Electric Charges and Field


   
 
Electric Field
The electric field or electric field strength is the electrostatic force acting on a small positive test charge placed at that point. If is the electrostatic force experienced by a test charge q at a point, then the electric field intensity at that point is given by
 
 
S.I unit of electric field intensity is newton/coulomb(NC-1).
 
Note:
 
If the test charge is not small, then the electric field may be affected by the test charge and hence we modify the above equation as follows:
 
 
Electric Field Due to a Point Charge
 
Consider a charge Q at the origin of the co-ordinate system. Let a test charge q be placed at a distance r from the origin.
 
 
 
 
 
 
 
 
The magnitude of the electric field intensity due to a point charge is
 
 
Electric Field Due to a System of Charges
Consider a system of charges q1, q2, ………..qn placed at distances r1, r2, ………..rn with respect to some origin. Then the electric field intensity due to all these charges at a point is found out using the intensity due to the number of charges q1, q2, ………..qn. Then the given by the superposition theorem.
 
 
Electric field intensity due to the nth charge is
 
 
Magnitude of the electric field intensity is given by the equation
 
 
Physical Significance of Electric Field
Calculations of electric field intensity are of tremendous importance due to the technological applications of electric forces. To determine the trajectories of electrons in a T.V. tube, in an accelerator used in cancer radiotherapy, or of charged particles in a semiconductor electronic device we have to know the detailed nature of the electric field acting on the charges. Thus electric field helps us determine the electrical environment of a system of charges.
 
 
     
   
Get unlimited tutoring in Math, English, Physics, Chemistry, Biology, Algebra, Geometry and all other subjects at $99.99 per month!