Electric Field and Potential Questions and Answers

podies law states that the electrical force decreases inversely as the square of the distance between charged 10945863

A device that can detect the presence of charge is an

Discussion The following questions are conceptual and may require you to explain your answers 1 Describe how two charges interact in terms of electric field IE how do charges sense each other

A random battery gives a current of 0 5 A with a charge of 200 C How much time will the battery last

A charge of 0 005 C with a potential energy of 2 5 J has a voltage of

A charged ball hangs in equilibrium from a silk thread of length which makes an angle 8 with a large charged non conducting sheet as shown in figure The surface charge density of the sheet is o The angle 0 made by the string as shown in equilibrium position is given as tan 8 tan 8 tan 8 tan e m q qo 2 omg 28 mg qo omg qo qo ma

Four point charges each with charges q are placed at the four corners of a square of edge length and a charge is at centre of the square Force on the charge at the centre due to other charges is O q 4 01 29 4 E01 Zero

10 Gordon the night custodian dusts off a classroom globe with a feather duster causing the globe to acquire a charge of 6 0 x 109 C What is the magnitude and direction of the electric field at a point 0 45 m from the center of the charged globe

5 Mrs Jones is photocopying lab sheets for her physics class A particle of toner carrying a charge of 4 0 x 10 C in the copying machine experiences an electric force of 1 2 x 10 6 N as it s pulled toward the paper What is the electric field acting on the toner particle

8 Ink jet printers spray charged drops of ink onto paper An electric field in the printer head produces a force on the ink drops a Find the electric field strength that produces a force of 2 8 x 104 N on a drop having a charge of 1 6 x 10 0 C b If the electric field were increased in strength by 10 by what factor would the force on the charged drops increase

A negative charge of 1 6 x 106 exerts an attractive force of 85 N on a second charge which is 0 09 m away What is the second charge Fed Use the equation 92 Kq O 5 3 x 104 C 4 8 x 105 C O 1 2 x 10 16 C 4 8 x 105 C

1C is the amount of charge that passes through a common lightbulb in about one

The electrical proportionality constant is approximately Nm C2

If two charges of 2 2 C and 6 1 C are brought to within 0 2m of each other what electric force is felt between them

If two charges of 91 C and 3 4 C are brought to within 0 45m of each other what electric force is felt between them

arging by her occurs when objects touch and an electric charge is transferred from one object to the

You are investigating the charge on several objects and makes the following findings Object C attracts B repels F a Object C must be b Object D must be c Object E must be Object D d Object F must be repels C Object E You know that object A is negatively charged and object B is electrically neutral What can you definitively conclude about the charge on objects C D E and F Enter one of the following words or phrases positive negative positive or negative attracts D Object F attracts A

The diagram shows a negatively charged oil drop that is suspended motionless between two oppositely charged parallel horizontal metal plates The electric field strength between the charged plates is 4 0 x 10 newtons per coulomb The 1 96 x 10 15 kilogram oil drop is being acted upon by a gravitational force F and an electrical force F Fo Oil drop Fg 56 67 Calculate the magnitude of the gravitational force F acting on the oil drop Show all work including the equation and substitution with units 2 68 Determine the magnitude of the upward electrical force F acting on the oil drop suspende motionless between the charged metal plates 1 9 70 Calculate the net electric charge on the oil drop in coulombs Show all work including the equati and substitution with units 2

1 Three identical point charges A B and C are located as shown on the diagram A exerts force F on B An equal force F is exerted by C on B Z ABC 90 What is the net force on B COBJ 7 2 B N

Three conducting spheres are electrically charged Sphere X is attracted to a negative Van De Graaff generator Sphere Y is repelled by Sphere X Sphere Z is attracted to Sphere Y What is the charge of Sphere Z AKS 7a Positive Negative Neutral Cannot be determined

13 A 12 V battery is connected between a hollow metal sphere with a radius of 1 m and a ground as shown in the figure What are the electric field and the electric potential inside the hollow metal sphere

