Home
Class 12
PHYSICS
The electric potential at a point in fre...

The electric potential at a point in free space due to a charge `Q` coulomb is `Q xx 10^(11)` volts. The electric field at that point is

A

`12piepsi_(0)Qxx10^(22)Vm^(-1)`

B

`4 pi epsi_(0)Qxx10^(22)Vm^(-1)`

C

`12pi epsi_(0)Qxx10^(20)V m^(-1)`

D

`4 pi epsi _(0)Qxx10^(20)V m^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `V=Q/(4piepsilon_0r) =Qxx10^11`
`therefore 4piepsilon_0r=10^(-11)` …(i)
Now, `E=Q/(4piepsilon_0r^2)=(Qxx4piepsilon_0)/((4piepsilon_0r)^2)=(4piepsilon_0Q)/((10^(-11))^2` (Using (i))
`=4piepsilon_0Qxx10^22 V m^(-1)`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    NCERT FINGERTIPS|Exercise Potential Due To An Electric Dipole|5 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    NCERT FINGERTIPS|Exercise Potential Due To A System Of Charges|7 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • ELECTROMAGNETIC WAVES

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

  • MAGNETISM AND MATTER

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

The electric potential at a point in free space due to charge Q coulomb is Q xx 10^(11) volts . The electric field at that point is

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

Electric potential at some point in space is zero then at that point

Electric field due to point charge

The electric field at a point due to a point charge is 20 NC^(-1) and electric potential at that point is 10 JC^(-1) . Calculate the distance of the point from the charge and the magnitude of the charge.

The electric field at a point due to a point a charge is 30 N//C , and the electric potential at that point is 15 J//C . Calcualte the distance of the point from the charge and the magnitude of the charge.

Electric flux through a closed surface in free space enclosing a charge q is

The electric field at a point due to a point is 10NC^(-1) and the electric potential at that point is 15JC^(-1) Calculate the distance of the point from the charge and the magnitude of the charge.

A spherical shell of radius R has a charge +q units. The electric field due to the shell at a point