A long cylindrical conducting shell of inner radius R1, outer radius R2 and length L is capped at the ends and filled with a charged gas of uniform density po. Apply Gauss's Law to find the E for 0 R2 (assume the conducting cylinder length "L" is infinite )
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- A disk of radius R and mass M has a nonuniform surface charge density sigma = Cr, where C is a constant and r is measured from the center of the disk. find the constant c in terms of the mass M and R?A point charge q = -5.5x 10 C is placed at the center of a spherical conducting shell of inner radius 2.8 cm and outer radius 3.3 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 9.0 N/C. (a) What is the charge density (in C/m2) on the inner surface of the shell? C/m² (b) What is the charge density (in C/m2) on the outer surface of the shell? C/m² (c) What is the net charge (in C) on the conductor?A conducting hollow sphere of internal radius a and external b has a total charge + 11q, determine the electric field between radius a and b in terms of ɛ0, q and the radius of the Gaussian r.
- An infinite, insulating cylinder of radius ri is surrounded by an air gap and a thin, cylindrical conducting shell of radius r2. The insulating cylinder carries constant volume charge density p and the conducting shell carries a constant area charge density o. Use Gauss's law to calculate the quantity f E•dA for the Gaussian shape (a) most appropriate for this problem. (b) distribution). Find the electric field in the region r < ri (inside the volume charge (c) Find the electric field in the region r1 < r < r2 (air gap region) 2.An insulating sphere of radius R = 3 cm has positive charge uniformly distributed throughout its entire volume. The electric field at the surface of the sphere has a magnitude of E = 5x107 V/m (a) [3 points] Calculate the volumetric charge density p of the sphere (in C/m3) and Calculate the magnitude of the electric field at a point located atr= 1cm, inside the insulator.Problem 7: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.62 m. Part (a)_What is the wavelength, in meters, of the standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)? ie Summary 13 = 74.8 Deduction Potemual sin() cos() tan() 8 9 НОМЕ Submissions E 1^ Attempts remaining: 9 er attempt) cotan() asin() acos() 4 5 6 atan() acotan() sinh() 1| 2 * 3 detailed view cosh() tanh() cotanh() END O Degrees O Radians VOI BACKSPACE CLEAR Submit Hint Feedback I give up! Hints deduction per hint. Hints remaining: 3 Feedback. ieduction per feedback. E Part (b) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string. f3 = 0.413 X Attempts Remain 26 Part (c) The guitarist shortens the oscillating length of the properly tuned D-string by 0.11 m by pressing on the string with a finger.…