5. Inside the cyllinder, Ampere's Law can be written as
And for the outer region
6. For points inside the solenoid we can write Faraday's Law as
Where the B field inside the solenoid is
Therefore
Replacing back we get
For points outside
7. We use the lens equation and the magnification formula:
Combining this two
Solving for do we get
8. The formula for diffraction grating is
Where d is the slit spacing. The condition for 11 interference fringes within the central maximum is
only 5 hos 5. A long solid right circular cylinder of radius R carries a current...
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.
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.
6. A long solenoid of area A = TR12 and turns per unit length n carries a current i = locoswt. Find the electric field at a distance r from the axis of the solenoid. Distinguish between the cases r > R1 and r< R1.
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.
2. (30 points) A very long, straight, solid copper cylinder of radius R (>2R) is oriented with its axis along e z-direction. The cylinder carries a current whose current density is j(r), where r is the radial distance from the cylinder axis. The current density, although symmetric about the cylinder axis, is not constant but varies with r according to 31o a) (10) Obtain an expression for the current /(in terms of Jo, r and R) flowing in a circular...
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
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
Long charged cylinder A long cylinder with radius R carries a volume charge density S. a) Find the direction of the electric field E produced by the cylinder? b) Find E(r) for r less than R, where r is the perpendicular distance from the cylinder axis. c) Find E(R) for r greater than R d) plot E(r) for 0 leqr less than infinity e) Is the answer to part (c) consistent with the result for an infinite line of charge?
2. A long solenoid carrying a time-dependent current I(t) is wound on a hollow cylinder whose axis of symmetry is the z-axis. The solenoid's radius is a, and it has n turns per metre. (a) * Write down the magnetic intensity H(ที่ t) and magnetic field B(r,t) everywhere. What is the energy density in the magnetic field inside the solenoid? (b Find the electric field E(F,t) everywhere using Faraday's law in integral form. (c) * Find the magnetic vector potential...
A solid cylinder of radius R=5.00mm carries a uniform current density of 1.50*10^6 A/m2. What is the magnitude of the magnetic field at a distance R/2 from the center axis of the cylinder? The answer is 2.36mT but can you show me the work involved? Thanks