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A sphere of radius R is centered at the origin. A constant magnetic field of magnitude...
MAGNETOSTATICS A hollow sphere of radius R centered at the origin is covered with a uniform surface charge σ and is rotating about the z-axis with angular frequency a. A uniform external magnetic field is oriented in the y-direction: B- BoV a. b. c. Find the total force on the sphere Find the total torque on the sphere Generalize the result of (b) to find the torque for a uniform magnetic field in an arbitrary direction, B - Bt +B,y+B,2
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
Suppose F is a radial force field, S1 is a sphere of radius 4 centered at the origin, and the flux integral ??S1 F ·dS = 3.Let S2 be a sphere of radius 12 centered at the origin, and consider the flux integral ??S2 F ·dS.
3) A Gaussian sphere of radius r is centered at the origin. A point charge q is within the sphere, but not at the origin. The electric flux through the sphere equals (A) zero (O)méai (D) mCra
Summary 583 Bridging Problem An imaginary sphere of radius R is centered at the origin, as shown in Pigure 17,37. A charge q is rigidly fixed to the x axis at +R/2 and a second charge g is at-R2. Finally, a proton (of mass and charge te) is released from rest oa the y axis. in terms of e, m, R of the proton at the moment it is released from y +R/4. (b) What are the magnitude and direction...
S22-1 An imaginary, spherical surface has radius 5.0m and is centered on the origin. A +15.0nC point charge is located on the x-axis at position x=+6.0m. There are no other charges in the region. . Calculate the electric field on the sphere's surface at location x- +5.0m · Calculate the electric field on the sphere's surface at location x= -5.0m According to Gauss's Law, the total electric flux through the sphere's surface is zero since there is no charge inside...
A solid insulating sphere of radius 5.00 cm is centered at the origin. It carries a total charge of 2.00 C uniformly distributed through its volume. Concentric with this sphere is an uncharged conducting shell whose inner and outer radii are 8.00 cm and 10.0 cm respectively. a What is the electric field (magnitude and direction) 1.00 cm from the origin b How much charge resides on the inner surface of the conductor c What is the electric field (magnitude and...
A metal sphere centered at the origin has a surface charge density that has a magnitude of 24.9 nC/m2 and a radius less than 2.00 m. At a distance of 2.00 m from the origin, the electric potential is 530 V and the electric field strength is 265 V/m. (Assume the potential is zero very far from the sphere.) What is the radius of the metal sphere?
For a charged solid metal sphere with total charge Q and radius R centered on the origin: Select "True" or "False" for each statement. | If the solid sphere is an insulator (instead of metal) with net charge Q, the charges are wherever they were placed, and cannot move around. \/| The electric field near the metal surface on the outside is perpendicular to the surface. If the solid sphere is an insulator (instead of metal) with net charge Q,...
GIVEN: Ω isthe portion of the surface of the sphere centered at the origin of radius 3 above 1.2 1(xy, z) the plane, z-2: Ω: the field F = (x, x,x). a) FIND the flux of VrF through Ω in the given direction: n has positive 2-component. HINT: (radius a)on Q:(spherical coordinates) b) Parameterize the path,c-a2, (r,g,z)asin g dode with orientation to agree with the given n for Ω ANS: (a) 5 c) With positive orientation,an -e DETERMINE: F.ds ANS:...