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A charge q of 7.3 × 1015 coulomb moves from point A to point B in an electric field. If the potential energy of the charge at point A is 3.5 × 10-12 joules and that at point B is 1.3 × 10-12 joules, what is the potential difference between point A and B?

Respuesta :

Answer:

Potential difference between A and B is [tex]\Delta V = -3.01\times 10^{-28}\ volts[/tex]

Explanation:

It is given that,

Charge, [tex]q=7.3\times 10^{15}\ C[/tex]

The charge moves from point A to B is an electric field.

Potential energy at A, [tex]V_A=3.5\times 10^{-12}\ J[/tex]    

Potential energy at B, [tex]V_B=1.3\times 10^{-12}\ J[/tex]    

We have to find potential difference between A and B. The relationship between potential energy and potential difference is given by :

[tex]\Delta U=q\Delta V[/tex]

Where

[tex]\Delta U[/tex] is change in potential energy between A and B

[tex]\Delta V[/tex] is change in potential difference between A and B

[tex]\Delta V =\dfrac{\Delta U}{q}[/tex]

[tex]\Delta V=\dfrac{1.3\times 10^{-12}\ J-3.5\times 10^{-12}\ J}{7.3\times 10^{15}\ C}[/tex]    

[tex]\Delta V = -3.01\times 10^{-28}\ volts[/tex]

Hence, this is the required solution.      

Answer:

The potential difference between point A and B is [tex]\Delta V=-3.01\times 10^{-28}\ volts[/tex].

Explanation:

Given that,

Charge, [tex]q=7.3\times 10^{15}\ C[/tex]

Potential energy at point A, [tex]U_A=3.5\times 10^{-12}\ J[/tex]

Potential energy at point B, [tex]U_B=1.3\times 10^{-12}\ J[/tex]

To find,

The potential difference between point A and B or [tex]\Delta V[/tex]

Solve,

We know that the relationship between the potential difference and the potential energy is given by :

[tex]\Delta U=q\times \Delta V[/tex]

Where

[tex]\Delta U[/tex] is the difference in potential energy between A and B

[tex]\Delta V[/tex] is the potential difference between point A and B

[tex]\Delta V=\dfrac{U_B-U_A}{q}[/tex]

[tex]\Delta V=\dfrac{1.3\times 10^{-12}-3.5\times 10^{-12}}{7.3\times 10^{15}}[/tex]

[tex]\Delta V=-3.01\times 10^{-28}\ volts[/tex]

Therefore, the potential difference between point A and B is [tex]-3.01\times 10^{-28}\ volts[/tex].