Two-point charges +*q* and –*q* are held fixed at (–*d*, 0) and (*d*, 0) respectively of a (*x*, *y*) coordinate system. Then

(1) *E* at all points on the *y-*axis is along $\hat{i}$

(2) The electric field $\overrightarrow{E}$ at all points on the *x-*axis has the same direction

(3) Dipole moment is 2*qd* directed along $\hat{i}$

(4) Work has to be done in bringing a test charge from infinity to the origin

Concept Questions :-

Electric dipole

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A point charge of 40 stat coulomb is placed 2 *cm* in front of an earthed metallic plane plate of large size. Then the force of attraction on the point charge is

(1) 100 *dynes*

(2) 160 *dynes*

(3) 1600 *dynes*

(4) 400 *dynes*

Concept Questions :-

Coulomb's law

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Four charges equal to – *Q* are placed at the four corners of a square and a charge *q* is at its centre. If the system is in equilibrium the value of *q* is** **

1. $-\frac{Q}{4}(1+2\sqrt{2})$

2. $\frac{Q}{4}(1+2\sqrt{2})$

3. $-\frac{Q}{2}(1+2\sqrt{2})$

4. $\frac{Q}{2}(1+2\sqrt{2})$

Concept Questions :-

Coulomb's law

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Which of the following graphs shows the variation of electric field *E* due to a hollow spherical conductor of radius *R* as a function of distance from the centre of the sphere

(1)

(2)

(3)

(4)

Concept Questions :-

Electric field

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The electric field due to a uniformly charged sphere of radius *R* as a function of the distance from its centre is represented graphically by

(1) (2)

(3) (4)

AIIMS - 2004

Concept Questions :-

Electric field

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Two concentric conducting thin spherical shells *A* and *B* having radii *r _{A} *and

1.

2.

3.

4.

AIIMS - 2005

Concept Questions :-

Electric field

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Suppose the charge of a proton and an electron differ slightly. One of them is -e and the other is $\left(e+\u2206e\right)$. If the net of electrostatic force and gravitaional force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero,then $\u2206e$ is of the order [Given mass of hydrogen, ${m}_{h}$=1.67$\times {10}^{-27}$ kg]

(a) ${10}^{-20}C$

(b)${10}^{-23}C$

(c) ${10}^{-37}C$

(d) ${10}^{-47}C$

NEET - 2017

Concept Questions :-

Coulomb's law

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An electric dipole is place at an angle of ${30}^{\circ}$ with an electric field intensity 2$\times {10}^{5}$ N/C. It experiences a torque equal to 4 Nm. The charge on the dipole, if the dipole length is 2 cm, is

(a) 8 mC (b) 2 mC

(c) 5 mC (d) 7 $\mu $C

NEET - 2016

Concept Questions :-

Electric dipole

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Two identical charged spheres suspended from a common point by two massless strings of lengths l are initially at a distance d(d < < l) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then, v varies as a function of the distance x between the sphere, as

(a)$v\alpha x$

(b)$v\alpha {x}^{\frac{-1}{2}}$

(c)$v\alpha {x}^{-1}$

(d)$v\alpha {x}^{\frac{1}{2}}$^{}

NEET - 2016

Concept Questions :-

Coulomb's law

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The electric field in a certain region is acting radially outward and is given by E=Ar. A charge contained in a sphere of radius 'a' centered at the origin of the field will be given by

1. $4\pi {\in}_{o}A{a}^{2}$_{}

2. $\pi {\in}_{o}A{a}^{2}$

3. $4\pi {\in}_{o}A{a}^{3}$

4. ${\in}_{o}A{a}^{2}$

NEET - 2015

Concept Questions :-

Gauss law

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Difficulty Level: