How much potential energy is stored in a system of charges that consists of 3 charges, each with charge +Q + Q placed at the corners of an equilateral triangle of side length d d d ?

1 4 π ϵ 0 3 Q d \frac{1}{4\pi\epsilon_0}\ \frac{3Q}{d} 4 π ϵ 0 1 d 3 Q

1 4 π ϵ 0 Q d \frac{1}{4\pi\epsilon_0}\ \frac{Q}{d} 4 π ϵ 0 1 d Q

1 4 π ϵ 0 2 Q d \frac{1}{4\pi\epsilon_0}\ \frac{2Q}{d} 4 π ϵ 0 1 d 2 Q

1 4 π ϵ 0 4 Q d \frac{1}{4\pi\epsilon_0}\ \frac{4Q}{d} 4 π ϵ 0 1 d 4 Q

A charge q q q with mass m m m is placed in a uniform electric field E E E and experiences a potential energy change of q E d qEd q E d as it moves between two points a distance d d d apart. Which of the following gives the velocity of the charge at this new location?

2 q E d m \sqrt{\frac{2qEd}{m}} m 2 q E d <path d="M424,2478c-1.3,-0.7,-38.5,-172,-111.5,-514c-73, -342,-109.8,-513.3,-110.5,-514c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5, 25c-5.7,9.3,-9.8,16,-12.5,20s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13, -13s76,-122,76,-122s77,-121,77,-121s209,968,209,968c0,-2,84.7,-361.7,254,-1079 c169.3,-717.3,254.7,-1077.7,256,-1081c4,-6.7,10,-10,18,-10H400000v40H1014.6 s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185c-2,6,-10,9,-24,9 c-8,0,-12,-0.7,-12,-2z M1001 80H400000v40H1014z">

q E d m \sqrt{\frac{qEd}{m}} m q E d <path d="M424,2478c-1.3,-0.7,-38.5,-172,-111.5,-514c-73, -342,-109.8,-513.3,-110.5,-514c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5, 25c-5.7,9.3,-9.8,16,-12.5,20s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13, -13s76,-122,76,-122s77,-121,77,-121s209,968,209,968c0,-2,84.7,-361.7,254,-1079 c169.3,-717.3,254.7,-1077.7,256,-1081c4,-6.7,10,-10,18,-10H400000v40H1014.6 s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185c-2,6,-10,9,-24,9 c-8,0,-12,-0.7,-12,-2z M1001 80H400000v40H1014z">

2 q E d m \frac{2qEd}{m} m 2 q E d

Electric potential is defined as potential.

electrical potential energy of a charge divided by the quantity of the charge.

electrical potential energy of a charge multiplied by the quantity of the charge.

The relation between electric field and electric potential is

E = − d V d r E=-\frac{dV}{dr} E = − d r d V

E = d V . d r E=dV.dr E = d V . d r

V = d E . d r V=dE.dr V = d E . d r

V = − d E d r V=-\frac{dE}{dr} V = − d r d E

Electric potential energy of an electric dipole in a uniform electric field is given by

U = − p → . E → U=-\overrightarrow{p\ }.\overrightarrow{E} U = − p <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> . E <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

U = p → × E → U=\overrightarrow{p\ }\times\overrightarrow{E} U = p <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> × E <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

U = E → × p → U=\overrightarrow{E}\times\overrightarrow{p} U = E <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> × p <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z">

U = − ( p → . E → ) ϵ o U=-\frac{\left(\overrightarrow{p\ }.\overrightarrow{\ E\ }\right)}{\epsilon_o} U = − ϵ o ( p <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> . E <path d="M0 241v40h399891c-47.3 35.3-84 78-110 128 -16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85 -40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5 -12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67 151.7 139 205zm0 0v40h399900v-40z"> )

A charge Q is supplied to a metallic conductor. Which is true?

Electric potential inside it is constant

Electric field inside it is same as on the surface

Electric potential inside is zero

Electric potential on the surface is zero

Electric field is always :

Perpendicular to equipotential surface

Parallel to equipotential surface

It can be perpendicular and parallel as well

It does not depends on distribution of charge

Electrical potential and Potential energy-Basics

Authored by GIRISHKUMAR G

Physics

12th Grade

NGSS covered

Used 20+ times

Electrical potential and Potential energy-Basics

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26 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Electric potential ____________ as distance increases.

