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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.From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large, positively charged plate whose charge density is =2.0105 C/m2. (See below.) (a) Does the proton reach the plate? (b) If not, how far from the plate does it turn around?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
- Two concentric spherical conducting shells are separated by vacuum. The inner shell has total charge +Q and outer radius ra ,and the outer shell has charge -Q and inner radius rb . Find the capacitanceof this spherical capacitor.Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similarlsize xxbxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 24- V is attached accros the capacitor. Take K = 4, a = 21 cm, b 28 cm, d = 0.2 cm, and x = 11 cm. a air K d The capacitance, C = Units Select an answer v The echarge, Q = Units Select an answer The energy, U = Units Select an answer vConsider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 6-V is attached accros the capacitor. Take k = 4.5, a = 15 cm, b = 40 cm, d = 0.3 cm, and x = 5.5 cm. a air K d The capacitance, C = 26.94 X Units pF The echarge, Q = 0.16 X Units nC The energy, U = | 0.485 X Units nJ
- Consider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant k is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 6-V is attached accros the capacitor. Take k = 4.5, a = 15 cm, b = 40 cm, d = 0.3 cm, and x = 5.5 cm. a air K The capacitance, C = Units pF The echarge, Q = Units nC The energy, U = Units nJConsider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant K is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 24- V is attached accros the capacitor. Take K = 4, a = 21 cm, b = 28 cm, d = 0.2 cm, and x = 11 cm. a air K The capacitance, C = 6.8175E-9 x Units pF The echarge, Q = 1.636E-7 x Units nC The energy, U = 1.964E-6 X Units nJConsider a parallel plate capacitor with the plate surface area axb and distance between the plates d. A nonconducting slab of a similar size xxbxd with dielectric constant K is completely inserted into the capacitor as shown below. Find the capacitance, charge and energy stored in the system if a battery of 30- V is attached accros the capacitor. Take k = 7.5, a = 11 cm, b 36 cm, d = 0.3 cm, and x = 6.5 cm. = a I The capacitance, C = The echarge, Q= The energy, U = air K X Units Select an answer ✓ Units Select an answer ✓ Units Select an answer ✓ d
- (b)A parallel plate air capacitor with plate area A and separation between plates is d. Now a metal sheet of thickness d/2 is inserted between the plates of the capacitor. calculate the ratio of capacitance before the insertion of metal sheet and after.Calculate the dielectric constant of the certain slab is introduced between the plates. condenser is increased from 4 uF to 28 µF if a Ex. 33 The capacity of a parallel plate material of the slab,. The electric potential (voltage) in a particular region of space is given by: V(x,y,z) = { K(x³z? – y5) + C) } Where, in the above function, r= (x² + y2 + z?)½ and Kand C are constants... 'alculate the components of the electric field, Ex , Ey , Ez.