5 Charged spheres X and Y are in a set position and have charges 2 4 x 10 C and 4 5 x 10 C respectively Calculate the net force on sphere Z of charge 3 8 x 10 C COBJ 7 2 6 00 cm 10 0 cm

Results The following questions may mathematical and require you to show your work 1 If the electric field intensity at a point is 1 0x105 N C the force on a 2 0x106 C charge will be what 2 What force will a proton experience in a uniform electric field whose strength is 2 00x10 N C 3 A positive charge of 7 0 x 10 C experiences a 5 6 x 10 2N force when placed in a uniform electric field What is the magnitude of the electric field intensity 4 If 1 6x10 2 J of energy is needed to move a charge through a potential difference of 1x10 volts what is the magnitude of the charge 5 Please draw electric field lines for the following situations a Sketch the electric field lines around a 1 0 C charge b C d

1 What is the force between two 10 C charges separated by 10 meters

DETAILS HINT SERCP11 16 1 P 005 7 3 Points A constant electric field accelerates a proton from rest through a distance of 1 75 m to a speed of 1 85 x 105 m s The mass and charge of a proton are mp 9p e 1 60 x 10 19 C a Find the change in the proton s kinetic energy in J b Find the change in the system s electric potential energy in J MY NOTES c Calculate the magnitude of the electric field in N C N C ASK YOUR TEACHER PRACTICE ANOTH 1 67 x 10 27 kg and

31 B Match each item with the correct statement below K U 5 a electric potential d electric potential energy b electric field intensity e kinetic energy c elementary charge 1 Electric force per unit positive charge 2 Energy that increases as the distance between two charges of the same sign increases 3 Energy a charge has when positioned a small distance from another charge of the same sign decreases as the distance between the charges increases 4 Charge on an electron 5 Work necessary to move a positive charge from rest at infinity to rest at a point C Match each item with the correct statement below K U 61 10 kg a coulomb b ampere C 4xx 1077 T m A d 9 1 e F f B 1 Newton meter 2 Ampere second 3 mass of an electron 4 magnetic force 5 permeability of free space 6 magnetic field strength 40

2 Two charged spheres are 2 00 cm apart One sphere has a charge of 3 70 x 10 C and the other sphere has a charge of 3 60 x 102 C Assuming 9 00 x 10 N m C what is the electric force between the two spheres COBJ 7 2 3 Two charged spheres are 2 00 m apart One sphere has a charge of 5 70 x 10 C and the other sphere has a charge of 1 60 x 10 C Assuming k 9 00 x 10 N m C what is the electric force between the two spheres COBJ 7 2

A charged particle is located in an electric field where the magnitude of the electric field strength is 2 0 x 10 newtons per coulomb If the magnitude of the electrostatic force exerted on the particle is 3 0 x 10 newtons what is the charge of the particle B 6 0 C D 6 7 x 10 C A 1 6 x 10 9 C C 1 5 x 10 5C

Which diagram best represents the electric field between two oppositely charged objects A D

Two charges are separated by a certain distance If the magnitude of each charge and the distance are both doubled the force on each charge is A the same B half c doubled D tripled

1 Suppose that two point charges each with a charge of 1 Coulomb are separated by a distanc 1 meter a Will they attract or repel Repel b Determine the magnitude of the electrical force between them

Two charges each with Like charges of 500 C each are separated by 1 km distance in space What is the electrostatic force

5 Three charges 0 01 C each are on the x axis at 0 00m 2 00 m and 5 00 m What are the magnitude and direction of the net force on the charge in the middle at 2 00 m 10 pts 0m 2 m 5 m

4 Use the following diagrams 5 pts A B a Which electric field represents a positive charge b Which electric field is strongest