Increases

Decreases

Remains Constant

Is 0

The SI unit for electric potential is the ___________.

Volen

Vespa

Volt

Valspar

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Electrostatic potential energy is recorded in units of electron-Volts (eV). What is equivalent to 1 eV?

1.602×10⁻¹⁹ 𝐽

100 𝐽

220 𝐽

0.003 𝐽

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The direction of electric field lines shows the

direction of the force on a test positive charge.

size of the field.

strength of the field.

all of the above

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Two charges +q and -3q are placed at a distance of 1m apart. The points on the line joining two charges, where electric potential is zero, is :

0.25 m, 0.5 m

1 cm , 0.50 m

0.35 cm , 24 cm

none of these

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Suppose the electrostatic potential at some points in space are given by V = ( x² - 2x ). The electrostatic field strength at X= 1 is :

zero

-2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The magnitude of electric potential is ______ at an infinite distance.

negative infinity

positive infinity

200

A point charge $-Q$ is placed a distance $d$ from another point charge $+2Q$ . How much work was required to place the negative charge at this location?

$-\frac{1}{4\pi\epsilon_0}\frac{Q}{d}$

$\frac{1}{4\pi\epsilon_0}\frac{2Q}{d}$

$-\frac{1}{4\pi\epsilon_0}\ \frac{2Q^2}{d}$

$\frac{1}{4\pi\epsilon_0}\frac{2Q^2}{d}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much potential energy is stored in a system of charges that consists of 3 charges, each with charge $+Q$ placed at the corners of an equilateral triangle of side length $d$ ?

$\frac{1}{4\pi\epsilon_0}\ \frac{Q}{d}$

$\frac{1}{4\pi\epsilon_0}\ \frac{2Q}{d}$

$\frac{1}{4\pi\epsilon_0}\ \frac{3Q}{d}$

$\frac{1}{4\pi\epsilon_0}\ \frac{4Q}{d}$

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A positive charge $+Q$ is placed a distance $d$ from a negative charge $-Q$ . Note these charges have the same magnitude but different sign. Which of the following is true about the electric field and the electric potential at a point midway between the two charges?

The electric field is zero and the electric potential is zero

The electric field is not zero and the electric potential is zero

The electric field is zero and the electric potential is not zero

The electric field is not zero and the electric potential is not zero

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Electrical potential and Potential energy-Basics

Electric potential ____________ as distance increases.

The SI unit for electric potential is the ___________.

Electrostatic potential energy is recorded in units of electron-Volts (eV). What is equivalent to 1 eV?

The direction of electric field lines shows the

Two charges +q and -3q are placed at a distance of 1m apart. The points on the line joining two charges, where electric potential is zero, is :

Suppose the electrostatic potential at some points in space are given by V = ( x2 - 2x ). The electrostatic field strength at X= 1 is :

The magnitude of electric potential is ______ at an infinite distance.

A point charge -Q−Q is placed a distance ddd from another point charge +2Q+2Q+2Q . How much work was required to place the negative charge at this location?

How much potential energy is stored in a system of charges that consists of 3 charges, each with charge +Q+Q placed at the corners of an equilateral triangle of side length ddd ?

A positive charge +Q+Q is placed a distance ddd from a negative charge −Q-Q−Q . Note these charges have the same magnitude but different sign. Which of the following is true about the electric field and the electric potential at a point midway between the two charges?

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Suppose the electrostatic potential at some points in space are given by V = ( x² - 2x ). The electrostatic field strength at X= 1 is :

A point charge $-Q$ is placed a distance $d$ from another point charge $+2Q$ . How much work was required to place the negative charge at this location?

How much potential energy is stored in a system of charges that consists of 3 charges, each with charge $+Q$ placed at the corners of an equilateral triangle of side length $d$ ?

A positive charge $+Q$ is placed a distance $d$ from a negative charge $-Q$ . Note these charges have the same magnitude but different sign. Which of the following is true about the electric field and the electric potential at a point midway between the two charges?