Electric Field and Potential Questions and Answers

27 The current flowing in the given circuit is 0 2 The potential difference between the point A and B will be 1 0 4 V 3 0 2 V 302 wwww 202 6V 4 V 2 2 V 4 1 V www B

1 50 A simple pendulum of length and bob mass m is hanging density o If suddenly a charge q is given to the bob it is in front of a large nonconducting sheet having surface charge released from the position shown in figure 1 458 Find the maximum angle through which the string is deflected from vertical

Two spherical conductors of radii 2 cm and 6 cm are placed concentrically in air The inner sphere is connected to earth while the other is given a charge of 9 statcoulomb Then the charge in statecoulomb on the inner sphere is 1 6 2 6 3 3 4 3

Find the magnitude of potential difference between points Q and P when a uniform electric field of 100 V m acts at 45 to x axis Given OP 2m and OQ 4 m 1 200 V 3 100 2 V E P 2 400 V 4 200 2v

plates of a parallel plate capacitor are charged by a battery and the battery is disconnected after the charging Now the plates are placed as shown in the figure Then plates are not parallel to each other A B the surface charge density is greater at point A the surface charge density is greater at point B

nd the electric field at the location of q in the figure below given that q magnitude irection 9a N C counterclockwise from the x axis 9c g 9 4 45 nC q 1 00 nC and the square is 16 5 cm on a side The x axis is directed to the right

1 Two short dipoles having dipole moment P and P are placed such that their axis are parallel to each other as shown in figure If sepration between them is r then the magnitude of force experienced by P 1 due to P is K 2 1 P 6KPP 4 KP P 1 4 EO r 2 P 3KP P 2 r4

2017 6 Suppose the charge of a proton and an electron differ slightly One of them is e the other is e Ae If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d much greater than atomic size apart is zero then Ae is of the order of Given mass of hydrogen m 1 67 x 10 27 kg a 10 23 C c 10 7 C b 10 37 C d 10 20 C NEET 1

Two positive ions each carrying a charge q ar separated by a distance d If F is the force o repulsion between the ions then the number o electrons missing from each ion will be e being the charge on an electron 1 4 0 Fd q 2 4T En Fe 2 2 4 0 Fd e 2

A hollow cylinder has a charge q coulombs located within it symmetrically If o is the electric flux in units of volt meter associated with the curved surface B the flux linked with the plane surface A in units of volt meters will be 1 C 9 0 q B u on 2 A 19 1 4

8 Three charges each q are placed at the three corners of an isosceles triangle ABC with sides BC and AC each equal to 2a D and E are the mid points of BC and CA respectively The work done in taking a charge Q from D to E is 3qQ 1 4 Eo a 3qQ 2 8 EO Eo a qQ 3 4 Eo a 4 Zero B 9 A D E 2

A conducting spherical shell of radius R is given a charge of a Another point charge is kept at a distance of 3R from its centre consider a point P at a distance R 2 from the centre of shell on the line joining point charge and centre towards point charge Find the electrostatic potential at point P due to shell A B C 2kQ 5R KQ 3R 11KQ 15R

Four electric charges q q qand q are placed at the corners of a square of side 2L see figure The electric potential at point A midway between the two charges q and q is q q 1 1 4t Eo 1 q 2q L A 1 5 2 1 2q L 4t Eo 2q 29 1 1 4 7pm Zero 1 1 5

The electric potential at a point in free space du to a charge Q coulombs is Q x 1011 volts The electric field at that point is 1 4 EO Q x 1020 volts m 2 12 EO Q x 1022 volts m 3 4 EO Q x 1022 volts m 4 12 E Q x 1020 volts m

There is non conducting sphere of radius R which is uniformly charged If smaller concentric sphere R of radius is removed The electric field inside HVEM 2 the cavity is 1 Zero 2 Non zero and uniform 3 Non zero and non uniform 4 Data is insufficient

In the equation relating electric field E electric displacement vector D and polarisation vector P as given below 1 Point D E0E P value of D is decided by values of E and P value of P is decided by values of D and E value of E is decided by values of D and P All three are independent of each other

The electric network shown in figure is part of a complete circuit If at any instant current i 1 A and potential difference across A and B di is zero then value of is dt A www R 202 5V L 12 mH m B

