PHY1520 Final Review Problems 1) The current density in a cylindrical wire of radius R = 3.0 mm is uniform across the cross section of the wire and is J = 3.0 × 106A/m2, (a) What is the current th...
The current density in a cylindrical wire of radius R = 2.0 mm is uniform across a across section of the wire and is J = 2.0 times 10^5 A/m^2. What is the current through the outer portion of the wire between the radial distances R/2 and R and shown below Suppose, instead, that the current density through a cross section varies with the radial distances r as J = ar^2 in which a = 3.0 times 10^11 A/m^2 and...
An infinitely long, straight, cylindrical wire of radius R carries a uniform current density J. Using symmetry and Ampere's law, find the magnitude and direction of the magnetic field at a point inside the wire. For the purposes of this problem, use a cylindrical coordinate system with the current in the +z-direction, as shown coming out of the screen in the top illustration. The radial r-coordinate of each point is the distance to the central axis of the wire, and...
a cross section across a long cylindrical conductor of radius a = 1.79 cm carrying uniform current 72.4 A. What is the magnitude of the current's magnetic field at radial distance (a) 0, (b) 1.10 cm, (c) 1.79 cm (wire's surface), (d)3.14 cm?
The figure shows a cross section across a long cylindrical conductor of radius a = 2.32 cm carrying uniform current 83.6 A. What is the magnitude of the current's magnetic field at radial distance (a) 0, (b) 1.39 cm, (c) 2.32 cm (wire's surface), (d)4.62 cm?
The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire's cross section as J(r) = Br, where r is in meters, J is in amperes per square meter, and B = 1.70 ✕ 105 A/m3. This function applies out to the wire's radius of 2.00 mm. How much current is contained within the width of a thin ring concentric with the wire if the...
Consider a wire of a circular cross-section with a radius of R = 3.03 mm. The magnitude of the current density is modeled as ) = cr= 7.75 x 100 A/m . What is the current in A) through the inner section of the wire from the center to r = 0.5R? A
consider a wire or a circular cross-section with a radius of R = 3.46 mm. The magnitude of the current density is modeled as ] = c,2-5.25 × 106 A/m4 r2. what is the current (in A) through the inner section of the wire from the center to r-0.5R?
Please can you do both . #1. A circular loop of wire with cross sectional area 0.20m^2 is exposed to Magnetic Field B that changes at a rate of 4*10^-10 T per second. An emf of ______ V is induced in the loop. #2. An ac circuit consists only of 3 ohm resistor and a capacitor with a reactance of 5 ohm. When connected accross a 10 V rms ac generator, an rms current of ________ passes through the circuit.
The current density inside a long, solid, cylindrical wire of radius a = 4.0 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 390 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 2.7 mm and (c) r=4.0 mm from the center. Chapter 29, Problem 047 The current density inside a lon ,...
A 2.9 mm -diameter copper wire carries a 40 A current (uniform across its cross section). a)Determine the magnetic field at the surface of the wire. b)Determine the magnetic field inside the wire, 0.50 mm below the surface. c)Determine the magnetic field outside the wire 2.5 mm from the surface.