Two stationary point changes 10 nC and -20 nC are located 10 cm apart. An electr

Question

Two stationary point changes 10 nC and -20 nC are located 10 cm apart. An electron is released from rest between them at a distance of 3 cm from the negative charge. What is the speed of the electron when it reaches a point 3 cm from the positive charge. The electric potential is given by V = Cxy^2, where C=10^4 V/m^3. Find (a) E(x,y,z). V at (1m, 2m, 3m). E at (1m, 2m,3m). The electrical potential is given by V = axy + by2 + cy, where a = 3 V/m2, b = -2 V/m2, and c = 5 V/m What is the electric field at an arbitrary point (x,y,z)? At what point is the electric field equal to zero? At what point is the electric potential zero? Ernest Rutherford discovered the nuclear atom by bombarding gold nuclei with alpha particles (nucleus of Helium atom). He was able to show that alpha particles of energy 7.7 MeV could be stopped by the electrical repulsion of an aluminum nucleus, What is the minimum distance of approach of the center of the alpha particle to the center of the aluminum nucleus (i.e. the approximate radius of the aluminum nucleus)? What was the original velocity of the alpha particle? A potential difference of 4000 V is applied to the plates of a parallel plate capacitor, If the air between the plates ionizes when the electric field exceeds 3 MV, what is the minimum separation between the plates? What is the surface charge density on the plates at that time?

Explanation / Answer

(a) Electric field
E = dV/dX + dV/dY
V = axy + by2 + cy
E = ay + ax+2by+c
E = 3y + 3x -4y +5
E = 3x - y +5
(b) electirc field will be = 0
3x-y +5 = 0
3x+5 = y
(c) electric potential is zero on x axis that means at Y = 0

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