2 A charge Q is divided into two charge q and 92 separated by a distance r The force of repulsion between them will be maximum when 1 9 0 0 N 11 Q Q 3 9 2 2 92 4 9 11 olo ol Q Q

Potential is by virtue of position with re spect to a charge It means potential va ries with position But incase of circuits potential does not change to some poi nt and reduces suddenly if there is som e electric component or resistance whi y And also why potential drop equally shares between two same electric co mponents in a circuit but incase of a si ngle eclectric component in a circuit po tential drop reduces to zero

Choose the correct answer 1 Three identical non conducting spheres each of charge 1 C uniformly distributed and radius 1m are kept such that each touches the other two The magnitude of electric force on any sphere due to the other two will be 1 5 6 x 10 N 2 4 1 x 10 N 3 6 8 x 10 N 4 3 9 10 N 64 charged drone coalesce to form Medical bigger

6 Figure shows a set of equipotential surfaces magnitude and direction of electric field that exists in the region is y 2 135 20 V 10 V 30 V 40 V 1 10 2 V m at 45 with x axis 2 10 2 V m at 45 with x axis 3 5 2 V m at 45 with x axis 4 5 2 V m at 45 with x axis x m

1 Figures a and b show the electric lines of force of a positive and negative charge respectively b What are the signs of potential difference VP VQ and VB VA

5 1 A particle of mass m and positive charge q is projected towards an infinitely long line of charge having linear density of charge 2 from a distance ro The direction of initial velocity vo makes an angle 30 with the normal to the line of charge as shown in the figure The minimum distance of approach of the charge particle with the line of charge will be neglect gravity Take A e mv 4q B D 20 200 30 m c

Respected Teacher Here I am confused between option 1 and 2 The answer gi ven is 2 but why can we not check presence of charge by i nduction For eg a positively charged body is brought near an uncharged body and as the uncharged body get polariz ed the positive charge is nulified by earthling So the unch arged body becomes negatively charged Hence why can w e not say that the given body was charged Also what does the frictional force refer to in 4th option Does it refer to the charging of bodies by friction If yes th en why can it not be an answer THIS VIDOLUTIO 2 Sure check for presence of electric charge is 1 Process of induction 2 Repulsion between bodies 3 Attraction between bodies 4 Frictional force between bodies 3 If a solid and a hollow conducting sphere have Asked by 3087790 aesl id Standard XII Stream NEET Aug 3 2021 at 3 27 PM Add your responses Type Text Type your answer here OR you can upload an attachment from the option below Attachment size should be 5MB or less Keep the format in jpg or png or pdf or doc or docx only 2

1 330 m s 2 350 m s 3 300 m s 4 360 m s 31 An infinite sheet of charge has a surface charge density of 8 85 x 10 7 C m2 The separation between two equipotential surfaces whose potentials differ by 10 V is 1 0 2 mm 3 2 cm An inductor of I 32 2 2 mm 4 20 cm 35

Two uniformly charged rings of radius R and 2R are placed co axially as shown in figure If net electric field at point P which is x x R distance away from common centre O is zero then which relation is correct for charge in rings A Q C Q 8Q2 4Q R 2R P KX B Q 8Q D Q 4Q

A positive charge particle having charge q and mass m has velocity v v at the origin Its speed as the function of y is A v qE y 2m B E B44E Z qE 2m y C v 2qE m y in the magnetic field D None of the above

An inclined plane making an angle of 30 with horizontal is placed in a uniform horizontal electric field E of 100 V m A particle of mass 1 kg and charge 0 01 C is allowed to slide down from rest from a height of 1 m If the coefficient of friction is 0 2 the time taken by X the particle to reach the bottom is t 3 Find the value of X g 9 8 m s E 100 V m 30 1m sec

Two point charges repel each other with a force of 100 N one of the charges is increased by 10 and the other is reduced by 10 The new force of repulsion at the same distance would be 100 N 99 N 121 N

Four charges q q q and q are placed respectively at the corners A BC and D of a square of side a arranged in the given order IfE and Fare mid points of side BC and CD respectively what will be workdone in carrying a charge e from Oto E and from O to F

Solution Free charges q q and q are situated in X Y plane at points 0 a 0 0 and 0 si respective Find the potential at a distant point r r a in a direction making an angle 9 from the Y axis Va Potential at point P due to charge q placed at origin is Vo potential due to remaining charge system dipole can be written as kq r kp r cose kq 2a cose r2 HenceV V V kq ka 14 1 2a cos 0 r 0 a q No 90 0 a q dipole mom p q2a

3 A sphere of charge has a radius R and a charge density given by p a r where a is a constant and r is the distance from the cente and p 0 for R What is the expression for the electric field when r R

Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance r in free space is E Permitivity of free space 2 R E H 1 EE 2 E ER r 2 3 E F R Eo Er

9 Two point charges Q and q are placed at distances x and x 2 respectively from a third charge 4q all charges being in the same straight line Calculate the magnitude and nature of charge Q such that the net force experienced by the charge q is zero If the nature of Q is changed will the net force experienced by the charge q be still zero Justify without calculation 3

An electric dipole is placed at an angle of 30 to a non uniform electric field The dipole will experience a a torque only b a translational force only in the direction of the field c a translational force only in a direction normal to the direction of the field d a torque as well as a translational force

3 27 A space is filled up with a charge with volume density p Poe ars where po and a are positive constants r is the distance from the centre of this system Find the magnitude of the electric field strength vector as a function of r Investigate the obtained expres sion for the small and large values of r i e at ar 1 and ar 1

A cube of side b has a charge q at each of its vertices Determine the electrostatic potential and electric field due to this charge array at the centre of the cube 9 a 29 meb6eb c 4q 3 3xb zero b d 4q 3b6eb 4q 9 zero

point charge of 3 00 C is located in the center a spherical cavity of radius 6 50 cm inside an ulating spherical charged solid The charge msity in the solid is 7 35 x 10 C m Part A Calculate the magnitude of the electric field inside the solid at a distance of 9 10 cm from the center of the cavity Express your answer with the appropriate units HA E Value Submit Request Answer Part B Units Find the direction of this electric field radially outward radially inward

4 A circle of radius r is drawn with a positive charge Q at the centre Another charge qui brought from point B to point C What is the work done Q B

10 Three point charges q q and 2q are placed at the different vertices of an equilateral triangle of side d as shown in the figure The dipole moment of the system is A a P 3qd c P 2qd b P qd d P qd

1 25 points Sa A charged particle is moved from point A which is having electric potential of VA 199 V to point B which is having electric potential of Vg 117 V What is the elctric potential difference between A and B

Two particles have equal masses of 5 g each and opposite charges of 4x105 Cand 4x10C They are released from rest with a separation of 1 m between them Find the speed of particles when the separation is reduced to 50 cm

1 25 points A large flat horizontal sheet of charge has a charge per unit area of 141 uc m2 Find the magnitude of the electric field just above the middle off sheet

It requires 1 mJ of work to move two identical positive charge q from infinity so that they are separated by distance a How much work is required to move four identical positive charges q from infinity so that they are arranged at the vertices of a tetrahedron with edge length a A 3 mJ 6 t B 4 mJ D 16 mJ

An electric dipole of moment P is placed at the origin along the x axis The electric field at a point P whose position vector makes an angle 8 with the x axis will make an angle 1 2 3 1 with the x axis where tan a 2tan0 a 9 Question Type Single Correct Type e B e a P A

A grounded conducting sphere Must be positively charged Must be negatively charged Must be neutral O May be negative positive or neutral

A charge q is kept in front of a neutral metallic sphere as shown in figure The electric field at the centre of sphere due to induced charge on surface of sphere is R 14 X Zero 9 4 d 9 4ne d 9 d 9

Online Mock Test Series for NEET 2020 Two points P and Q are maintained at the potentials of 10 V and 4 V respectively The work done in moving 100 electrons from P to Q is 2 2 24 x 10 16 J 1 2 24 x 10 16 J 3 9 60 10 17 J 4 19 10 16 J

The circuit is closed for long time so that the capacitors are fully charged Switch is opened at a certain instant The heat developed in resistor R after that instant is H Joule Then find 100H C 1 F HH HH C 2 F R 1000 F 30 SW R 2000 R 5002

incorrect statement 1 the potential energy per unit positive charge in an electric field at some point is called the electric potential 2 the work required to be done to move a point charge from one point to another in an electric field depends on the position of the points 3 the potential energy of the system will increase if a positive charge is moved against the Coulombian force 4 the value of fundamental charge is not gquivalent to the electronic charge