Coils in (a) and (b) are subjected to the same flux variation by moving the 4 po permanent magnet of magnetic field intensity B in and out of the coils. The resulting voltage induced are as shown in the figure. Deduce the flux variation. * (a) (b) Changing Changing B B N-4 V-16 volts V gen N-2 -8 volts gen O a) 4Wb/s; b) 8Wb/s O a) 4Wb/s; b) 4Wb/s O a) 8Wb/s; b) 4Wb/s a) 6Wb/s; b) 4Wb/s
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- DC and AC subject: 1. Consider a wire carrying a current in the presence of a magnetic field, and a given flux density of 0.25 T. If the wire is 1.0 m long and carries a 0.5 A current, what is the magnitude of the force induced in the wire? 2. The wire shown is moving in the presence of a magnetic field. With the information given in the figure, determine the magnitude and direction of the induced voltage in the wire. (see the figure below)The inner conductor of a coaxial cable has a diameter of 0.5 mm, an outer conductor an inner diameter of 6 mm and a length of 50 m. If the inner and outer conductors of the coaxial cable will be joined at one end of the cable, and if the permeability of the insulating material is µ = 4πx10^-7 H/m, what will be the inductance of the cable?Figure is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, which is surrounded by an outer conductor, which is surrounded by another rubber layer. In a particular application, the current in the inner conductor I 2 is 6.00 A out of the page and the current in the outer conductor I 1 is 2.00 A into the page. Assume that l = 1.80 mm. Determine the magnitude and direction (upward or downward of the page) of the magnetic field at point b. (Choose upward of the page as the positive y-direction and express the magnetic field by using the sign of the result, which must be in µT and without decimals. That means if you get a result of a 922 and the direction of the field is upward of the page, just type 922 or if you find the direction of the field as downward of the page, just tpe -922 in the answer box. Maximum of 2% error is accepted in your answer. Take vacuum permeability µ 0 = 4π x 10 -7 T /A 2 and π = 3.14.)
- The astronomical object 4U014 + 61 has the distinction of creating the most powerful magnetic field ever observed.This object is referred to as a “magnetar” (a subclass of pulsars),and its magnetic field is 1.3 * 1015 times greater than the Earth’smagnetic field. (a) Suppose a 2.5-m straight wire carrying a currentof 1.1 A is placed in this magnetic field at an angle of 65° to the field lines. What force does this wire experience? (b) A field thisstrong can significantly change the behavior of an atom. To seethis, consider an electron moving with a speed of 2.2 * 106m>s.Compare the maximum magnetic force exerted on the electronto the electric force a proton exerts on an electron in a hydrogenatom. The radius of the hydrogen atom is 5.29 * 10-11 mA 7.45m wire carries a current of 76.76mA perpendicular to a uniform magnetic field of magnitude 2.17T. What is the magnitude of the force the wire experiences due to the presence of the magnetic field?The free charge density in copper is 1.81x1010 C/m 3 . For a current density of 8x106A/m2, solve the electric field intensity and the drift velocity.Look at the table for more information.
- (c) An electric dipole consists of 0.003 kg spheres charged to ∓3e-09 C at the ends of a 0.16 m long non-conducting rod of mass 0.006 kg The dipole rotates on a frictionless pivot at its center. The dipole is held perpendicular to a uniform electric field with a field strength 1000 V/m, then released. What is the dipole's angular velocity (in rad/s) at the instant it is aligned with the electric field? (HINT: Look up the moment of inertia of the rotating rod about its center and don't forget the rotational kinetic energy term (along with the other terms) when you set up your conservation of energy problem). a)0.0534 b)0.446 c)0.289 d)0.119 e)0.137 f)0.205 (d) Four 1.9e-08 C charges are held in location to form a perfect square with sides of length 0.1 m. Two of the charges from opposing corners are released simultaneously, the other two are held in place. The mass of each charge is 0.003 kg. How fast (in m/s) will the two released charges be moving when they are far, far away from…A certain toaster has a heating element made of Nichrome resistance wire. When the toaster is first connected to a 120 V source of potential difference (and the wire is at a temperature of 20.0°C), the initial current is 1.90 A, but the current begins to decrease as the resistive element warms up. When the toaster reaches its final operating temperature, the current has dropped to 1.5 A. (d) Determine the operating temperature of the heating element.Determine the electric potential at a position z along the axis of a cone. The cone has uniform surface charge density σ, total height h and radius R at its top as shown. The relative proportions of the height and radius of the opening are such that the angle of the cone is 45°. You will not be able to evaluate the resulting integral analytically, so your final answer is the integral expression. (Please type answer no write hy hend)
- A single square loop of wire is placed in the center of a large solenoid as shown. The solenoid has a radius 5.00 cm and the square loop is 3.0 cm on a side. The solenoid is 0.20 cm long and wound with 200 turns of wire. If the current in the solenoid is 3.00 A, what is the flux through the square loop? If the current in the solenoid drops to zero in 0.500 seconds, what is the magnitude of the average induced emf in the square loop?A free standing linear conductor of length (l) carries a current (I) along the z-axis. a) Determine the flux density (B) at a point (P) located at distance (r) in the (x-y) plane. (see figure 1) b) Once B is determined, show magnetic flux density B for an infinitely-long wire as given by (figure 2)A rod of semiconducting material of lenght L=3 m and cross-sectional area A=4.5 mm^2 lies along the x-axis between x=0 and x=L. The material obeys ohm's law, and resistivity varies along the rod according to p=p0 (1-(x^2/L^2)) where p0= 4.10^-4 ohm.m. The end of the rod x=0 is at a potential V0=30V greater than the x=L. A) what is the total resistance, in units of ohm, of the rod? B) what is the current, in units of miliamperes, in the rod? C) what is the electric potential, in units of Volt, in the rod at x=L/2? D) what is the electic-field magnitude E, in units of V/m, in the rod at x=L/2?