Videos > Potential due to a System of Charges
Potential due to a System of Charges Video Lecture
FAQs on Potential due to a System of Charges Video Lecture
| 1. How do I calculate the potential due to a system of charges? |  |
Ans. To calculate the potential due to a system of charges, you need to follow these steps:
1. Determine the distances between each charge and the point where you want to calculate the potential.
2. Calculate the potential due to each individual charge using the formula V = k * q / r, where V is the potential, k is the electrostatic constant, q is the charge, and r is the distance.
3. Sum up the potentials from all the charges to obtain the total potential due to the system.
| 2. Can the potential due to a system of charges be negative? | |
Ans. Yes, the potential due to a system of charges can be negative. The potential depends on the sign of the charges and the distances between them. If the charges are of opposite signs and relatively close to each other, the potential can be negative. This indicates that work would need to be done to bring a positive test charge from infinity to that point.
| 3. What is the difference between electric potential and electric potential energy? | |
Ans. Electric potential is a scalar quantity that represents the electric potential energy per unit charge at a given point in an electric field. It is measured in volts (V). On the other hand, electric potential energy is the energy that a charged object possesses due to its position in an electric field. It is measured in joules (J). The electric potential energy of a charge depends on both its own charge and the electric potential at its location.
| 4. How does the potential due to a system of charges change with distance? | |
Ans. The potential due to a system of charges follows an inverse relationship with distance. As you move farther away from the charges, the potential decreases. This is because the electric field strength weakens with distance. According to the inverse square law, the potential decreases by a factor of the square of the distance. Therefore, the potential becomes smaller as you move away from the charges.
| 5. Is the potential due to a system of charges constant throughout space? | |
Ans. No, the potential due to a system of charges is not constant throughout space. It varies depending on the distribution and magnitude of charges in the system. The potential is highest near positive charges and lowest near negative charges. Additionally, the potential can change at different points within the system depending on the distances and arrangement of charges. It is essential to consider the specific configuration of charges to accurately determine the potential at different locations.
Text Transcript from Video
hello friends this video on
electrostatic potential part 9 is
brought to you by exam fuel calm no more
fear from exam please make sure that you
have watched all the video still part 8
before going ahead with part 9 let us
look at the potential at a point due to
a system of charges there we saw it was
due to a single point charge now we will
see what will happen if there are
several charges in a system so what
would be the potential at a point
because of so many charges so let us
suppose we have a particular challenge
say Q 1 so let us suppose we have a
system of charges as you can see here
there are multiple charges right so let
us suppose we have some point let us say
this Q 1 I am sorry this is by mistake
it is written as q 1 let us say this is
a point O this is not a charge right
this is a point O and these are the
various charges which are located here
so you have to calculate the potential
at this point o at this point you have
to calculate the put value of potential
that is the net potential at this point
due to so many charges due to a system
of charges so let us suppose the
position vectors of each of these points
is given by ad 1 R 2 R 3 R 4 so these
all denotes the position vectors of each
of these points right so what happens to
the potential at point O so potential at
point O due to the charge Q 2 becomes
what it is similar to the potential due
to a point charge so this becomes K 2 by
ad so Q is Q 2 here so it is K Q 2 by r
2 right this is odd till this is at 3
this is a whole and this is our five
okay so this becomes similarly potential
at point O due to the charge Q 3 if
comes k23 divided by r3
similarly potential due to charge for it
becomes KQ 4 divided by r4 and so on so
what do we see what is the net potential
at point O so the net potential would be
the sum of these potentials because here
there is no vector addition there is no
concept of direction at all because
potential is not a vector quantity
so only magnitude matters so whenever
you have to calculate the total
potential at some point it will be the
algebraic sum of all the potential at
that point due to the different charges
so the net potential will be equal to
potential due to less potential due to 3
plus potential due to 4 plus potential
you will fight so in short or in general
we can say that net potential due to a
system of charges is the summation of
the potential due to individual charges
that is summation of KQ I divided by RI
where I is anything from 1 to n so
whenever you have multiple charges
forming a system then the potential due
to the multiple charges is equal to the
sum of the potential due to each
individual charge so that is how you
calculate the potential thank you please
visit exam few dot form to watch free
educational videos try free online tests
get the best quality study materials
study from the best tutors and mentors
and much more thank you once again
electrostatic potential part 9 is
brought to you by exam fuel calm no more
fear from exam please make sure that you
have watched all the video still part 8
before going ahead with part 9 let us
look at the potential at a point due to
a system of charges there we saw it was
due to a single point charge now we will
see what will happen if there are
several charges in a system so what
would be the potential at a point
because of so many charges so let us
suppose we have a particular challenge
say Q 1 so let us suppose we have a
system of charges as you can see here
there are multiple charges right so let
us suppose we have some point let us say
this Q 1 I am sorry this is by mistake
it is written as q 1 let us say this is
a point O this is not a charge right
this is a point O and these are the
various charges which are located here
so you have to calculate the potential
at this point o at this point you have
to calculate the put value of potential
that is the net potential at this point
due to so many charges due to a system
of charges so let us suppose the
position vectors of each of these points
is given by ad 1 R 2 R 3 R 4 so these
all denotes the position vectors of each
of these points right so what happens to
the potential at point O so potential at
point O due to the charge Q 2 becomes
what it is similar to the potential due
to a point charge so this becomes K 2 by
ad so Q is Q 2 here so it is K Q 2 by r
2 right this is odd till this is at 3
this is a whole and this is our five
okay so this becomes similarly potential
at point O due to the charge Q 3 if
comes k23 divided by r3
similarly potential due to charge for it
becomes KQ 4 divided by r4 and so on so
what do we see what is the net potential
at point O so the net potential would be
the sum of these potentials because here
there is no vector addition there is no
concept of direction at all because
potential is not a vector quantity
so only magnitude matters so whenever
you have to calculate the total
potential at some point it will be the
algebraic sum of all the potential at
that point due to the different charges
so the net potential will be equal to
potential due to less potential due to 3
plus potential due to 4 plus potential
you will fight so in short or in general
we can say that net potential due to a
system of charges is the summation of
the potential due to individual charges
that is summation of KQ I divided by RI
where I is anything from 1 to n so
whenever you have multiple charges
forming a system then the potential due
to the multiple charges is equal to the
sum of the potential due to each
individual charge so that is how you
calculate the potential thank you please
visit exam few dot form to watch free
educational videos try free online tests
get the best quality study materials
study from the best tutors and mentors
and much more thank you once again
About this Video
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Dec 23, 2024 Last updated |
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