A sphere of radius R1 carries charge Q distributed uniformly over its surface. How much work does it take to compress the sphere R1 to a smaller radius R2?
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- A parallel-plate capacitor with capacitance 5.0F is charged with a 12.0-V battery, after which the battery is disconnected. Determine the minimum work required to increase the separation between the plates by a factor of 3.(a) What is the potential between two points situated 10 cm and 20 cm from a 3.0C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?Bevw I Conarta In this problem you must first caloulate the potential V at z +L dus to the charged rod. You can then fnd the change in potential energy involved in bringing the point change trom infinity (where V-0) to +L. Positive olectric charge Qis distributed uniformly along a thin rod of length 2a. The rod lies along the z-axis between a -a and a ta Eigure 1). Calculate how much work you must do to bring a positive point chargeg from infinity to the point a+L on the a-axis, where L>a Part A To find V. divide the rod into infinitesimal segments of length de Consider one such segment located at zz. where -asz Sa. What is the potential dV at z+L due to this segment? Express your answer in terms of some or all of the variables Q. a. L, da, . electric constant e, and r, Figure 1 oft > View Available Hint(a) show is side. 78.06707 dV- at wha0 b finliity Submit Previous Anawers round X Incorrect; Try Again; 3 attempts remaining douapadia
- An external electric field is given by where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and f is the unit vector in the radial direction. Find work done by an external force on a point charge of q moving from point a to point b along the path as shown in the figure. The path consists of a quarter circle of radius R and a straight line of length 2R. 3R R a Select one: O 2Aq 3R O Aq O Aq 3R 2Aq 3R Aq 3RA charge of -12 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the ring center at the origin. A -5.6 pC point charge is located on the x axis at x = 3.0 m. For a ring radius of 1.2 m, how much work must an external force do on the point charge to move it to the origin?A solid conducting sphere of radius ra is placed concentrically inside a conducting spherical shell of inner radius rb1 and outer radius rb2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for rb1 < r < rb2 is
- A charge of-9.0 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the ring center at the origin.A -6.0 pC particle is located on the x axis at x = 3.0 m. For a ring radius of 1.5 m, how much work must an external force do on the particle to move it to the origin?A uniform insulating sphere of radius a with charge Q1 = 0.8 nCis concentric with a = 11.0 cm conducting spherical shell ofinner radius b = 20.0 cm, outer radius c = 30.0 cm andcharge Q2 = 2.0 nC as shown in the figure.If the center of the sphere is chosen as the origin of thecoordinate system, find the potential differenceV (x = a/2 , y = 0 , z = 0) − V (x = 0 , y = (b + c)/2 , z = 0)in units of Volts.Take 14πε0= 9.0 × 109 Nm2/C2.A particle of charge 7.5 mC is released from rest at the point x 60 cm on an x axis.The particle begins to move due to the pres- ence of a charge Q that remains fixed at the origin. What is the ki- netic energy of the particle at the instant it has moved 50 cm if (a) Q 20 mC and (b) Q 20 mC?
- Two charged, parallel, flat conducting surfaces are spaced d =1.00 cm apart and produce a potential difference V = 625 V betweenthem. An electron is projected from one surface directly towardthe second.What is the initial speed of the electron if it stopsjust at the second surface?An inverted hemispherical bowl of radius R has a surface charge density of σ. Find the potential atthe center of the hemisphere. Find the potential difference between the center and the highest pointon the bowl.A conducting cylinder of radius 3.25 cm and length 5.6 cm has a total charge of 5.5 x 10-9 C distributed uniformly on its surface area. Find for the potential at its surface
