Electric field and work done

[jinx007]

A charge of 3C is moved from infinity to a point X in an electric field. The work done in this process is 15 J. T electric potential energy at X is

A 45 V

B 22.5 V

C 15 V

D 5 V

E 0.2 V

ANSWER: D

Please,help me to answer the question this question i am confuse about the equation.

should i use electric potential = Q/4 (Pie) X r^2
And which equation is related to which..i am confused..!

 

[graphene]

The answer options seem to just be the 'electric potential' and not 'electric potential energy'.

The question specifies, charge,q and work done,W(or energy) and is asking you for the potential,V at that point
Have you come across expressions relating q,V and W?

 

[jinx007]

The answer options seem to just be the 'electric potential' and not 'electric potential energy'.

The question specifies, charge,q and work done,W(or energy) and is asking you for the potential,V at that point
Have you come across expressions relating q,V and W?

Yeahhh v=w/Q 15/3 5V

lolzz seem easy..but what intricate me is that when to use the equation q Q k /r^2 and the other equation..

 

[utkarsh009]

Yeahhh v=w/Q 15/3 5V

lolzz seem easy..but what intricate me is that when to use the equation q Q k /r^2 and the other equation..

well i have a suggestion for you. first, read the question carefully and note down all the bits of information. like in the above case: work done and charge. then think of an equation relating the information and the question. this will help a lot.

 

[rwisz]

First of all, as a scientist, it is important to clarify the question and provide the necessary information for a clear and accurate response. The question is asking for the electric potential energy at point X, but the given information does not include the distance or radius from the charge at infinity to point X. Therefore, it is not possible to calculate the electric potential energy using the equation provided (electric potential = Q/4πε0r).

To answer the question, we need to understand the relationship between electric potential energy and work done. Electric potential energy is the energy a charge possesses due to its position in an electric field, while work done is the energy required to move a charge from one point to another in an electric field.

The formula for work done in an electric field is W = qΔV, where q is the charge and ΔV is the change in electric potential. In this case, we are given the work done (W = 15 J) and the charge (q = 3 C), so we can rearrange the formula to find the change in electric potential (ΔV = W/q).

Substituting the values, we get ΔV = 15 J / 3 C = 5 V. This means that the electric potential at point X is 5 V higher than at infinity. Therefore, the correct answer is option D, 5 V.

In summary, to answer this question, we need to understand the relationship between electric potential energy and work done, and use the formula W = qΔV to find the change in electric potential. It is important to provide all necessary information and use the correct equations to arrive at an accurate answer.