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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When the current in a long, straight, air-filled solenoid is changing at the rate of 2000 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and uniform cross- sectional area 25.0 mm2 . Assume that the magnetic field is uniform inside the solenoid and zero outside, so the result L =M0AN2/l applies. What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?

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

For the circuit shown in Figure:a. Determine the reluctance values and show themagnetic circuit, assuming that μ = 3,000μ0.b. Determine the inductance of the device.c. The inductance of the device can be modified bycutting an air gap in the magnetic structure. If a gapof 0.1 mm is cut in the arm of length l3, what is thenew value of inductance?d. As the gap is increased in size (length), what is thelimiting value of inductance? Neglect leakage fluxand fringing effects.