8B The interior of a plate of thickness 2a, extending on either side of the yz plane from x=-a to x=+a, includes a uniform current density J = Joz. Wanted: = In the case of electrostatics the expressions F = V(p · E) and F V(p⚫V)E are equivalent? Justify your answer. Additionally explain if something similar applies to the case of magnetic dipoles.

A thin conducting wire is bent into the shape shown in the figure. The circular portion of the wire has radius R. The wire is in the plane of the screen and carries a current I. R (a) What is the direction of the magnetic field at the center of the loop? O to the left O to the right O upward O downward O into the screen O out of the screen (b) Find an expression for the magnitude of the magnetic field at the center of the loop. (Use the following as necessary: R, I, and Ho. Do not substitute numerical values; use variables only.) B =

a conductor moving with a velocity of 5.0 m/s to the right in the presence of a magnetic field. The flux density is 0.5 T into the page, and the wire is 1.0 m in length, oriented as shown. What are the magnitude resulting induced voltage?

A long, cylindrical wire has the cross-section of an annulus, i.e. region between twoconcentric circles, see the shaded area in figure a). The outer radius of the wire is 2R, the innerdiameter is R. Current I flows along the wire (perpendicularly into the page) in uniform distributionbetween radii R and 2R. 1)Find and plot the magnitude of the magnetic field as a function of distance r from thesymmetry axis of the wire.2) Suppose now that the cavity of radius R is not coaxial with the outer surface of the wire, asseen in figure b). Find the magnetic field at point P located in the center of the cavity. The currentdistribution in the wire is assumed to be uniform, the value of current is I.

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An infinitely-long, hollow, conducting cylinder carries a uniform current I that flows parallel to its axis and into the paper. Its inner radius is a and its outer radius is b. Derive expressions for the magnetic field for (a) a < r < b and (b) r > b Note: See image for the figure.

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Q4// A ring of a mean diameter 30 cm and cross sectional area of 15 cm2 is made up of semi – circular sections of cast iron and cast steel. If each joint has an air gap of 0.25 mm. Find amper turns required to produce a flux of 7 x 10 weber in the magnetic circuit. The relative permeability of steel and iron are 852 and 165 respectively. - OA- Amper turns required= 1105 OB- Amper turns required= 1995 OC- Amper turns required= 2250 OD- Amper turns required= 3150 OE- None of above ارسال الاجابة

A conducting wire loop with 4 m² area is spinning inside a magnetic field of 0.001 T while 25 A of electric current is flowing through it. What is the torque will it feel when its area direction (normal to the surface) is at an angle of 600 with respect to the magnetic field lines?

Consider the magnetic field B(r) = axyê + by²ŷ. 1. What relation must connect the constants a and b? 2. What current density J produces this field?