The document defines key terms related to electrical potential such as potential energy, potential gradient, coulomb, volt, and equipotential surfaces. It explains that electrical potential is dependent on the electric charge and distance from the charge source. The potential energy per unit charge is called electric potential. Equipotential surfaces have the same electric potential at every point. Formulas are provided for calculating electric potential, potential energy, and work done on a charge moving between equipotential planes. Sample problems demonstrate applying the concepts and formulas.
The document defines key terms related to electrical potential such as potential energy, potential gradient, coulomb, volt, and equipotential surfaces. It explains that electrical potential is dependent on the electric charge and distance from the charge source. The potential energy per unit charge is called electric potential. Equipotential surfaces have the same electric potential at every point. Formulas are provided for calculating electric potential, potential energy, and work done on a charge moving between equipotential planes. Sample problems demonstrate applying the concepts and formulas.
The document defines key terms related to electrical potential such as potential energy, potential gradient, coulomb, volt, and equipotential surfaces. It explains that electrical potential is dependent on the electric charge and distance from the charge source. The potential energy per unit charge is called electric potential. Equipotential surfaces have the same electric potential at every point. Formulas are provided for calculating electric potential, potential energy, and work done on a charge moving between equipotential planes. Sample problems demonstrate applying the concepts and formulas.
The document defines key terms related to electrical potential such as potential energy, potential gradient, coulomb, volt, and equipotential surfaces. It explains that electrical potential is dependent on the electric charge and distance from the charge source. The potential energy per unit charge is called electric potential. Equipotential surfaces have the same electric potential at every point. Formulas are provided for calculating electric potential, potential energy, and work done on a charge moving between equipotential planes. Sample problems demonstrate applying the concepts and formulas.
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Electrical Potential
DEFINITION OF TERMS
Electric Potential Energy
Potential gradient The total potential energy a unit charge will possess if located at any point in the outer the integration of negative of electric field space. intensity with respect to the distance. It is a scalar quantity. The relation between electric field intensity Possesses only magnitude and no direction. and potential gradient is E = - d V d r It is measured in terms of Joules and is Coulomb denoted by V. Dependent upon the charge of the object the SI unit of electric charge experiencing the electric field. equal to the quantity of electricity conveyed in There are two key elements on which the one second by a current of one ampere. electric potential energy of an object depends: 1) Electric charge - a property of the object Volt experiencing the electrical field, and the unit of electric potential difference 2) Distance from source - the location within or the size of the force that sends the the electric field electrons through a circuit. Electric Potential
Purely location dependent. FORMULAS
The potential energy per charge. Electric V = electric potential energy Equipotential surface Potential q = point charge r = distance between any point Any surface having the same electric potential V = k × [q/r] around the charge to the point at every point. charge Equipotential points- If the points present in an k = Coulomb constant; k = 9.0 × electric field are all at similar electric 109 N potential. Electric Equipotential line- If these points are Potential U = elastic potential energy connected by a curve or a line. Energy q1 and q2 = point charge Equipotential Surface- When such points lie on r = distance of separation a surface. U = k x k = Coulomb constant; Equipotential volume- if these points are q1q2/r k = 9.0 × 109N distributed throughout either a volume or space. Equipotential W = Work Potential Gradient Surface q = point charge ∆V= Va - Vb the local rate of change of the potential with W = -q∆V respect to displacement
Electric fields
the physical field that surrounds electrically
charged particles and exerts force on all other charged particles in the field, either attracting or repelling them SAMPLE PROBLEMS
1. Two point charges are separated by a distance of
10cm. Charge on point A=+9 and charge on point B= -4 . . What is the change in electric potential energy of charge on point B is accelerated to point A?
3. Two charges of magnitude 2 nC and 3 nC are placed
Given: at 2cm from each other. Calculate the electric potential energy between these 2 charges.
Find: The change in electrical potential energy
Solution:
2. A positive particle of charge 1.0C accelerates in a
uniform electric field of 100V/m. the particle started from rest on an equipotential plane of 50V. After t=0.0002 seconds, and the particle is on an equipotential plane of V=10V. determine the distance travelled by the particle.