a point charge of 10mC is placed at origin the value of electric potential at (3,4)
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here you not mention (3,4) is in meter or cm but I considered it in meter
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Electric potential at (3, 4) is 1.8 × 10^7 volts.
Given : A point of magnitude 10 mC is placed at origin.
To find : The value of electric potential at (3, 4).
solution : The point charge is placed at origin and we have to find the electric potential at (3, 4).
so seperation between (0,0) to (3, 4) , r = √{(3 - 0)² + (4 - 0)²} = 5 m
using formula, V = kq/r
here q = 10 mC = 10 × 10¯³ C = 0.01 C , r = 5 m
so, Electric potential = (9 × 10^9 × 0.01)/(5)
= 1.8 × 10^7 volts
Therefore electric potential at (3, 4) is 1.8 × 10^7 volts.
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