d. Suppose a +4.00 µC charge and a +7.00 µC charge are separated by 3.00 meters. How far from the +4.00 µC charge does the electric field vanish? What the the magnitude of the force on a test charge is it is placed at this point?
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- In Figure 1, a non-conducting rod of length L = 10.0 cm has a charge –q = -3.0 fCuniformly distributed along its length.a) What is the linear charge density of the rod?b) What are the magnitude and direction of the electric field produced at point P, atdistance of a = 6.00 cm from the rod?c) What is the electric field magnitude produced at distance a=50m by the rod?a) A charged sphere of +7.5 x 10-6 C is producing an electric field. How strong is the field at a point 0.3 m from the sphere? At a point 0.1 m from the charge? b) then, If the charge in letter a is tripled, what is the electric field intensity at a point in its electric field 0.30 m away from it? At a point 0.1 m from the charge?A shere of radius R = 0.35 m has a volume charge distribution described by: ρ(r) = ρ0 (1− r/R) for r ≤ R, where ρ0 = 18.5 μC/m3. a. What is the total charge on the sphere? b. What is the strength of the electric field produced by the charge distribution at a distance 0.21 m from the center of the sphere? c. What is the strength of the electric field produced by the charge distribution at a distance 0.4025 m from the center of the sphere? d. Graph the electric field as a function of r between r = 0 and r =0.4025 m.
- (a) Find the electric field at x = 5.00 cm in (a), given that q = 1.00 μC . (b) At what position between 3.00 and 8.00 cm is the total electric field the same as that for –2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidlyapproach zero and why? (e) At what position to the right of 11.0 cm is the total electric field zero, other than at infinity?(Hint: A graphing calculator can yield considerable insight in this problem.)(a) Using the symmetry of the arrangement, determine the direction of the electric field at the center of the square as shown, given that qa = qb = −1.00 μC and qc = qd=+1.00 μC . (b) Calculate the magnitude of the electric field at the location of q , given that the square is 5.00 cm on a side.A conductive sphere with a cavity has an outer radius of 0.30 m, an inner radius of 0.25 m, and a charge distribution on its surface of +5.80 µC/m2. If a charge of -0.56 µC is placed in the middle of the cavity inside the sphere (ke = 8.99 × 109 Nm2/C2nd)a) What would be the new charge density outside the sphere?b) What is the electric field just outside the sphere?c) What is the electric flux through the spherical surface just inside the inner surface of the sphere?
- a through c please A charge of -90.4 uC is placed on spherical conductor of radius 10.0 cm. Part (a) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 1.32 cm from the center of the sphere? Give your answer in N/C. Part (b) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 7.08 cm from the center of the sphere? Give your answer in N/C. Part (c) What is the magnitude, in newtons per coulmb, of the electric field due to this charge at a distance of 17.1 cm from the center of the sphere. Give your answer in N/C.Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface.(a) What is the magnitude and sign of the excess charge, noting the electric field of a conducting sphere is equivalent to a point charge at its center? (b) What acceleration will the field produce on a free electron near Earth’s surface? (c) What mass object with a single extra electron will have its weightsupported by this field?a. Calculate the electric field force on an α Particle at the surface a gold atom presuming that the +ive charge in spread uniformly through the volum of the atom. Ignore the atomic is es. A gold atom has a radius of 0.16nm.treat the α- particle as point particle.b. through what distance would this force, presumed constant have to act to rest? Express your answer in term of the diameter of the gold atom?
- A 20 [cm] radius ball is uniformly charged to 80 [nC].a) What is the ball’s volume charge density [C/m*3]?b) How much charge is enclosed by spheres of radius 5, 10, and 20 [cm]?c) What is the electric field strength at points 5, 10, and 20 [cm] from the center?A long, thin straight wire with a linear charge density λwire = +3.17 nC/m runs down the center of a thin, hollow metal cylindrical shell of radius 1.55 cm. The cylindrical shell has a linear charge density λshell = +6.97 nC/m.(Figure 1) What is the electric field strength at a radius of 1.04 cmcm inside the cylindrical shell? What is the electric field strength at a radius of 2.29 cmcm outside the cylindrical shell?A flat square sheet of thin aluminum foil, 25.0 cm on a side, carries 275 nC of charge,which is uniformly distributed across the sheet. a) How strong, approximately, is theelectric field 0.100 cm above the center of the sheet?b) What is the electric flux through a sphere of radius 15.0 m centered on the sheet?c) How strong, approximately, is the electric field 150 m above the center of the sheet?