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with in a certain region =10-11 F/m and u=10-5 H/m if Bx= T (a) use to find E (b) find the total magnetic flux passing through the surface x=0 0<y<40m, 0<z<2m at t= 1us (c) find the value of the closed line integral of E around the perimiter of given surface. please solve neatly with proper explanation of each step We were unable to transcribe this image2 * 10-4 cos 10°tsin 10-33 / We were unable to transcribe this image
The magnetic field in the certain region is .128 T, and its direction is that of the +z axis in the figure below. What is the magnetic flux across the surface:(A) abcd, befc, aefd;(B) What is the net flux through all five surfaces that enclose the shaded volume?
In a certain region, the magnetic field is represented by the equation B = (a + bt)ſ, where a = 3.50 mt and b = 4.30 mT/s. A circular coil of area 1.90 x 10-3 m2 and N = 5 turns is oriented in the x-z (horizontal) plane in this field region. Due to the change in magnetic flux, charge passes by a given point in the circuit at a rate of 6.45 mc/s. Determine the resistance of the coil....
Part A The magnetic field B in a certain region is 0.2 T, and its direction is that of the + z-axis in the Figure (Figure 1). What is the magnetic flux across the surface abcd in the figure? VALOR O ? Babcd) = Wb Part B Figure ② 1 of 1 What is the magnetic flux across the surface befc? VALP O ? 30.0 cm 40.0 cm B(befc) = 30.0 cm Part C What is the magnetic flux across...
Please show steps with the graph. The magnetic field intensity is given in a certain region of space as H = [(x + 2y)/z2]ay + (2/z)az A/m. (a) Find ∇×H. (b) Find J. (c) Use J to find the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤ z ≤ 5, in the az direction. (d) Show that the same result is obtained using the other side of Stokes’ theorem.
The magnetid field intensity is given in certain region of space as H = [(x + 2y) / z²]ŷ + (2 / z)ẑ A/m. Find J Use J to find the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤ y ≤ 5, in the ẑ direction.
a) The magnetic field is a certain region varies with time given by B(t) =30e^ -2t in Tesla. A 10cm * 15cm rectangular coil whose plane is perpendicular to the direction of the magnetic is placed in this field, find the magnetic flux as a function of time flux(t). b) A coil consists of 200 turns of wire. Each turn is a square of side d=18cm, and a uniform magnetic field directed perpendicular to the plane of the coil is...
5. In class we saw that the function r(u, v) = (sin u, (2 + cos u) cos v, (2 + cos u) sin v), 0<u<27, 050521 parametrizes a torus T, which is depicted below. (a) Calculate ||ru x rull. (b) Show that T is smooth. (c) Find the equation of the tangent plane to T at (0,). (d) Find the surface area of T (e) Earlier in the semester, we observed that a torus can be built out of...
In a certain region of the atmosphere, the pressure is given as a function of x, y and z Consider a fluid moving in this pressure field. The position of the fluid particle is a function of time and given by The symbols a, b, H, P and U represent constants. -Find the wind components u, v, and w ? -Find the total derivative dp dt according to x, y, z and t. ? ----- - Find Local acceleration ?...
Find the area of the surface over the given region. Use a computer algebra system to verify your results. The torus r(u, v)-(a + b cos v)cos ui + (a + b cos v)sin uj + b sin vk, where a > b, 0 2 π, b > 0, and 0 2π u v Find the area of the surface over the given region. Use a computer algebra system to verify your results. The torus r(u, v)-(a + b cos...