distribution. (a) Determine the electric field at any value ofr. (b) Sketch the graph of the electric field magnitude with r. (c) Describe how the electric field varies with the distance r.
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- For analyzing the relationship between electrode radii and electric field in an electrode system (not necessarily concentric spheres), the graph of change in Emax with respect to ri is obtained as shown in the figure. Suppose that the effective electrode separation varies as a = r,(2 – In(r,)). Considering electric field strength of Es=50 kV/cm . a) Find the range of ri to have partial discharge. b) Find the range of rị to have total breakdown. c) Sketch the graph of change in Umax With respect to r; and specify the breakdown behavior in different regions by considering U=100 kV. * 100 90 80 70 60 50 40 30 20 10 rl (cm) r2=7 Optimum Geometric Char. Emax (rl) kV/cm. Calculate the time-averaged electric current of an electron flying in a circle with radius R andvelocity v.A condautoe having charge density 120 μc/m² is surrounded by a medium having dielectric constant 3. Find electric intensity at a point near the conductor.
- For your friend’s Final Year Project his supervisor gave him a task to measure and explain the electrical properties of the atmospheric layer between 200 m to 300 m altitude above SQU. To make the analysis simple, he asks him to consider SQU campus as a circle with approximate diameter of 3.0 km. Your friend released an electric field sensor attached to a balloon up in the sky. After a while when he got the sensor back, he found that the field values are 210 N/C and 75.0 N/C at 200 m and 300 m altitudes respectively. The direction of electric field is found to be downwards. But he has no clue, what to extract out of this data. Can you help?The practical limit to all electric field in air is about 3.00106 N/C. Above this strength, sparking rakes place because air begins to ionize, (a) At this electric field strength, how far would a proton travel before hitting the speed of light (ignore relativistic effects)? (b) Is it practical to leave air in particle accelerators?O A par of parallel plates with a totad area of 25 mm? and spaced somm aport are atached to a 1.5V battery. (a) What is yhe electnic field bctween the plates (6) Wnat electron can achieve movna between the plate is the matimuna vebc ty that an C what is the madimum KE that a t2.0n C Charge can ackieve un eV units. a) If the lates have a vacuum between (no dielectric), what is the capeci touce? le) What charse is placed on the plates ? A It a plates, how will the capecitance and electric field be a ffected? (increase, decrease, ornoeffect dielectric is pleced between the
- A)A 100-cm length of coaxial cable having an inner radius of 1 mm and an outer radius of 5 mm. The space between conductors is assumed to be filled with air. The total charge on the inner conductor is 40 nC. Calculate the charge density on each conductor, and the E and D fields. B) A copper conductor has a diameter of 0.6 in. and it is 1200 ft long. Assume that it carries a total de current of 50 A. (a) Find the total resistance of the conductor. (b) What current density exists in it? (c) What is the de voltage between the conductor ends? (d) How much power is dissipated in the wire? C) Determine the electric potential at the origin due to four 20 uC charges residing in free space at the corners of a 2 m x 2 m square centered about the origin in the x-y plane.Er L E 0 Dielectric slab: Length: L Thickness: h Dielectric constant : epsilon r External uniform electric field: Eo Angle between EO and normal : theta Ih a) Find internal electric field Ein and angle between Ein and normal (Beta) b) determine polarization density of charge in the dielectric mediumTwo concentric metal spherical shells, of radius a and b, respectively, are separated by weakly conducting material of conductivity ơ (see part (a) of figure). (a) (b) a. If they are m aintained at a potenti al difference V, what current flows from one to the other? b. What is the resistan ce between the shells? c. Notice that if b > a the outer radius bis irrelevant. How do you account for that? Exploit this observation to determine the current flowing between two metal spheres, each of radius a, immer sed deep in the sea and held quite far apart (see part (b) of figure), if the potential difference between them is V. (This arr angement can be used to measure the conductivity of sea water.)
- The figure below is a cross section of three non . plates conductor of infinite width, where the charge is evenly distributed. 01 02 (1/2) L . 2L R 03 The charge density on the surface of each plate is 1 = - 3µC/m2, 2 =+ 5µC/m2 , 3 = - 5µC/m2 , and L = 2 cm. In vector notation, what is the field net electricity at points P and R?Q. 13 : A charged conductor has an area of 1 m² and charge of V8.85 µC. The force acting on (CET-2002) unit area of the conductor isQ. 31 : What will be the intensity due to infinity long conductor having linear charge density 4 µC/m at a distance 3.6 cm from its centre.