Concept explainers
The two charges in Figure P24.12 are separated by a distance d = 2.00 cm, and Q = +5.00 nC. Find (a) the electric potential at A, (b) the electric potential at B, and (c) the electric potential difference between B and A.
Figure P24.12
(a)
The electric potential at point
Answer to Problem 12P
The electric potential at point
Explanation of Solution
Given Info: Distance between point
The diagram for the given figure having point
Figure (1)
Write the expression to find out electric potential at point
Here,
Formula to calculate electric potential at point
Formula to calculate electric potential at point
Substitute
Write the formula of Pythagoras theorem to calculate diagonal of square.
Substitute
Substitute
Thus, electric potential at point
Conclusion:
Therefore, electric potential at point
(b)
The electric potential at point
Answer to Problem 12P
electric potential at point
Explanation of Solution
Write the expression to find out electric potential at point
Here,
Formula to calculate electric potential at point
Formula to calculate electric potential at point
Substitute
Here,
Substitute
Thus, electric potential at point B is
Conclusion:
Therefore, the electric potential at point B due to charge at point 1 and charge at point 2 is
(c)
The electric potential difference between
Answer to Problem 12P
Potential difference between point
Explanation of Solution
Write the expression to find out electric potential difference between
Here,
Substitute
Hence, electric potential difference between point
Conclusion:
Therefore, electric potential difference between point
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