3 What is the magnitude and direction of an electric field that exerts a 060 N upward force on a 30 00 mC charge 8 pts

Calculate the net force on particle q1 Finally add the forces together to find the total force acting on 91 Be sure to include a or sign to indicate the direction of the force F 14 4 N 13 0 C 91 0 25 m F N 7 70 C 92 F 2 28 N 0 30 m 5 90 C 93

8 Transformers are used to O Change the direction of current in generators O increase or decrease voltage O increase or decrease resistance O change the direction of rotation in electric motor

2 Consider three point charges located at the corners of an equilateral triangle as shown in the figure where q1 q2 q3 6 00 microC and a 0 100 m Find the magnitude and direction of the resultant force on q2 ANSWER 92 3 Calculate the current everywhere region r 3a 9 92 T NI

A circular annulus like a disk with a hole in the center with inner radius a and outer radius b is centered at the origin in the xy plane The annulus is filled with a uniform charge density o charge area Determine the electric field along the z axis Use k 4 Select the correct answer O E 2nokz 2 3 O E 2 okz 2 1 b 2 1 2 nokz b 2 O E 2nokz 3 2 1 a z 2a 2b OF Image size s ML Max

1 point 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

E F qE k 9 0x10 10 9 8 7 6 Q Q Nm C O 1 Q 5 m milli 109 u micro 10 n nano 109 2 Find the magnitude of the electric field at the origin due to Q A charge Q 15 nC is located at a point X 5 0 m a charge Q 4 0 nC is located at a point X 2 0 m and a charge Q 8 0 nC is located at a point X 2 0 m 1 Draw the direction of each electric field at the origin due to Q Q2 and Qa 3 Find the magnitude of the electric field at the origin due to Q2 78 9 10 4 Find the magnitude of the electric field at the origin due to Q3

3 Two identical charges are placed 2 meters apart and have a force that is repulsive and equal to 1000 N What is the charge for each charge

2 A coil of current carrying wire forms a n O semi conductor O solenoid O resistor O electric circuit

a uniform surface charge density 40 The second shell has a radius 2a and a surface charge density The three concentric nonconducting thin spherical shells of charge The inner shell has a radius of a and outer shell has a radius of 3a and a surface charge density of 0 a Use Gauss law to obtain an expression for the magnitude of the electric field in the region r a ANSWER b Use Gauss Law to obtain an expression for the magnitude of the electric field in the region a r 2a ANSWER c Use Gauss law to obtain an expression for the magnitude of the electric field in the region 2a r 3a ANSWER d Use Gauss law to obtain an expression for the magnitude of the electric field in the region r 3a ANSWER 2 Consider three point

Problem 2 Imagine a rod with length TR and uniformly distributed charge bent into a semi circle of radius R What is the direction and magnitude of the electric field E produced by this object at the point that is precisely at the center of the semi circle Show your work

A 2 mC and 10 mC charge are separated If the force between them is 12 444 then what is the distance between them

2 There are two equally charged bb sized spheres of 4x10 6 C each With one being negative and the other positive and are a distance of 1 2 meters from each other What is the Coulomb force between the charged spheres 2 4 100 a b Is the Coulomb force attractive or repulsive C How close would you have to move the spheres together to double the force from the original i e what distance between

Gauss s law and Electric Potential 17 A nonconducting spherical shell of inner radius a and outer radius b has within its thickness a positive volume charge density p M r where M is a constant and r is the distance from the center of the shell In addition a small ball of charge q is located at that center a 9 Using Gauss s law find the electric field in the shell I a r b b 5 Find the potential difference between the inner radius a and the outer radius b of the spherical shell c 3 What value should M have if the electric field in the shell is to be uniform 9 b

Two identical positive charges are placed 3 00 m apart and experience a force between them of 7 50x10 2 N a What is the magnitude of each of the charges b What is the magnitude and direction of the electric field on the right side charge

12 Use Gauss Law to derive an expression for the electric field inside and outside a hollow conducting shell The shell has charge Q You must show all work