Home
Class 12
PHYSICS
The potential at a point x ( measured in...

The potential at a point x ( measured in `mu` m) due to some charges situated on the x-axis is given by
`V(x)=20//(x^2-4) vol t`

A

` (10//9)` volt //mumand in the + ve `x` direction

B

`( 5 //3)` volt //mu m and in the - ve `x` direction

C

`( 5 //3 ) volt //` mum and in the `+ ve 9 x` direction

D

`(10 //9 ) volt //`volt //mum in the - ve `x` direction

Text Solution

Verified by Experts

The correct Answer is:
A
` v (x) = (20)/(x^2 -4), E = - (dv)/(dx) =- d/(dx) ((20)/(x^2 -4)) = (20)/((x^2 - 4)^@) (2 x)`
`E at x = 4 mu m, ((20)(2 xx 4))/(144) = (10)/9` volt// mu m
Also as `x` increases , `V` decreases So , `E` is along `+ ve x -` axis .
Promotional Banner

Similar Questions

Explore conceptually related problems

The potential at a point distant x (mesured in mum ) due to some charges situated on the x-axis is given by V (x)=(20)/(x^(2)-4) V. The electric field at x=4 mum is given by

The electric potential at a point (x,y,z) is given by V=-s^(2)

The potential at a point in space depends only upon the x-coordinate and it is given as V = (1000)/(x)+(1500)/(x^(2))+(500)/(x^(3)) Determine the electric field strength at point where x = 1 m .

The electric potential V at any point x, y, z (all in meters) in space is given by V=4x^2 volts. The electric field at the point (1m, 0, 2m) is…………….. V//m .

The electric potential V at any point x,y,z (all in metre) in space is given by V=4x^2 volt. The electric field at the point (1m, 0, 2m) is …………… V/m .

Electric potential at a point P , r distance away due to a point charge located at a point A is V .If twice of this charge is distributed uniformly on the surface of a hollow sphere of radius 4r with centre at point A ,the potential at P now is given as: (v)/(x) value of x is

Potential Due to Point Charges||V vs X Graph

The electrostatic potential V at any point (x, y, z) in space is given by V=4x^(2)

The potential at a point (x, y) is expressed as V = 4x + 3y . A charge 1 mu C and mass 1 mg is released from (1, 1) from rest. (a) Find the acceleration of the charge. (b) Find the time when it crosses x axis.