What is the value of Q so that Electric potential in the square at Point P becomes zero
Answers
Answer:
option b
Explanation:
-q√2
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Concept:
- Electric potential
Given:
- Charges -q, 2q at two corners
- length of the side of each square = a
- Charge at point P = 0
Find:
- Value of Q
Solution:
Electric potential = kq/r
Potential at P due to charge 2q = 2kq/a (r=a)
Potential at P due to charge -q = -kq/a (r=a)
To find the potential at P due to charge Q, we need to find the distance between point P and Q.
Distance between point P and Q = = a√2
Potential at P due to charge Q = kQ/a√2 (r=a√2)
Potential at P due to all charges = sum of the potential of charges due to Q, 2q, -q
Potential at P due to all charges = 0
Potential at P due to all charges = 2kq/a + (-kq/a ) + kQ/a√2
Potential at P due to all charges = kq/a + kQ/a√2
Potential at P due to all charges = √2 kq/a√2 + kQ/a√2
Potential at P due to all charges = (√2 kq + kQ)/a√2
(√2 kq + kQ)/a√2 = 0
√2 q + Q = 0
Q = -√2q
The value of Q is -√2q.
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