In the figure, a long, straight copper wire (diameter 2.58 mm and resistance 1.14 2 per 320 m) carries a uniform current of 24.0 A in the positive x direction. For point Pon the wire's surface, calculate the magnitudes of (a) the electric field E ,(b) the magnetic field B , and (c) the Poynting vector Ś , and (d) determine the direction of S .
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- In the figure, a long, straight copper wire (diameter 2.46 mm and resistance 0.807 2 per 250 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire's surface, calculate the magnitudes of (a) the electric field E, (b) the magnetic field B, and (c) the Poynting vector 3, and (d) determine the direction of S. y P (a) Number i (b) Number i (c) Number (d) -Y i Units V/m Units T Units W/m^Problem 5. As a parallel-plate capacitor with circular plates 20 cm in diameter is being charged, the displacement current density in the region between the plates is uniform and has a magnitude of 20 A/m². (µ₁ = 4×10−7 T·m/A, and &o = 8.85x10-¹2 C²/N·m²). (a) Calculate the magnitude B of the magnetic field at a distance r = 50 mm from the axis of symmetry of this region. (b) Calculate dE/dt in this region.A long straight very thin wire on the y-axis carries a 10-A current in the positive y-direction. Acircular loop 0.50 m in radius, also of very thin wire and lying in the yz-plane, carries a 9.0-Acurrent, as shown. Point P is on the positive x-axis, at a distance of 0.50 m from the center of theloop. What is the magnetic field vector at point P due to these two currents? (μ0 = pi × 10-7 T ·m/A)15)A) zeroB) ^ -8.0 × 10-6 T kC) ^ ^ (+4.0 × 10-6 T) i - (4.0 × 10-6 T) kD) ^ ^ (-4.0 × 10-6 T) i - (4.0 × 10-6 T) kE) ^ ^ (-4.0 × 10-6 T) i - (8.0 × 10-6 T) k
- In the figure below, a long circular pipe with outside radius R=2.18 cm carries a (uniformly distributed) current i = 9.57 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 4.85, but it has the opposite direction. Wire O (a) Number (b) Units P. R R R PipeA magnetic field of strength 0.29 T is directed perpendicular to a plane circular loop of wire of radius 29 cm. Find the magnetic flux through the area enclosed by this loop.Suppose that the current density carried by an infinite cylindrical wire is not uniform but in fact varies as Jz(u) = J0 * [1 - (u2 / R2)], where J0 is the value of the current density at the wire's center, R is the radius of the wire, and u is distance from the axis of the wire. Assuming that the magnetic field is circular, compute the wire's magnetic field both inside and outside the wire. (Ampere's law makes even nonuniform current densities manageable.) (Hint: The answer is BФ = 0.25 * μ0 * J0 * R on surface at u = R.)
- A magnetic field of strength 0.25 T is directed perpendicular to a plane circular loop of wire of radius 23 cm. Find the magnetic flux through the area enclosed by this loop. T·m2An infinite length line carries current I in the +az direction on the z-axis, and this is surrounded by an infinite length cylindrical shell (centered about the z-axis) of radius a carrying the return current I in the -az direction as a surface current. Find expressions for the magnetic field intensity everywhere. If the current is 1.0 A and the radius a is 2.0 cm, plot the magnitude of H versus radial distance from the z-axis from 0.1 cm to 4 cm.