Question

The electric potential in a certain region along the x-axis varies with x according to the relation V(x)=54x2. Then, the correct statement is :

A
the potential difference between the points x=1m and x=2m is 12 Volt
B
the force experienced by a Coulomb of charge placed at x=1 m is 8 Newton
C
the electric field components along Y and Z direction are zero
D
all of the above
Solution
Verified by Toppr

V(x)=54x2

V(1)=54=1V,V(2)=54(22)=11V

Potential difference between x=1m and x=2m is V12=V1V2=1(11)=12V

here, Ex=dVdx=8x,Ey=dVdy=0 and Ez=dVdz=0

The electric force on 1 coulomb charge at x=1 is F=qEx=1(8)=8N

Was this answer helpful?
0
Similar Questions
Q1

The electric potential (V) in volts varies with x (in meter) according to the relation V=5+4x2. The force experienced by a negative charge of 2 μC located at x = 0.5 m is


View Solution
Q2

The electric potential V at any point x,y,z (all the coordinates are in metres) in space is given by V=4x2 volt. The electric field at the point (1 m,0,2 m) in V/m is:

View Solution
Q3

The electric potential varies in space according to the relation V=3x+4y. A particle of mass 0.1kg starts from rest from point (2,3.2) under the influence of this field. The charge on the particle is +1μC. Assume V and (x,y) are in S.I. units
The component of electric field in the x - direction (Ex) is

View Solution
Q4

The electric potential (V) in volts varies with x (in meters) according to the relation V=5+4x2. The force experienced by a negative charge of 2 μC located at x=0.5 m is

View Solution
Q5

The electric potential V (in volt ) varies with distance x (in meter) according to the relation V=5+4x2. The force experienced by a negative charge of 2 μC located at x=0.5 m is

View Solution
Solve
Guides