Electric Field and Potential Questions and Answers

7 A 3 00 nC charge is at the origin A 2 50 nC charge is on the y axis at y 1 500 m A 4 00 nC charge is located at y 0 500 m What is the magnitude and direction of the electric field at y 1 00 m What is the electric potential at y 1 00 m

4 4 0 1 0 A Two identical point charges are placed at a separation of 1 P is a point on the line joining the charges at a distance x from any one charge The field at P is E E is plotted against x for values of x from close to zero slightly less than 7 Which of the following best represents the resulting curve E U M B X E X E NL D X IT Review X

A small linear charge is hanging in equilibrium above an infinitely long straight line charge as shown in figure The equilibrium position is h height above The two linear charges are placed in x y plane Am hanging in equilibrium L Z h Small linear charge is in stable equilibrium along y direction fixed Small linear charge is in unstable equilibrium along z direction Small linear charge is in Neutral equilibrium along x direction 00 Small oscillations about stable equilibrium are SHM with time period T 2 DIJ

Electrical Potential 164 brigh how elect 4 1 6A Explain how electrical potential relates to the distance between charged objects In which of the cases below is the electrical potential energy increasing In which cases is the electrical potential energy decreasing In which cases is the electrical potential energy remaining constant 4 1 6B Use equation to determine electrical potential voltage work energy or charge What is the electrical potential generated when 15 0 joules of work are done in moving a 5 0 coulomb charge through an electric field What is the amount of work needed to increase the electrical potential of a 2 0 coulomb charge by 8 0 volts What is the charge on an object that requires 6 4 x 10 19 joules of work to be moved through an electrical potential of 2 0 volts 4 1 6C Convert from electron volts to joules and joules to electron volts Convert 3 2 x 10 5 joules into electron volts ev Convert 6 4 electron volts into joules 025 10 4 1 6D Explain when it is appropriate to express energy in units of electron volts What is the amount of energy needed to move an electron through an electrical potential of 3 0 volts Express this energy in both joules and electron volts An object with a 4 0 coulomb charge is accelerated through an electrical potential of 12 0 volts What amount of kinetic energy does the object gain Express this energy in both joules and electron volts Electrical Current 4 2 1A Use equation to determine electrical current charge or time What is the amount of electrical current passing through a wire if 35 coulombs of charge flow through it in 5 0 seconds If a 2 5 ampere current is flowing through a given point on a wire how long would it take for 100 coulombs of charge to pass this point How much charge passes through a wire if a current of 10 ampere flows through it for 30 seconds 4 2 18 Determine the number of electrons flowing through a system based on current or current based on number of electrons through a given point How many electrons per second are flowing through a point in a wire that has 5 0 amperes of current passing through it 6 4 x 10 4 electrons pass through a given point every second What amount of electrical current does this represent

Two point charges 4Q Q are placed on X axis at a distance of d from each other as shown 4Q charge is at origin and Q charge is at d 0 position Considering the electric field values along x axis only YA 4Q Net electric field is zero at position 2d 0 There is a minima value of electric field between the two charges at position d 1 41 3 2d Net electric field is zero at position 20 from origin There is a maxima value of electric field in the region towards right side of Q charge at d 41 3 from

A cube of side 20 cm has its center at the origin and its one side is along the x axis so that one end is at x 10cm and the other is at x 10cm The magnitude of electric field is 100 N C and for x 0 it is pointing in the ve x direction and for x 0 it is pointing in the ve x direction as shown The sign and value of charges inside the box are Given that X 0 8 85 x 10 12 C N m AIPMT MAINS 2006 1 Negative 6 10 C 2 Positive 7 08 x 10 C 3 Positive 6 x 10 C 4 Negative 7 08 10 C X

32 A spherical conductor with radius 2 0 mm carries a charge of 7 0 C What is the electrical field strength at a distance of 6 0 mm from the center of the conductor Let the constant k 9 0 x 109 Nm C2 88 10 N C 25 10 N C O 1 8 10 N C 780 109 N C

25 Two uncharged metal spheres 1 and 2 are mounted on insulating support rods A third metal sphere carrying a positive charge is then placed near 2 Now a copper wire is momentarily connected between 1 and 2 and then removed Finally sphere 3 is removed In this final state sphere 1 carries positive charge and 2 carries negative charge spheres 1 and 2 both carry negative charge spheres 1 and 2 both carry positive charge sphere 1 carries negative charge and 2 carries positive charge spheres 1 and 2 are still uncharged

14 8 pts Two uniformly charged solid spheres of total charge Q and Q with radius R are placed along the x axis with centers at x 0 and x 2R respectively The electric field produced by both charged sphere at x R 2 is A E k 2 1 2 x B E k 4 k 2 x c k 12 R2 4 D E k 8 4 R 9 Q 4 E E k F E K 4 x Q Ty Q2 K ford x

PART A Complete solution required Two point charges are placed on the x axis The first charge q 10 C is at the origin and the second 92 2 C to the right at x 100 cm 1 What are the magnitude and direction of the electrostatic force which acts on the charge at the origin 2 magnitude of the electrostatic force which acts on the charge at the origin Dani direction of the electrostatic force which acts on at the origin the charge K

