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
In nucleus the force between proton and proton is...How many times, the potential of big drop in comparison to small drops which is made of 8 droplets will be, if all the d...What is the electric potential at a distance ′x′ from the centre inside a conducting sphere which is charged...Two charges are +2μC and -5μC. Find the ratio of mutual forces acting on it :-...A positively charged body ′A′ has been brought near a neutral brass sphere B mounted on a glass stand as sho...