5. lons flow in a circular pipe of radius, a, such that the current density at a radius of r a). Use Ampere's Law to find an expression for the magnitude of the magnetic field inside of the pipe, (at a distance, r
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- 3. The N and S pole faces of a bent cylinder magnet form are separated from one another by a small gap, forming the magnetic analogue of a parallel plate capacitor. Positive magnetic charge is uniformly distributed on the north pole face and negative magnetic charge is uniformly distributed on the south pole face. If the magnetic field B in the gap is 0.2 Tesla, what is the magnetic surface charge density on each of the two pole faces? If the radius of the pole faces is 4.0 cm, what is the force of attraction between them?A bar magnet is inside a closed cubical box.Magnetic field lines pointing outward from the box produce positive flux, and those pointing inward produce negative magneticflux. (a) Is the total magnetic flux through the surface of the boxpositive, negative, or zero? (b) Choose the best explanation fromamong the following:I. There are more outward magnetic field lines because the magnet is inside the box.II. The magnet draws field lines inward toward itself, producingmore negative flux.III. The same number of magnetic field lines leave the box asenter it.7) Consider a straight non-magnetic conductor of circular cross-section and radius a carrying a current with uniform current density J (A/m?) in the vertical direction. Using Ampere's law find the magnetic field inside and outside the conductor.
- 1. A 0.190-A current is charging a capacitor that has circular plates 12.2 cm in radius. The plate separation is 4.00 mm. (a) What is the time rate of increase of electric field between the plates? (b) What is the magnetic field between the plates 5.00 cm from the center?4. Figure in the below shows a cross section of a hollow cylindrical conductor of radii a and b, carrying a uniformly distributed current i. a) Show that the magnetic field magnitude B(r) for the radial distance rin the range. b1. The figure below shows the end-on view of a hollow cylindrical conductor. A current of 80.0 A is directed out of the page along the axis of the cylinder and is uniformly distributed over a cross section. Determine the magnitude of the magnetic field at a distance of (a) 0.500 mm, (b) 2.00 mm, and (c) 4.00 mm from the axis of the conductor. 3.00 mm 1.00 mm conductor3. Current head-on to point P: Consider the case where the current is heading straight toward the point where we want the magnetic field. What is the magnetic field at the point P shown? Hint: consider a small piece ds and think about what the Biot-Savart law tells you. Holds x f 4πr2 Think about the angle between ds and î. dB 7 D PA circular piece of wire with radius 0.3 m has a 14.2 T magnetic field passing through at an angle of 58 degrees away from normal. What is the magnetic flux through this ring?