Find the homogeneous solution of the equation: 5y[n] – 4y[n – 1]=(1/4)", with initial condition of y[0] = – 1
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- H6. You are planning a trip to a new high altitude space station. Your spacecraft is in an initial 200 km altitude circular earth orbit. Performing a Hohmann transfer compute: (a) the TOTAL delta-v required for a Hohmann transfer to a 1000 km altitude coplanar circular earth orbit. answer choices a. Dv = 445.38 m/sec b.Dv = 421.309 m/sec c.433.778 m/sec d. 220.00 m/secPoint R has cylindrical coordinates (5, pi/6, 4). Plot R and describe its location in space using rectangular or cartesian coordinates.Specify Maxwell’s equations in free space.
- can you please solve this question, thanks. In free space, let Q1 = 10 nC be at P1(0,-4,0) and Q2 = 20 nC be at P1(0,0,4). Find E at the origin.Poisson's and Laplace's Equations Q5) Assume two conducting coes with their vertices on the origin and their axes on the z-axis. The point (2, 0, 4) is on the first cone (50 V) and the point (0, 6, 4) is on the second (10 V) cone, respectively. Find the voltage at (3, 4, 2).Within the cylinder ρ = 2, 0 < z < 1, the potential is given by V = 100+50ρ+150ρsin ϕ V. Find V, E, D, and ρv at P(1,60°,0.5) in free space.
- SHOW YOUR COMPLETE SOLUTION, MAKE SURE YOUR ANSWERS ARE IN 4 DECIMAL PLACES. A uniform line charge ρL = 15 nC/m lies on the line, x = -6, z = 8, in freespace. Find E in the Cartesian components at:(a) originSHOW YOUR COMPLETE SOLUTION, MAKE SURE YOUR ANSWERS ARE IN 4 DECIMAL PLACES. A uniform line charge ρL = 15 nC/m lies on the line, x = -6, z = 8, in freespace. Find E in the Cartesian components at: (b) P1(9, 15, 6)(c) P2(8, 60o, 6)A cylindrical capacitor is made of two concentric conducting cylinders. The inner cylinder has radius R1 = 19 cm and carries a uniform charge per unit length of λ = 30 μC/m. The outer cylinder has radius R2 = 25 cm and carries an equal but opposite charge distribution as the inner cylinder. a. Use Gauss’ Law to write an equation for the electric field at a distance R1 < r < R2 from the center of the cylinders. Write your answer in terms of λ, r, and e0. E= b. Write an equation for the energy density due to the electric field between the cylinders in terms of λ, r, and e0. u = c. Consider a thin cylindrical shell of thickness dr and radius R1 < r < R2 that is concentric with the cylindrical capacitor. Write an equation for the total energy per unit length contained in the shell in terms of λ, r, dr, and ε0. dU/l = d. Calculate the energy stored per unit length in the capacitor in units of joules per meter. U/l = e. Calculate the electric potential difference between…
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