What current density would produce the vector potential, A = k s² o (where k is a constant), in cylindrical coordinates?
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- : Suppose the electric potential at (x, y) is given by f(x, y) = 0.5 Ln(xpow2 + ypow2) estimate the error and percent relative error in f(x, y) given that x=1±0.2 and y=1±0.5Analyze the given problem. Show your complete and detailed solution.The potential of an isolated conducting sphere of radius "R", at distances r1=5 cm and r2=10 cm from its surface are V1=300 V and V2=210 V, respectively. find capacity tance of this conducting sphere. (k=9 109 N m2/C2, p=10-12)
- Parl D Constants A cylindrical capacitor has an inner conductor of radius 2.8 mm and an outer conductor of radius 3.2 mm. The two conductors are separated by vacuum, and the entire capacitor is 2.5 m long. The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the inner conductor. Express your answer with the appropriate units. μA ха Хь ماه a b X.10n ☑ Q1= 336 C Submit Previous Answers Request Answer × Incorrect; Try Again; 3 attempts remaining Check that you have converted between SI units of electric charge correctly. Part C The potential of the inner conductor relative to that of the outer conductor is 320 mV. Find the charge (magnitude and sign) on the outer conductor. Express your answer with the appropriate units. HA ? Q2 Value UnitsOn a square wireframe with side length a in empty space, there is a linear charge density ρl.Calculate a · ρl numerically by finding a solution for the values of a and ρl required for the potential at the center of this square frame to be V = 8 ke [Volts].Needs Complete solution with 100 % accuracy. Otherwise skip if u can't give complete solution. Thank you.
- 2 / 2 150% 4. A potential difference V, is applied, with a battery, to the plates of a parallel-plate capacitor of plate-area A and separation d. Write an expression for each of the following (a) the capacitance C, of the capacitor, (b) the free charge qo, (c) the electric field strength E, in the gap. Now the battery is disconnected and a dieleetric slab of thickness b and dielectric constant k is inserted in the gap. (d) What happens to the free charge? (c) What happens to the field strength in the gap? () What is the field strength in the dielectric slab? (g) Find an expression for the potential difference between the two plates. (h) Find an expression for the capacitance C now. (i) Assume that C becomes double of C, when a slab of dielectric constant 10 is nserted. What is the thickness b? AiThe electrostatic potential of some charge-distribution is given by:V (r) = A *((e^−λr) / r) where, A and λ are constants. Find the electric field E (r) and the charge density ρ(r).On a square wireframe with side length a in empty space, there is a linear charge density ρl. Calculate the value of the potential V = ke · ρl · A [Volt] at the height h = 6 ·a on the strut exiting the center of this square frame. Find the numerical value of the value of A?
- Please explainGiven that the potential field in the region is V(x, y, z) = 2 z2 + 3 y sin(4 x) (measured in volts). Determine the potential difference VAB (measured in volts) between A(9, 7, 8) and B(12, 14, 12), if both A and B are outside the conductor. In addition, C(3, 2, 3) is known to be on the surface of the conductor. Express your answers accurate to four decimal places, whenever applicable. Tip: Make sure your calculators are in radian mode when dealine with trigonometric functions in the rectangular coordinate system.Consider a thin, uniformly charged rod of length L with total charge Q and test points A, a distance a from the center of the rod and B a distance b from the rod. В Find the potential difference between A and B first by integrating the point source potential to find V and V and subtracting, and then by integrating the field. Compare the results in the limit of L>>(a and b). To test the far field limit, compare the appropriate result to the case where L is much less than both a and b. You may need to do this one numerically.