In the figure, a rectangular loop of wire with length a = 2.9 cm, width b= 1.5 cm, and resistance R = 0.68 m2 is placed near an infinitely long wire carrying current i = 6.2 A. The loop is then moved away from the wire at a constant speed v = 3.4 mm/s. When the center of the loop is at distance r = 2.4 cm, what are (a) the magnitude of the magnetic flux through the loop and (b) the current in amperes induced in the loop? (a) Number i (b) Number i Units Units
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- A positively charged particle of mass 8.84 x 10-8 kg is traveling due east with a speed of 79.2 m/s and enters a 0.346-T uniform magnetic field. The particle moves through one-quarter of a circle in a time of 3.34 x 10-3 s, at which time it leaves the field heading due south. All during the motion the particle moves perpendicular to the magnetic field. (a) What is the magnitude of the magnetic force acting on the particle? (b) Determine the magnitude of its charge. (a) Number i (b) Number i Units Units B (out of screen)In the figure, a rectangular loop carrying current lies in the plane of a uniform magnetic field of magnitude 0.0520 T. The loop consists of a single turn of flexible conducting wire that is wrapped around a flexible mount such that the dimensions of the rectangle can be changed. (The total length of the wire is not changed.) As edge length x is varied from approximately zero to its maximum value of approximately 5.87 cm, the magnitude T of the torque on the loop changes. The maximum value of T is 4.37 x 10-8 N*m. What is the current in the loop? Number apt i Units >A very long straight wire carrying an electric current is perpendicular to the x-y plane. The current has a value of 26.7 A and is directed in the +z (out of the page). At point 'p', the magnetic field B is represented by one of the arrows. y (cm) 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 wire U T x (cm) Indicate the direction of the magnetic field at point 'p'. T: The direction of the magnetic field is .... Previous Tries You are correct. Your receipt no. is 158-4654 Calculate the magnitude of the B-field at 'p'. 1.78x10^-4 Submit Answer Units required. Units required. Tries 1/99 Previous Tries Calculate the x-component of the B-field at 'p'. Submit Answer Tries 0/99
- A proton has a velocity of 1.1X10^2 m/s î +1.8X10^2 m/s ĵ and is located in the z=0 plane at x=3.4m, y=3.6m at some time t=T. Find the magnetic field in the z=0 plane at the following at x=1.9m, y=1.9m.Problem 16: A wire, of length L = 3.8 mm, on a circuit board carries a current of I = 2.36 μA in the j direction. A nearby circuit element generates a magnetic field in the vicinity of the wire of B = Bxi + Byj + Bzk, where Bx = 5.2 G, By = 5.8 G, and Bz = 5.6 G. Part (a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element. Part (b) Calculate the i component of the magnetic force Fx, in newtons, exerted on the wire by the magnetic field due to the circuit element. Part (c) Calculate the j component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the circuit element. Part (d) Calculate the k component of the magnetic force Fz, in newtons, exerted on the wire by the magnetic field due to the circuit element. Part (e) Calculate the magnitude of the magnetic force F, in newtons, exerted on the wire by the magnetic field due to the circuit element. Part (f) If you…The figure below shows a long conducting coaxial cable and gives its radii (R₁ = 4.78cm, R₂-6.5cm, R3-16cm). The inner cable has a uniform current density of J = 5.1 A/m², and the outer cable carries a uniform current I = 2.1A flowing in opposite direction. Assume that the currents in each wire is uniformly distributed over its cross section. Determine the magnitude of the magnetic field in terms of po at a distance r = 12.5cm from the center of the cable. Express your answer using four decimal places. R2 R3 I
- A 1.00 C charge enters a uniform magnetic field. The magnetic field vector has the following components: 1.00 T in the x-direction, 2.00 T in the y-direction, and 3.00 T in the z-direction. The particle enters the magnetic field with a constant velocity whose components are as follows: 4.00 m/s in the x-direction, 5.00 m/s in the y-direction, and 6.00 m/s in the z-direction. - What are the components of the magnetic force in the particle? (Fx, Fy, and Fz) - What is the magnitude of the magnetic force?A proton moving in the plane of the page has a kinetic energy of 6.00 MeV. A magnetic field of magnitude B = 1.70 T is directed into the page. The proton enters the magnetic field with its velocity vector at an angle 8 = 41.0° to the linear boundary of the field as shown in Figure P29.69. www XXX xxx xx xxxx xxx Submit Answer Save Progress XXX XXX Figure P29.69. (a) Find x, the distance from the point of entry to where the proton will leave the field. 0.1365786648 x Your response differs from the correct answer by more than 10%. Double check your calculations. m (b) Determine 8', the angle between the boundary and the proton's velocity vector as it leaves the field. 0 Practice Another VersionA charged particle of mass m = 7.2X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 1.8T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.74 m, 0) and leaves the region at (x,y) = 0, 0.74 m a time t = 691 µs after it entered the region. %3D 1) With what speed v did the particle enter the region containing the magnetic field? 1681.3 m/s Submit 2) What is Fx, the x-component of the force on the particle at a time t1 230.3 µs after it entered the region containing the magnetic field. %3D -0.2382 N Submit + 3) What is Fy, the y-component of the force on the particle at a time t1 = 230.3 µs after it entered the region containing the magnetic field. -0.1375 N Submit 4) What is q, the charge of the particle? Be sure to include the correct sign. µC Submit