The figure below shows a long conducting coaxial cable and gives its radii (R₁ = 2.2cm, R₂=8.2cm, R3-13.6cm).The inner cable has a uniform current density of J = 6.2 A/m², and the outer cable carries a uniform current | =1.5A flowing in opposite direction. Assume that the currents in each wire is uniformly distributed over its crosssection. Determine the magnitude of the magnetic field in terms of μo at a distance r = 22cm from the center ofthe cable. Express your answer using two decimal places.R₂ R3Answer:I

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(a) The figure below shows two parallel conducting rails 15.2 cm apart, connected by a resistor with resistance R₂ = 5.00 Q. Two metal rods with resistances R₁ = 11.40 and R₂ = 15.0 (2 slide along the rails with negligible friction. Rod R₁ slides to the left at constant speed v₁ = 4.00 m/s, while rod R₂ slides at speed v₂ = 2.00 m/s. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of Bin = 0.0100 T. +5 x x x x x x x x x x x x x x x x x x x x x x x x x x upward x x x ---Select--- X * x x x x x x x x Rg x x x x x R₁ R₂ What are the magnitude (in μA) and direction of the current through resistor R₂? μA magnitude direction x x x x (b) What If? What are the magnitude (in μA) and direction of the current through resistor R. if the rods move inward, instead of outward, with the same speeds as in part (a)? μA magnitude direction
Question 1: A) Dinesh studying rail guns has been suggested for launching projectiles into space without chemical rockets. A tabletop model rail gun (Figure 1.) consists of two long, parallel, horizontal rails, l= 6.80 cm apart, bridged by a bar of mass m= 8.00 g that is free to slide without friction. The rails and bar have low electric resistance, and the current is limited to a constant I = 42.0 A by a power supply that is far to the left of the figure, so it has no magnetic effect on the bar. Figure 1 shows the bar at rest at the midpoint of the rails at the moment the current is established. He wishes to find the speed with which the bar leaves the rails after being released from the midpoint of the rails (Hint: you need to draw the figure). (Mo = 4π × 10-¹T.) Jg x V₁ = = 0 m d Figure 1. (i) Find the magnitude of the magnetic field at a distance of 1.85 cm from a single long wire carrying a current of 2.40 A. (ii) For purposes of evaluating the magnetic field, model the rails as…
The above picture depicts a moveable vertical conducting bar sliding on fixed conducting rails. v → = 2.3 m/s and B → is 0.65 T and out of the page. What is the current in the system? Group of answer choices 0.30 A 1.5 A 0.012 A 0 A 7.5 A
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It is desired to construct a solenoid that will have a resistance of 5.30 Ω (at 20°C) and produce a magnetic field of 4.00 ✕ 10−2 T at its center when it carries a current of 3.40 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 ✕ 10−8 Ω · m.) (a) the number of turns of wire needed to build the solenoid (b) the length the solenoid should have, in cm.
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A coaxial cable consists of a solid inner conductor of radius R₁, surrounded by a concentric cylindrical tube of inner radius R₂ and outer radius R3. The inner conductor carries a current density J₁, given by r ≤ R₁, r > R₁, where Io is a constant not necessarily equal to the total current in the inner conductor. The outer conductor has a total current 12 uniformly distributed across its cross-section going in the direction opposite of J₁. (a) (c) (d) (e) 1 R R₂)? R2 r -{(5) TR² R₁ 0, J₁ J₁ = R3 What is the magnitude of the magnetic field inside of the inner conductor (r R3)? if we wanted to ensure that there is no magnetic field outside of the cable, what must the value of Io be?
A current-carrying rectangular wire loop with width a = 0.115 m and length b = 0.220 m is in the xy-plane, supported by a nonconducting, frictionless axle of negligible weight. A current of I = 3.50 A travels counterclockwise in the circuit (see the figure below). Calculate the magnitude and direction of the force exerted on the left, right, top, and bottom segments of wire (in N) by a uniform magnetic field of 0.400 T that points in the positive x-direction. Find the magnitude of the net torque (in N · m) on the loop about the axis. (a) left segment of the wire magnitude N direction (b) right segment of the wire magnitude N direction (c) top segment magnitude N direction (d) bottom segment magnitude N direction (e) Find the magnitude of the net torque on the loop about the axle. N · m
Two long parallel conducting rails are separated by a distance d. At one end they are joined by a resistance R. A conducting bar of length d is made to slide at constant velocity v along the rails. Both the bar and the rails have negligible resistance. (a) What current flows in the circuit? (b) How much power is required to move the bar? (C) How does the power dissipated in the resistance compare with the power required to move the bar?
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