General Physics: 6 . When a point charge of (+q) is placed at corner (A) of a sq

Question

General Physics:

6. When a point charge of (+q) is placed at corner (A) of a square (see figure), the electric potential at the center of the square is found to equal 6.90 × 10-2V. What is the electric potential at the center of the square when a charge (+q) is placed at corner (A), a charge (+q) is placed at corner (B), a charge (-q) is placed at corner (C), and a charge (+q) is placed at corner (D)?

6. When a point charge of (+q) is placed at corner (A) of a square (see figure), the electric potential at the center of the square is found to equal 6.90 x 102 V. What is the electric potential at the center of the square when a charge (+q) is placed at corner (A), a charge (+) is placed at corner (B), a charge (-q) is placed at corner (C), and a charge (+q) is placed at corner (D)? × 1.09761 v

Explanation / Answer

The equation for potential due to point charge is

V = q/r

since magnitude of charge and distance from the center to any corner is same.

Th electric potential due to +q charge placed at corner A at center of the square is

VA = 6.9 * 10^-2 V

Th electric potential due to +q charge placed at corner B at center of the square is

VB= 6.9 * 10^-2 V

Th electric potential due to -q charge placed at corner c at center of the square is

Vc = -6.9 * 10^-2 V

Th electric potential due to +q charge placed at corner D at center of the square is

VD = 6.9 * 10^-2 V

V-total = VA+VB+VC + VD

=  6.9 * 10^-2 V+ 6.9 * 10^-2 V- 6.9 * 10^-2 V+ 6.9 * 10^-2 V

=13.8 * 10^-2 V

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