Home
Class 12
PHYSICS
Two metallic conductors of arbitrary sha...

Two metallic conductors of arbitrary shape are given charge Q and -Q `(Q=2.25muc)`. Projection of electric field along line AB is given by `E=(2x+1)(N)/(C)`. If AB=0.5m. Find capacitance (in `muF` ).

Text Solution

Verified by Experts

The correct Answer is:
C
`Delta V = overset(0.5)underset(0)int Edx =[x^(2)+x]_(0)^(0.5) =0.25+0.5=0.75=(Q)/(C)`
`C= 3mu F`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two conductors carrying equal and opposite charges produce a non uniform electric field along X- axis given by E=(Q)/(in_(0)A)(1+Bx^(2)) where A and B are constant. Separation between the conductors along X-axis is X . Find the capacitance of the capacitor formed.

Two conducting objects one with charge of +Q and another with -Q are kept on x -axis at x=-3 and x=+4 respectively. The electric field on the x -axis is given by 3Q(x^(2)+4/3) . What is the capacitance C of this configuration of objects?

2 conducting objects one with charge of +Q and another with -Q are kept on x-axis at x=-3 and x -+4 respectively. The electric field on the x - axis is given by 3Q(x^(2)+4/3) What is the capacitance C of this configuration of objects. Fill 1/C (in F^(-1)) in OMR sheet.

A uniformly charged non-conducting spherical shell is given +q charge and a point charge -q is placed as shown. The electric field lines will be

A charge q = -2.0 muC is placed at origin. Find the electric field at (3 m, 4 m, 0) .

Two small conductors A and B are given charges q_(1) and q_(2) respectively. Now they are placed inside a hollow metallic conductor C carrying a charge Q. If all the three conductors A, B and C are connected by a conducting wire as shown, the charges on A,B and C will be respectively :

As charge q=1muC is placed at point (1m,2m,4m) . Find the electric field at point P(0,-4m,3m)

The plates of a capacitor of capacitance C are given the charges Q_1 and Q_2 as shwon in figure. Now the switch is closed at t =0. Find the charges on plates after time t.

A positive point charge (q) is projected along (+x) axis electric field is directed along (-y) axis E = E_0(-hatj) Find trajectory of charge after x = d.

Two particles of mass m and 2m with charges 2q and q are placed in a uniform electric field E and allowed to move for same time. Find the ratio of their kinetic energie