Home
Class 12
PHYSICS
The volume charge density within a volum...

The volume charge density within a volume V is `rho ( r)` . What is the force on a small test charge `q_(0)` placed outside the volume having position vector `r_(0)` with respect to the same origin considered to specify the position vector of the charge distribution within the volume ?

Text Solution

Verified by Experts


Force on test charge , `q_(0) E = (k Q q_(0))/(|r_0|^2) = (k. V .rho( r) .q_(0))/(|r_(0)|^(2))`
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

The volume charge density within a volume is rho(r ) . What is the force on a small test charge q_0 placed outside the volume having position vector vector r_0 with respect to the same origin considered to specify the position vector of the charge distribution within the volume.

Three electric point charges q_0,q_1 and q_2 are at distances vect r_0,vec r_1 and vec r_2 respectively with respect to same origin. What is the force on charge q_0 in the filed of charges q_1 and q_2 ?

Three electric point charges q_(0) , q_(1) and q_(2) are at distance r_(0) , r_(1) and r_(2) , respectively with respect to same origin . What is the force on charge q_(0) in the field of charges q_(1) and q_(2) ?

A line charge lamda per unit length is lodged uniformly onto the rim of a wheel of mass M and radius R. The wheel has a light non-conducting spokes and is free to rotate without friction about its axis. A uniform magnetic field extends over a circular region within the rim. It is given by vecB=-B_0 K (r le a , a lt R) What is the angular velocity of the wheel alfter the field is suddenly switched off?

An electric charge 10^(-3) muC is placed at the origin (0,0) of xy-coordinate system. Two points A and B are situated in such a way that the position vectors are (sqrt(2)hati + sqrt(2)hatj)m and (2hati) m respectively. Calculate the potential difference between the points A and B.

You are to bring two charges q_(1) and q_(2) from infinity to the points represented by the potentials V_(1) and V_(2) in an electric field E. If the distance between q_(1) , and q_(2) within the field E is r, find the total work done in assembling the configuration. Imagine an electric field E=(20hati+30hatj)NC^(-1) in a space. The potential at the origin is zero. Find the potential at the point (2, 2).

A magnetic field of instantaneous induction B is confined to a cylindrical volume of radius R. B is increasing at a constant rate of 0.01 T/s. What is the instantaneous acceleration experienced by an electron placed at a distancer (r ltR) from the centre?

Figure shows three charges q_1 , q_2 and q_3 . What forces acts on q_1 , if q_(1) = 1 mu C , q_(2) = 3 mu C and q_(3) = - 2mu C , r_(12) = 0.15 m , r_(13) = 0.1 m , theta = 30^(@) ?