Numerical based on electric field

Numerical based on electric field

This topic contain numerical for the practice of the chapter electric field

Before to solve the numerical based on electric field students has to study ( learn ) , and all the notes based on electric field , electric dipole ( axial and equatorial point)

To read or download the notes on electric field click here-

To read or download the notes on electric dipole , electric field at equatorial and axial point click here-

Numerical based on electric field

  1. Two point charges +16μc and -9μc are placed 8cm apart in air . Determine the position of the point at which the resultant electric field is zero .          [ Ans-  24 cm]
  2. A particle of mass m and charge q is thrown at speed u against a uniform electric field E . How much distance will it travel before coming to momentary rest . ?   [Ans- mu2/2qE]
  3. A particle of mass m and charge q is released from rest in uniform electric field of intensity E . Calculate the kinetic energy it attains after moving a distance a distance x between the plates .   [Ans- qEx]
  4. Eight identical point charges of q coulomb each are placed at the corners of a cube of each side 0.1 m . calculate the electric field at the centre of the cube . calculate the field at the centre when one of the corner charge is removed .   [Ans – 0 ; 1.2 x 1012 .]
  5. Two charges + 30μc and -30μc are placed 1cm apart . calculate electric field at a point on the the axial and equatorial line at a distance of 20 cm from the centre of the dipole .                        [ Ans- 6.25 x 105 N/C and 3,25 x 105‑ N/C .]
  6. Four particles each of charge q are be placed on the vertices A ,B, C, D of a regular pentagon ABCDE . the distance of each corner from the centre is ‘a’ . Calculate the electric field at the centre of the pentagon .   [ Ans- q/4∏ϵ0 a2 along OE .]
  7. A small sphere of mass 1g carries a charge of +6μc . The sphere is suspended by a string in an electric field of 400N/C acting downwards. Calculate the tension in the string . What will be the tension if the charge on the sphere be -6μc .                                       [Ans- 1.22x 10-2 N . ; 74 x 10-4 N .]
  8. An electron falls through a distance of 1.5 cm in uniform electric field of value 2 x104N/C . when the direction of electric field is reversed , a proton falls through the same distance . compare the time of fall in each case .
  9. A particle of mass ‘m’ and charge -q enters the region between two charged plates initially moving along x-axis with speed vx ( as shown in the fig) . The length of the plate is L and an uniform electric field E is maintained between the plates . Show that the vertical deflection of the particle at the far edge of the plate is    QelL2 / (2m vx2) .                                                                                           
  10. As shown in the figure three charged particles in a uniform electrostatic field . Give the sign of three charges . Which particle has the highest charge to mass ratio .                                                             

 

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