An infinitely long filament on the x-axis carries a current of 10 mA in the k direction. Find H at P(3, 2,1) m
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An infinitely long filament on the x-axis carries a current of 10 mA in the k direction. Find
H at P(3, 2,1) m
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- Each of the eight conductors in the figure carries 5.82 A of current into or out of the page. Two paths are indicated for the line integral (1 B.ds. What В is the value of the integral for (a) path 1 and (b) path 2? 2 (a) Number i 7.31E-6 Units (b) Number 0.000E-4 Units T-I✰Show complete solution. Answer should be in 4 decimal places.What must be the magnitude of a uniform electric field if it is to have the same energy density as that possessed by a 0.50 Tmagnetic field? (V/m)
- The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.20 A out of the page and the current in the outer conductor is I, = 3.06 A into the page. Assuming the distance d = 1.00 mm, answer the following. (a) Determine the magnitude and direction of the magnetic field at point a. magnitude pT direction --Select-- (b) Determine the magnitude and direction of the magnetic field at point b. magnitude pT direction --Select---A 60.5 m length of insulated copper wire is wound to form a solenoid of radius 2.2 cm. The copper wire has a radius of 0.51 mm. (Assume the resistivity of copper is p = 1.7 x 10-8. m.) (a) What is the resistance of the wire? Ω (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? turns (c) How long is the resulting solenoid? m (d) What is the self-inductance of the solenoid? mH (e) If the solenoid is attached to a battery with an emf of 6.0 V and internal resistance of 350 m2, compute the time constant of the circuit. ms (f) What is the maximum current attained? A (g) How long would it take to reach 99.9% of its maximum current? ms (h) What maximum energy is stored in the inductor? mJThe Van de Graaf generator includes a metal sphere of radius R electrically isolated from its surround- ings except for a wire which can carry a current. When the current is a steady 5.0 μA, it takes 1.3 s for the sphere to reach its operating potential of 4.0x102 kV if it’s initially uncharged. What is R? (a) 1.5 m (b) 2.4 m (c) 0.15 m (d) 0.30 m (e) None of the above
- (5) Current is flowing through a cylindrical copper wire with radius 6.33mm and length 92.1cm. This wire is hooked up to two capacitors in series C1 The capacitors both have cross sectional areas of A = 179cm2. (a) At a given moment in time, the current is I electrons is vd = 9.42µF and C2 = 8.11µF. = 77.97A and the drift velocity of the 45.6µm/s. What is the number density of electrons in this wire? (b) At a given moment in time, the charge on capacitor 2 is 62.6µC. What is the total change in potential across both capacitors combined? | (c) At the moment described in part (b), what is the energy stored in capacitor 2? (d) At the moment described in part (b), what is the energy density of the electric field in capacitor 2? :Lets say the following electric currents flow into a junction of wires: 6.6 A (amperes or amps), -2.2 A, 6.7 A, and last but not necessarily least 9.2 A. What current in A flows out of that very busy junction?Given a current J = 0.5r-¹e-10¹t A/m², determine p、(r, t) by integrating V J (making sure på → 0 as t → ∞o).