Name Quiz Electrostatics Set 3 4 I completed my practice problems 1 What is the direction of the electric force on an electron in an electric field that points north Explain your reasoning 2 A 5 6 mC charge is in an 3 2 N C electric field What is the magnitude of the force on the charge

1 There are very large numbers of charged particles in most objects Why then don t most objects exhibit static electricity harge 2 Why do most objects tend to contain nearly equal numbers of positive and negative charges 182

When the term quantized is used to refer to a charge it means all charges are multiples of an electrons charge all charges are multiples of a protons charge that the maximum value of a charge is 1 602x10 1 that the minimum value of a charge is 1 602x10 1

What is the magnitude and direction of the force applied to a 8 36 C charge placed in a 8050N C electric field pointed to the right 0 0673N left 9 63x108N right 9 63x10 N left

What is the change in electric potential energy if a 5 34x104C charge is moved 0 482m opposite to the direction of a 9740N C field 2 51J 2 51J 10 8J

touching a charged object to an uncharged object so they both end up with a charge bringing a charged object near an uncharged object and then grounding so the uncharged object now has a charge rubbing two objects so that one gains electrons and one loses bringing a charged object near an uncharged object and having electrons shift so they are attracted to each other

4 What is the force on the 2 0 uC charge placed at the center of the square shown below left 5 0 C 4 0 C 2 0 C 1 0 m 4 0 C 1 0 m 2 0 C 1 0 m YA 3Q 30 3 0 m 2Q

2 What is the attractive force between two pith balls that are 12 cm apart and have charges of 5 C and 10 C

6 A light bulb has a resistance of 240 ohms when operating at 120 V What is the current in the light bulb 0 50 A 1 0 A 0 20 A

25 An object that is negatively charged has gained electrons lost electrons lost neutrons

What charge experiences an electric force of 0 280 in an electric field of 2 47N C to 4 decimal places

852 3052 A 1502 B 1002 C 1202 5052

0 6ko i ww 0 5kQ 0 2kQ iz 4kQ 15V 1kQ 3kQ i3 25V 1 5kQ F E D In the circuit shown above the arrows indicate the direction each current is assumed to be going in The three currents are found to be i 0 509 mA i 3 92 mA and i3 4 43 mA What is the change in voltage going from Point B to Point E which point is at the higher potential

Pictured on the right we have two charges located relative to the origin as shown Charge A has a value of 14 3 C and it is located on the y axis a distance 2 30 m above the origin While Charge B has a value of 28 7 C and it is located on the y axis a distance 1 80 m below the origin What is the magnitude and direction of the electric field at the origin due to the presence of these two charges Select one O a O b O C O d 5 53 x 104 Ny 1 04 x 105 Ny 1 04 x 105 N Fy 5 53 x 104 N y 0 m 2 3 m Q QA 14 3 C 0 m 0 m 0 m 1 8 m QB 28 7 C

The group of arrows in the figure below represents electric field lines What is the direction if any of the force on the particle due to the electric field if the particle is initially at rest and has a net negative charge right left there is no force due to the field there is not enough information to answer none of the above

INMOTION gpb org physics motion Date Practice Problems Work each of the following problems SHOW ALL WORK 1 A lightning bolt transfers 22 C of charge to the earth How many electrons are transferred from this one bolt The earth is struck by an average of 100 lightning bolts each second How many electrons pour into the earth poh cecond from lightning gpb org Work each of the fo 4 One point charge ha of 1 1 x 10 17 C Wha

What is the potential difference between two points if moving a 3 00C charge between those points results in an increase in potential energy of 9 00 12 0V 6 00V 3 00V 03331

2 Explain in detail how varying the charge affects the motion in a constant electric field X

5 The Electric Field Lines are a Symmetric b Not symmetric jayd c Linear d No linear 6 Electric Potential due to a point charge is a Inversely proportional to the charge q b Directly proportional to the point charge c Absolutely not related d None of the above 7 The capacitance of a parallel plates capacitor is a Directly proportional to the surface area of the Plate ori 199192 b Inversely proportional to the surface area of the Plate c Equal to the total energy of the capacitor d All the above 8 Thermodynamics is a A part of physics that force the air to move around the planet b A part of physics that studies the heat flow between systems c A gravitational force d All the above 9 The thermometer is a a Device used to measure a mass of an object b Device used for measuring a potential difference rogor Device used to measure the temperature of an object d Device used for measuring thermal work 10 Two objects are in thermal contact if ostime bazol aj Fishball a They touch each other b They can move toward each other Energy can be exchanged between them d Their energies are the same 11 Two objects are in thermal equilibrium if a They are in the same location b They are in thermal contact and there is no net exchange of energy c They collide and move in the same direction

