AIPMT | 2014ElectrostaticsHard
Question
In a region, the potential is represented by V(x, y, z) = 6x - 8xy - 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is
Options
A.6√5 N
B.30 N
C.24 N
D.
Solution
V = 6x - 8xy - 8y + 6yz
Ex = -
= -(6 - 8y) = 2
Ey = -
= -(-8x - 8 + 6z) = 10
Ez = -
= - 6y = - 6
E =
= 2
F = qE = 4
Ex = -
= -(6 - 8y) = 2Ey = -
= -(-8x - 8 + 6z) = 10Ez = -
= - 6y = - 6E =
= 2
F = qE = 4
Create a free account to view solution
View Solution FreeMore Electrostatics Questions
A charge q = 10-6 C of mass 2 g (fig.) is free to move then calculate its speed, when it is at a distance of b. [Assume ...An electron and a proton are situated in a uniform electric field. The ratio of their acceleration is :-...A solid sphere of radius R is charged uniformly. The electrostatic potential V is plotted as a function of distance r fr...Two charges are placed as shown in fig. Where should be a third charge be placed so that it remains in rest condition : ...The electrostatic potential in a charged spherical region of radius $r$ varies as $V = ar^{3} + b$, where $a$ and $b$ ar...