Gravitational Potential Energy Gravitational Potential B Fg = mg Gravitational Potential A The particle with a given mass will have more G.P.E at pt B than at pt A. ground

Gravitational Potential Energy ground

Gravitational Potential Energy The particle will have _____potential energy at point B than at A ground B A

Gravitational Potential Energy The particle will have more potential energy at point B than at A ground B A

Gravitational Potential Energy Work must be done ___the particle to move it from point A to B. ground B A

Gravitational Potential Energy Work must be done on the particle to move it from point A to B. ground B A

Gravitational Potential Energy That work =___ ____ = ____ ____ ___ ground B A

Gravitational Potential Energy That work =F d = m g d ground B A

Electical Potential Energy Electrical Potential B F E = qE Electrical Potential A The charged particle has ______electrical potential energy at point B than at point A.

Electical Potential Energy Electrical Potential B Electrical Potential A The charged particle has more electrical potential energy at point B than at point A.

Electical Potential Energy Electrical Potential B Electrical Potential A Work must be done ___ the charged particle to move it from A to B.

Electical Potential Energy Electrical Potential B Electrical Potential A Work must be done ON the charged particle to move it from A to B.

Electical Potential Energy Electrical Potential B Electrical Potential A Work = ___ ___

Electical Potential Energy Electrical Potential B Electrical Potential A Work = F d =

Electical Potential Energy Electrical Potential B Electrical Potential A Work = F d = ___ ___ ___ because F =

Electical Potential Energy Electrical Potential B Electrical Potential A Work = F d = q E d because E = F / q

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Electrical Potential The electrical potential is defined as the amount of electrical potential energy per unit of charge associated with a test particle in an environment containing charged particles. The definition is based on a positive test charge particle whose charge approaches zero. Electrical Potential associated with a point in space equals the Electrical Potential energy divided by the charge. Electrical Potential = Electrical Potential Energy Charge Units: Joules which is called a Volt C Electrical Potential is commonly known as Potential

Potential Difference Uniform Electrical Field q + -

Potential Difference The change in potential is defined as the Difference in potential between points B and A. V = V A – V B The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. V = W ( A -> B) q

Potential Difference The change in potential is defined as the Difference in potential between points B and A. V = V A – V B The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. V = W ( A -> B) q

Potential Difference The change in potential is defined as the Difference in potential between points B and A. V = V A – V B The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. V = W ( A -> B) q

Potential Difference The change in potential is defined as the Difference in potential between points B and A. V = V A – V B The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. V = W ( A -> B) q

Potential Difference The change in potential is defined as the Difference in potential between points B and A. V = V A – V B The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. V = W ( A -> B) q

Potential Difference The change in potential is defined as the Difference in potential between points B and A. V = V A – V B The change in potential is equal to the work done in moving a unit positive test particle from A to B without acceleration. V = W ( A -> B) q

Potential Difference Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. Work done against an electrical field increases the amount of potential energy of that particle. The work done on a charge in moving it from point A to B is independent of the path taken.

Potential Difference Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. Work done against an electrical field increases the amount of potential energy of that particle. The work done on a charge in moving it from point A to B is independent of the path taken.

Potential Difference Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. Work done against an electrical field increases the amount of potential energy of that particle. The work done on a charge in moving it from point A to B is independent of the path taken.

Potential Difference Only differences in potential are important because there is NO absolute point in space with zero electrical potential. It is a relative quantity just as gravitational potential is. What is important is the change in potential. Work done against an electrical field increases the amount of potential energy of that particle. The work done on a charge in moving it from point A to B is independent of the path taken.

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter

Potential Difference V = W q Work = Force x Distance Electrical Force = ____ x ____ Work = q E d V = q E d q V = E d V = E therefore Electrical field units can be Volt d meter