I Select the best answer for each of the following questions 1 Atom is made of a Electrons and Nucleus b Protons and Neutrons c A Cloud of mixed positive and negative charges d None of the above 2 A conductor is a material through which free electrons a Can move in response to an electric force applied to it b Cannot move at all c Barely move d Are always entangled 3 An Electrostatic Force F is always Iacoils Ayoda a Inversely proportional the square of the charges b Proportional to the square of the distance between the electric charges c Inversely proportional to the square of the distance r between th charges d A positive vector quantity 4 Gauss s Law states that the total Electric Flux through a closed surfa is equal to a The total net electric charge inside the surface divided by Eo b The total net force divided by 0 c The set of the field lines inside the surface d Zero

he change in electric potential energy is equal to the force applied to a charge equal to the charge times the distance it is moved equal to the force applied on a charge times the distance it is moved in an electric field is equal to the charge times the electric field

Two plates have a uniform electric field of 2 50N C and a potential difference of 4 00V What is the distance between the plates 1 60m 0 625m 1 50m 10 0m

ow far must a 8 31x10 4C charge be moved in a 7340N C electric field to store 9 46J 0 645m in the direction of the field 1 55m in the direction of the field 0 645m opposite to the direction of the field 1 55m opposite to the direction of the field

1 Does the electric force increase or decrease as objects move closer together

PHYSICS Unit 5 INMOTION gpb org physics motion Statio Pract Work each of the following proble 7 A metal ball with a charge of 8 nC co force does the second metal ball exer

What is the electric potential at the point indicated with the dot in the figure Express your answer to two significant figures and include the appropriat units 3 0 cm 2 0 nC 1 0 nC 3 0 cm 3 0 cm 2 0 nC

Electric Potential of a point charge The electric Potential due to a point charge is given by the following formula 1 9 14 4 EO 1 V ke 9 I The Potential energy related to the potential due to a point charge is given by the following formula PE U q V ke 15 Problem 10 In an atom smashers also known as cyclotrons and linear accelerators charged particles are accelerated in much the same way they accelerated in TV tubes through potential 919 1 1 919 4 EO T 106 m S difference Supposed that a proton is injected at a speed of 1 00 X between two plates 5 00 cm apart The proton subsequently accelerates across th gap and exits through the opening A What must the electric potential difference be if the exit speed is to be 3 00 X 106 m s B What is the magnitude of the electric field between the plates assuming that it

What creates a greater magnitude of force two charges q a distance r apart or two charges q the same distance apart OA Two charges q a distance r away B Two charges q a distance r away OC The magnitudes of forces are equal A neutral hydrogen atom has one proton and one electron If you remove the electron what will be the leftover sign of the charge O A negative B positive C zero O D neutral

Consider the figure below which shows a negative charge and a point marked with an x Which o the following is are correct Choose all that are correct X The potential is negative at the location marked x The potential is positive at the location marked x The potential is to the left at the location marked with x The potential is to right at the location marked with x None of these is correct

Consider the two charges shown below One is positive and one is negative If the charges are moved from the separation shown to positions where the two charges are farther apart which of the following statements is are true about the electric potential energy of the two charge system Choose all that are correct O The potential energy is negative The potential energy is positive The potential energy increases when the separation increases The potential energy decreases when the separation increases There is not enough information to say for sure

In the following circuit Vsource = 12 V and V1 V2. What is V3? a 6.0 V b 12.0 V c 4.0 V d 3.0 V

What is the magnitude of the force between a charge of -7.5 x 10 C and a charge of 7.8 x 10 C that are separated by 2.0 meters? Is it attractive or repulsive?

A 3.00-cm-diameter parallel-plate capacitor with a spacing of 0.900 mm is charged to 300 V. Part A What is the total energy stored in the electric field? Express your answer with the appropriate units. Uc= Part B What is the energy density? Express your answer with the appropriate units.?

A positive test charge is brought near a positively charged ball. Describe what happens to the electric force, electric field, electric potential energy, and electric potential difference as the test charge is brought near.

Charged spheres X and Y are in a set position and have charges +2.4 × 10^-6 C and +4.5 x 10^-7 C respectively. Calculate the net force on sphere Z, of charge -3.8 x 10^-7 C[T/I-4]

A uniform electric field is established on two plates that are 0.0300m apart. If the electric field is 1.25N/C what is the potential difference between the two plates? 0.0240V 26.7V 41.7V 0.0375V

How far must a-8.31x10 4C charge be moved in a 7340N/C electric field to store 9.46J? 0.645m in the direction of the field 1.55m in the direction of the field 0.645m opposite to the direction of the field 1.55m opposite to the direction of the field

What is the magnitude and direction of an electric field if a force of 23.8N is applied on a 4.89x102C directed away from the charge producing the field? 2.05x103 away from the charge 487N/C toward the charge 487N/C away from the charge 2.05x10 ³N/C toward the charge

A uniform electric field is directed upward and has a magnitude of 1750 N/C. What are the magnitude and direction of the force on a (negative) electric charge of – 0.103 C placed in this field? A. Force= - 180.25 N oriented downward; B. Force = + 180.25 N oriented downward; C. Force = 16990 N oriented upward; D. Force = - 16990 N oriented downward.

A uniform electric field has a magnitude of 1090 N/C and is directed upward. A charge brought into the field experiences a force of 705 N downward. The charge must be A. +1.546 C B. -0.646 C C. +0.646 C D. -5 C E. None of the above