# v3. At what distance from a point charge of 4.0 nC does the electric field have...

v3. At what distance from a point charge of 4.0 nC does the electric field have a magnitude of 4.0 N/C? (3.0 m) 4. Two small identical conducting spheres are placed with their centers 0.30 m apart. One is given a charge of 1 0 x10* c other a charge of -3.0 x10 C. (a) Find the electrostatic force exerted on one sphere by the other. (3.0 x 10"N, attraction) the (b) e spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is rea both spheres have the same charge. (1.0x 10 N, repulsion) 5. Two charges are arranged as shown in Figure. Find the direction and magnitude of the electri field at the origin. (.3x10 58° clock wise from +x) 2.0cm 6. Three point charges are arranged at the comers of a square of side 0.500 m, as shown in Figure. What is the potential V at the vacant corner (point A), taking V -0 at a great distance? (3.47 x 10' v uC point charge from infinity to vacant corner A? 6.94 x 10 J) -10.0 HC 4.00 pHC 5.00 pC llel plate capacitor has a capacitance of C 1.0 nF and a charge of magnitude 0.20 nC. The plates are 1.0 mm apart a) What is the potential difference between plates? (0.20 V) b) What is the area of cach plate? (0.11 m') c) What is the electric field between the plates? (200 V/m) What is d) capacitance (2.1 nF) and e) maximum voltage which can be applied to that itor if the space between the parallel plates is filled with insulator with dielectric constant 2.1 and dialectic strength 60x 10° V/m? (60 x 10' v) T ca actors with C -5 0μF and C2-2OpFare connected to a potential difference ofV=10.0V.a) Find the charge and potential difference for each capacitor when they are connected in parallel. (Cor Ci:50 pC and 10V; for C, : 20 HC and 10V) (b) How g much energy is stored into both capacitors? (350 00 uF capacitor is charged by being connected across a 5.00 V battery. It is then disconnected from the battery and connected across an uncharged 1.00 μF capacitor. Determine the resulting charge on each ca for C:) How much energy is stored in each capacitor? (11.IuJ for Ch, 5.55 u.J for C,) In Figure each capacitor has C-5.0 pF. Find the tot pacitor. (667pC for C1, 3.33μ。 al capacitance of the circuit. (2.5pF) 10.

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