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- Tale 07 Capautance volue Hhe inverse o7 Hhe distonce between Hhe plates 1/d (ri) os a qunction of CLF) 3.333 1.37X1010 8.41X1013 -13 4.65x10 2 200 lil·l 3.69 X10" 2.62 X10 4 90.90 62.5 so 1.73X10-11 38.46 1.63X1011 32.26 1.37X10" 26.32 1.12 X10 9.46X10~12 Draw a graph of cautance uolue, Hhe dependant varable, as (9) OF the Hhe distonce betneen the plates a qunction 아 inverse 07 C = €.ACIld) --.O O What should the gradient on yau groph be eyual to ocording lo euahon o. Provide symböls only © Determne Hhe gradient, og your grapdh and yse f to calulote Hhe electric permithivity00:33 7.00 ,4GM KB/S 49% O wire -wire 2 de K.- l, - K.- l2- A current carrying wire(wire-1) with i1 = 10 Amperesis placed at the origin on the Y-Z plane. Another current carrying wire(wire-2) with i2 = 12 Amperesis placed l = 8 mdistance apart on the Y-axis. The point P2 is l1 = 6 mfrom the wire-1. P1 (0, 6, –6) P2 (0, 6,0) and the point P3 (0, 6, 7) are on the same line. The direction of the current is given in the figure. Step 1: Consider a wire-1 only. a) Calculate magnetic field at P x component Give your answer up to at least three significance digits. y component Give your answer up to at least three significance digits. z component Give your answer up to at least three significance digits. Calculate the magnetic field at P2 x component Give your answer up to at least three significance digits. y component Give your answer up to at least three significance digits. z component Give your answer up to at least three significance digits. Step 2:Consider both wires b)Now what is the…4. The following data are obtained for a Cu-Ni-Fe alloy during the generation of a steady-state ferromagnetic hysteresis loop. a. Plot the data b. What is the remanent induction? c. What is the coercive field? H (amperes/m) B (weber/m?) 0.65 (saturation point) 6 x 104 1 x 104 0.58 0.56 - 1 x 104 - 2 x 104 - 3 x 104 - 4 x 104 - 5 x 104 0.53 0.46 0.30 - 0.44 6 x 104 - 0.65
- Q2 2-1. An airplane travels 800 km/h in a region where the Earth's magnetic field is about 5 x 105 T and is nearly vertical. What is the potential difference induced between the wing tips that are 75 m apart? (1 m/s=3.6 km/h) A. 8.3 V B. 0.83 V C. 0.083 V D. 0.0083 V E. None of the above Select one: C. 0.083 V A. 8.3 V B. 0.83 V D. 0.0083 V E. None of the aboveA long solenoid has a radius of 4 cm and has 800 turns/m. If the current in the solenoid is increasing at the rate of 4.4 A/s, what is the magnitude of the induced electric field at a point 2.2 cm from the axis of the solenoid? a. 48.62 µV/m Ο b. 39.60 μν/m O c. 160.60 µV/m d. 353.58 µV/m Ο e. 66.00 μν /mA long solenoid has a radius of 4 cm and has 800 turns/m. If the current in the solenoid is increasing at the rate of 21.4 A/s, what is the magnitude of the induced electric field at a point 2.2 cm from the axis of the solenoid? a. 192.60 µV/m b. 321.00 µV/m O c. 781.10 µV/m d. 1719.70 μν /m e. 236.47 µV/m
- 11.. A coil of radius 0.5 m consisting of 1000 loops is placed in a 500 T magnetic field such that the flux is maximum. The field then drops to zero in 10 s. What is the induced potential in the coil?Figure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7CASE STUDY In Example 34.6 (page 1111), we imagined equipping 1950DA, an asteroid on a collision course with the Earth, with a solar sail in hopes of ejecting it from the solar system. We found that the enormous size required for the solar sail makes the plan impossible at this time. Of course, there is no need to eject such an object from the solar system: we only need to change the orbit. A much more pressing problem is Apophis, a 300-m asteroid that may be on a collision course with the Earth and is due to come by on April 13, 2029. It is unlikely to hit the Earth on that pass, but it will return again in 2036. If Apophis passes through a 600-m keyhole on its 2029 pass, it is expected to hit the Earth in 2036. causing great damage. There are plans to deflect Apophis when it comes by in 2029. For example, we could hit it with a 10- to 150-kg impactor accelerated by a solar sail. The impactor is launched from the Earth to start orbiting the Sun in the same direction as the Earth and Apophis. The idea is to use a solar sail to accelerate the impactor so that it reverses direction and collides head-on with Apophis at 8090 km/s and thereby keeps Apophis out of the keyhole. Consider the momentum in the impactors orbit (Fig. P34.75) when the solar sail makes an angle of = 60 with the tangent to its orbit. Current solar sails may be about 40 m on a side, but the hope is to construct some that are about 160 m on a side. Estimate the impactors tangential acceleration when it is about 1 AU from the Sun. Keep in mind that the sail is neither a perfect absorber nor a perfect reflector, and a heavier impactor would presumably be equipped with a larger sail. Dont be surprised by what may seem like a very small acceleration. FIGURE P34.75
- Figure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7In Figure P20.65 the rolling axle of length 1.50 m is pushed along horizontal rails at a constant speed v = 3.00 m/s. A resist or R = 0.400 is connected to the rails at points a and b, directly opposite each other. (The wheels make good electrical contact with the rails, so the axle, rails, and R form a closed-loop circuit. The only significant resistance in the circuit is R.) A uniform magnetic field B = 0.800 T is directed vertically downward. (a) Find the induced current I in the resistor. (b) What horizontal force F is required to keep the axle rolling at constant speed? (c) Which end of the resistor, a or b. is at the higher electric potential? (d) Alter the axle rolls past the resistor, does the current in R reverse direction? Explain your answer. Figure P20.65The potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and they have an area of 0.200m2?