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- a. Use the Cartesian representation L₂ = 1/(x2-17 - 1²/²7) y i ду дх to show that (x + iy)m is an eigenfunction of Îz.(a) Convert the decimal number Z into binary (8 bits) & hexadecimal numbers. Z=129 Convert the binary & hexadecimal numbers from part (a) into decimal number.b) A conductor lies in a magnetic field. The current flowing through the conductor is I = (5,9,4). The magnetic flux density is B = (–2, 4, 6). Calculate the electromagnetic force acting on the conductor by F = I x B.
- If B is the uniform magnetic field and the potential A=1/2 (B xr), calculate div A.Using the Dirac-delta function, find the magnetic field at the point (0 0 Z) of a circular current loop of radius a in the xy plane and carrying current I.There is a long cylinder with radius of R, and magnetization of M = Mopî for pPlease answer the ff and show the step by step solution including its units:Two concentric cylinders of radius ra and rb, (ra < rb), are uniformly loaded with q and -2q loads, respectively. Compute the field for (a) r < ra, (b) ra < r < rb and (c) r> rb.Consider that a particular physical phenomenon can be modeled, in steric coordinates, by the scalar potential 0, q1 = r, q2 = 0, 93=0, find V, r(r, 0, 0) = r cos tan 0. If ê₁ = f, ê₂ = 4, 3 = knowing that, in generalized coordinates, V4(91, 92, 93) = 3 i=1 1 მს hi dqiConsider a rectangular pipe with dimensions (Ax, Ay, Az), with insulating sidewalls (located at +Ax/2) and conducting top/bottom walls (located at ±Ay/2). Ionized, conducting plasma flows through the pipe with velocity v= v, î, and a uniform magnetic field is imposed: B = B, î. %D (a) What is the potential between the top and bottom walls of the pipe? (b) If the top and bottom walls are connected by a load resistance R, and the plasma has conductivity o, how much current is driven through the load?Problems 5 and 6 Diffie Hellman key exchange. Alice and Bob decide to share a secret key using Diffie Hellman key ex- change. They agree on the prime 12347 and the base of 413. Alice chooses their secret key to be 4312 and Bob chooses their secret key to be 1253. What is their shared secret? [This is a number modulo 12347.]If the magnetic field B is uniform in space, show that this is consistent with writing A = 1/2 (B×r) and show that div A=0. Are there other choices of A that would produce the same B?SEE MORE QUESTIONS
