Problem 2: A wire, bent into a rectangle with sides a = 0.055 m and b = 0.045 m, is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t) = Asin(cot), where A = 0.75 T, o = 5 rad/s. In this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field. В b
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- Part A through D Please, and thank you A -4.60μC charge is moving at a constant speed of 6.80×10^5m/s in the +x−direction relative to a reference frame. At the instant when the point charge is at the origin, what is the magnetic-field vector it produces at the following points. Find Bx, By, Bz for each part. Part A x=0.500m, y=0, z=0 Part B x=0, y=0.500m, z=0 Part C x=0.500m, y=0.500m, z=0 Part D x=0, y=0, z=0.500mConsider a uniform magnetic field of magnitude 0.2 T which is directed along the direction of the positive x axis. A positron, which was accelerated by a potential difference of 1 kV, enters this region of the magnetic field with a velocity v which forms an angle of 85 with the x axis. For this case in which the path that the positron describes is helical, as shown in Figure 1, determine:a) The radius r of the helical path.b) The pitch p of the helical path.Consider a current-carrying wire of length L carrying a current of magnitude I from left to right. What is the magnetic field contribution dB⃗ at point P, with coordinates (x,y), due to the current element dl→ at point A, with coordinates (a,0)? Assume that y is positive.
- A long cylindrical conductor of radius R carries a current I as shown below left. The current density J, however, is not uniform over the cross section of the conductor but is a function of the radius according to J = br, where b is a constant. Find an expression for the magnetic field B (a) at a distance r1 < R and (b) at a distance r2 > R, measured from the axis.In a region a non-uniform magnetic field exists such that Bx = 0, By = 0, and Bz = ax, where a is a constant. At some time t, a wire of length L is carrying a current I is located along the x-axis from origin to x = L. Find the magnetic force on the wire at this instant in time.As shown in the figure below, a particle of mass m having positive charge q is initially traveling with velocity vĵ. At the origin of coordinates it enters a region between y = 0 and y = h containing a uniform magnetic field B directed perpendicular out of the page. (a) What is the critical value of v such that the particle just reaches y = h? (Use B, h, m, and q as necessary.) v = ? (b) Describe the path of the particle under this condition, and predict its final velocity. (Use v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc) (c) Specify the path the particle takes and its final velocity, if v is less than the critical value. (Use v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc) (d) Specify the path the particle takes and its final velocity if v is greater than the critical value. (Use ? and v as necessary.) vf = ?, path description = (straight line, semicircle, or circular arc)
- Consider an infinitely long, thick, cylindrical shell with an inner radius a and outer radius b. A current I is uniformly distributed across the shell (i.e., in the region a < r < b), coming out of the page.(a) Use Ampere’s law to derive equations for the magnitude of the magnetic field in all three regions (i.e., for 0 < r < a, a < r < b, and r > b).(b) Show that the magnetic field is continuous at r = a and r = b.Figure a shows an xy plane that cuts two long parallel wires perpendicularly, each carrying a current I, but in opposite directions.Determine the value of field B at points P1, P2 and P3.A very long, straight current-carrying wire is bent at the middle two different ways, sothat it takes the shapes depicted in figures a) and b). Find the direction and magnitude of themagnetic field in both cases at the center C of the semicircle (of radius R = 10 cm), if the currentflowing in the wire is I = 2 A.
- Part A through Part D Please and thank you. A +6.50-μC point charge is moving at a constant 9.00×10^6m/sin the +y-direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B⃗ it produces at the following points. Find Bx, By, Bz for each part. Part A x=0.500m, y=0, z=0. Part B x=0, y=−0.500m, z=0 Part C x=0, y=0, z=+0.500m Part D x=0, y=−0.500m, z=+0.500mThe arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.The answer is in the second image. I am trying to use the standard biot-savart, which is B = (μ0*I/4π) * ∫dl * sinθ / r^2, and it always gives me 16*pi*l at the denominator, instead of 8pi*l. Solve it using B = (μ0*I/4π) * ∫dl * sinθ / r^2, and note that the image with the answer is correct.How would you calculate the energy stored inside and outside of a uniformly magnetized sphere of radius R and magnetization M (vector)?