Nothing Special   »   [go: up one dir, main page]

Electrical Potential

Download as docx, pdf, or txt
Download as docx, pdf, or txt
You are on page 1of 2

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.

Solution:

You might also like