lengths of the rectangle are a and b. The magnetic field is given as, b B = (B, + 4.0y²) & (Here k is the unit vector along +z – axis, B, is a constant and y is the posi along y – axis) °B a Find the magnitude of the magnetic force on the frame, in terms of the given parameters. (Assume the frame is exactly on the xy-plane) ... ... .. ... ... .00... ...A solid cylindrical conductor with radius 4.50 cm carriesa current of 2.00 A. The current is uniformly distributed over the crosssectionalarea of the conductor. Find the magnitude of the magneticfield at the following distances from the conductor axis: 6.00 cm.Please answer parts (a), (b), and (c).