10) Given is a very long solenoid with 950 wire turns/m. It has a diameter of 2.5 cm. Inside the solenoid, at 0.4 cm away from the solenoid axis, we measure the strength of the induced electric field to be 6.5 x 104 V/m. Determine the rate of change of the current through the solenoid.]
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- A ten-loop coil having an area of 0.23 m² and a very large resistance is in a 0.047-T uniform magnetic field oriented so that the maximum flux goes through the coil. The coil is then rotated so that the flux through it goes to zero in 0.34 s. What is the magnitude of the average emf induced in the coil during the 0.34 s? [Give your result in units of V.]#7So the emf is the same in the loop and the solenoid? I am not sure why?
- A wire loop is spinning on its axis in a uniform magnetic field. Is there an emf induced in the loop? Yes, as long as the angular velocity is nonzero Yes, but only if the angular velocity of the loop is increasing or decreasing Yes, but only if the angular velocity of the loop is constant O NoQuestion 3: Induction (a) The accompanying figure shows a single-turn rectangular coil that has a resistance of 2.0/2. The magnetic field at all points inside the coil varies according to B = Boe-at, where Bo = 0.25T and a = 200Hz. What is the current induced in the coil at (a) t = 0.001s, (b) 0.002 s, (c) 2.0 s? x x x x x X X 5.0 cm X x x X x x X X x B x 2.0 cm X (b) How would the answers to the preceding problem change if the coil consisted of 20 closely spaced turns? Note that the resistance would increase by 2.00 per coil as well.Two solenoids are one inside the other. The current in the inside coil decreases at a uniform rate. The induced EMF in the outer coil is......
- Opening a switch in a highly inductive circuit can be dangerous. To see why, consider a 6 V battery supplying current i to an electromagnet with inductance L. Suppose that opening the switch takes time t. : i = 3.3 A; L = 2.3 H; t = 68 ms; ]4) A long solenoid has n=1000 turns per meter and a current I = 5 sin(wt). Inside the solenoid with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of N. = 300 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 2 Q. (a) Find the induced emf in the coil as a function of time if f=10 Hz. (b) Find the self-inductance of solenoid. (c) Find the current Irms of the circuit. (d) Write the expressions for E and B generated by solenoid in the form E = 5 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for B, k, and w when the wavelength 2 150 m, and the periot T=3 s. (H. max = 4n × 10-7 T. m/A, c = 3 × 108 m/s) Coil, No turns with radius b = 0.2 m Solenoid, n turns per meter I = 5 sin(wt) I = 5 sin(wt) V = 10 sin(wt) 2 Ω Variable resistor