In a certain region of space, the potential is given by V=k[2x2−y2+z2]. The electric field at the point(1,1,1) has magnitude :
2k√6
2k√3
k√6
4k√3
A
k√6
B
2k√3
C
4k√3
D
2k√6
Open in App
Solution
Verified by Toppr
Given,
V=k[2x2−y2+z2]
Electric field ,
→E=−(dVdx^i+dVdy^j+dVdz^k)
or,→E=−k(4x^i−2y^j+2z^k)
or,→E(1,1,1)=−k(4^i−2^j+2^k)
Magnitude of electric
field=|→E(1,1,1)|=√k2(16+4+4)=k√24=2k√6
Was this answer helpful?
26
Similar Questions
Q1
In a certain region of space, the potential is given by V=k[2x2−y2+z2]. The electric field at the point (1,1,1) has magnitude=
View Solution
Q2
If potential V=x2+y2+z2, then the magnetic of intensity of electric field at (1,1,1) is
View Solution
Q3
In a certain region of space with volume 0.2m3, the electric potential is found to be 5V throughout. The magnitude of electric field in this region is :
View Solution
Q4
In a certain region the electric potential is given by the formula V(x, y, z)=2x2y+2y3z−4z4x. Find the components of electric field and the vector electric field at point (1,1,1) in this field.
View Solution
Q5
The potential in an electric field has the form V=a(x2+y2+z2). The modulus of the electric field at a point (z,y,x) is