Q2) a) an infinit line charge pL-20nc/m along z axis in free space, find the work done on a point carge Q=10nc if it carrying along a circular path of a radius p-2m from -n to -2n at z-0 plane.
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- Q2) a) an infinit line charge PL=20nc/m along z axis in free space, find the work done on a point carge Q=10nc if it carrying along a circular path of a radius p=2m from =n to =2n at z=0 plane. b) a point charge of 2uc at origin in free spase , calculate V at point (3,6,0) if V=3V at (0,2,2)An isolated solid spherical conductor of radius 5.00 cm is surrounded by dry air. It is given a charge and acquires potential V, with the potential at infinity assumed to be zero. (a) Calculate the maximum magnitude V can have. (b) Explain clearly and concisely why there is a maximum.An electron is at rest just above the surfaceof a sphere with a radius of 2.7 mm and a uniformly distributedpositive charge of 1.8 * 10-15 C. Like a rocket blasting off fromthe Earth, the electron is given an initial speed ve radially outwardfrom the sphere. If the electron coasts to infinity, where its kineticenergy drops to zero, what is the escape speed, ve?
- A thin, spherical, conducting shell of radius R is mounted on an isolating support and charged to a potential of –715 V. An electron is then fired directly toward the center of the shell, from point P at distance r from the center of the shell (r >> R). What initial speed v0 is needed for the electron to just reach the shell before reversing direction?Since the potential of a perfect conducting sphere with a radius of 3.5 cm in empty space is 10 V, calculate the value of the potentials at a distance of 13.3 cm from the center of the sphere as Volts in ke.Using integration, calculate the electric potential at any point along the z-axis. Show all relevant physics and integration details. Hint: Choose an appropriate charge element dQ on the cylinder and find the dV due to that on the z-axis. Then integrate this potential from -L/2 to L/2 along z.
- Say the uniform electric field between two parallel infinite sheet in given by E⃗=18N/C î. and we place an electron in that field. If the difference between the plates are d=10m then, a) Find the potential difference b) Find the potential energy differenceShow that electric potential for a shell whose radius is R, has charge q uniformly distributed on its entire surface, is the same as electric potential for a conductor (Solid) has radius R and charge q.Given an electric potential of find its corresponding electric field vector. Sol. Using the concept of potential gradient, we have Since we only have, radial direction (r). Then, the del-operator will be By substitution, we get Evaluating the differential, we, get the following *(q/)
- In the early 1900's Robert Millikan discovered the peculiar property that charge came in little packets, no smaller than e = 1.602 x 10-19 C -- he had measured the charge of the electron. Here's (roughly) how he did it. He removed an electron from an initially neutral droplet of oil with diameter 0.5 ??μm. In a vacuum, he positioned the droplet between two metallic plates separated by 6 mm and fiddled with the potential (voltage) across the plates until the droplet would hover against the force of gravity. Droplets of this size with +e charge would hover, but only for a particular voltage (otherwise they would sink or rise). Given the parameters stated here, and the fact that the density of the oil was 831 kg/m3, what was the voltage that made the droplets hover? (give your answer with 0.1 V precision)An electron is located at the origin of the coordinates, anda second electron is brought to a position 2 Å from theorigin in the 1y direction.(a) Calculate the force on the electron at the origin, givingthe components Fx and Fy.(b) Calculate the potential energy of the two electrons.Identical point charges (+50 µC) are placed at the corners of a square with sides of 2.0-m length. How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square? Answer is 64J please explain how?