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 E = where A is a positive constant, r is the radial coordinate in the two dimensional polar coordinates, and i 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 cirele of radius R and a straight line of length 2R. 3R R a Select one: O Ag 3R Aq 3R 24g 3R 2Aq 3R O AgA 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 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 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 isA 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?Two points A and B are 2 ст арart and a Uniform electric field E acts along the straight line AB directed from A to B with E =200 N /C. A particle of charge + 10-6 C is taken from A to B along AB. Calculate (a) the force on the charge (b) the potential difference VA – Vg and (c) the work done on the charge by E.Positive electric charge Q is distributed uniformly along a thin rod of length 2a. The rod lies along the x-axis between x = -a and x = +a. Calculate how much work you must do to bring a positive point charge q from infinity to the point x = +L on the x-axis, where L> a.