5. A long solid right circular cylinder of radius R carries a current I, which is...
5. A long solid right circular cylinder of radius carries a current I, which is uniformly distributed. Find the magnetic field everywhere, both inside and outside the cylinder.
only 5 hos 5. A long solid right circular cylinder of radius R carries a current I, which is uniformly distributed. Find the magnetic field everywhere, both inside and outside the cylinder. 6. A long solenoid of area A = TtR,? and turns per unit length n carries a current i = lycoswt. Find the electric field at a distance r from the axis of the solenoid. Distinguish between the cases r > R: and r < Rs. 7. A...
3) Didn't I just ask this? A long circular cylinder of radius R carries a magnetization M ksp, where k is a constant, s is the distance from the axis, and ф is the azimuthal unit vector. a) Use ф H- dl = hemet to determine the auxiliary field (H field) both inside and outside of the cylinder b) use H = (110)2-M to determine the magnetic field (B-field) both inside and outside of the cylinder
5. An infinitely long cylinder of radius R carries a frozen-in" magietization parallel to z-axis and is given by M = ksi, where k is a constant and s is the distance from the axis. There is no free current anywhere. Find the magnetic field inside and outside the cylinder.
In the figure below, a long circular pipe with outside radius R = 2.76 cm carries a (uniformly distributed) current i = 10.3 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude...
In the figure below, a long circular pipe with outside radius R = 2.73 cm carries a (uniformly distributed) current i = 12.7 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude...
In the figure below, a long circular pipe with outside radius R = 2.83 cm carries a (uniformly distributed) current i = 13.8 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude...
(2) 4.[4pts) An infinitely long cylinder of radius R carries NO free current but magnetization M=ks, where k > 0 is a constant and s is the cylindrical radius from the axis. Find the magnetic field B due to M both inside and outside of the cylinder.
Question 3: A long hollow cylinder with radius R carries a time-dependent surface current density K(t) = Kosin(wt) $ (see figure below). The current K(t) varies slowly enough that we are still in the quasistatic approximation. (15 points) KO a) Find the magnetic field B(1), magnitude and direction inside and outside the cylinder. (4 points) b) Find the induced electric field E(t), magnitude and direction, inside and outside the cylinder (8 points) c) Find the displacement current Jinside and outside...
Problem 4 (20 points): A long, solid conducting cylinder of radius R has a current density within it described by: (r)-C( ) for r< R where C is a constant to be determined. The total current running through the whole cylinder is I. a) Calculate an expression for the constant C, given that the total current is I. (Hint: the current density is not uniform.) b) Why can Ampere's law be used here, and what Amperian loop is appropriate? c)...