A coaxial cable consists of a solid inner conductor of radius R₁, surrounded by a concentric cylindrical tubeof inner radius R₂ and outer radius R3. The inner conductor carries a current density J₁, given byr ≤ R₁,r > R₁,where Io is a constant not necessarily equal to the total current in the inner conductor. The outer conductorhas a total current 12 uniformly distributed across its cross-section going in the direction opposite of J₁.(a)(c)(d)(e)1RR₂)?R2r-{(5)TR² R₁0,J₁J₁=R3What is the magnitude of the magnetic field inside of the inner conductor (r < R₁)? (Hint:Use the fact that I(r) = § J · dA, and in this case dA 2πr dr.)(b) ::What is the magnitude of the magnetic field in the gap between the conductors (R₁ R3)?if we wanted to ensure that there is no magnetic field outside of the cable, what must thevalue of Io be?

The magnetic field of the given system can be obtained using the Amperes law. This law is given as…

Answered: A coaxial cable consists of a solid…

Similar questions

A wire of circular cross-section carries current density that is not uniform but varies with distance from the center as j(r)=j0(1-(r/R)2), for radius r in the range 0 < r < R. Here, j0 is a constant with units amperes per square meter, and the radius of the wire is R = 0.49 mm. A) Find an expression for the current enclosed in a cylinder with a radius of r < R. B) If the total current in the wire is I, find an expression for the constant j0, in terms of the other variables in the problem. C) If the total current is 1.5 A, what is the constant j0, in amperes per square meter? D) Find an expression for the magnetic field inside the wire, r < R, in terms of the current I. E) Find an expression for the magnetic field outside of the wire, for r > R. F) For what r, in meters, is the current enclosed maximum? G) What is the maximum value of the enclosed current, in amperes? H) For what r, in meters, is the magnetic field maximized? I) What is the maximum value of…
Each of the eight conductors in the figure carries 7.37 A of current into or out of the page. Two paths are indicated for the line integral B · d s. What is the value of the integral for (a) path 1 and (b) path 2? (a) Number Units (b) Number Units
In a given fluid, positive ions, each with two excess protons, move towards right at a steady rate of 4.8 x 1019 ions per minute and negative ions, each with a single excess electron, move towards left at a steady rate of 2.1 x 1020 ions per minute. Determine the current directed to the right.
T A 2.0 x 102-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1.0 x 10° A. If the conductor is copper with a free charge density of 8.5 × 1028 electrons/m³, how many years does it take one electron to travel the full length of the cable?
The figure below represents a section of a circular conductor of nonuniform diameter carrying a current of I = 4.90 A. The radius of cross-section A, is r = 0.250 cm. Az (a) What is the magnitude of the current density across A1? A/m2 The radius r, at A2 is larger than the radius r, at A1. (b) Is the current at A, larger, smaller, or the same? The current is larger. O The current is smaller. The current is the same. (c) Is the current density at A2 larger, smaller, or the same? O The current density is larger. The current density is smaller. O The current density is the same. Assume A2 = 2A1. (d) Specify the radius at A2. mm (e) Specify the current at A2. A (f) Specify the current density at A2. A/m2
A certain cylindrical wire carries current. We draw a circle of radius r around its central axis in Figure (a) to determine the current i within the circle. Figure (b) shows current i as a function of r². The vertical scale is set by is = 5.3 mA, and the horizontal scale is set by r² = 4.7 mm². (a) is the current density uniform? (b) If so, what is its magnitude? (a) (b) Number i Units i (mA) (()) (a) -² (mm²) (b)
What is the current in a wire of radius R = 2.01 mm if the magnitude of the current density is given by (a) Ja = Jor/R and (b) Jb = Jo(1 - r/R) in which ris the radial distance and Jo = 6.22 x 104 A/m2? (c) Which function maximizes the current density near the wire's surface? (a) Number Units (b) Number Units (c)
Subject:- physics