1. A charge of +4e is located at the origin. A charge of -10e is located at the
ID: 1568141 • Letter: 1
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1. A charge of +4e is located at the origin. A charge of -10e is located at the point (12,0). All coordinates are given here in cm. Points A and B are empty and are located along the x-axis, but neither are located between the two charges. The electric field at point A is zero; and (using the usual convention for voltage due to point charges: V = 0), the electric potential (i.e. the voltage) at point B is zero. Find the distance between points A and B.
2. a. The figure at right shows three charges. (i) Find the electric potential at the lower right corner due to the top two charges. (ii) Fnd the electric potential energy of the –5 nC charge in the lower right corner. b. Two identical point charges (q = +1.20 µC) are fixed to diagonally opposite corners of a square. Then, when a third charge is placed at the center of the square, this causes the electric potentials (i.e. the voltages) at the empty corners of the square to change sign without changing magnitude. Find the sign and magnitude of the charge at the center of the square.
1. A charge of +4e is located at the origin. A charge of -10e is located at the point (12,0). All coordinates are given here in cm. Points A and B are empty and are located along the x-axis, but neither are located between the two charges. The electric field at point A is zero: and (using the usual convention for voltage due to point charges: 0), the electric potential (ie. the voltage) at point Bis zero. Find the distance between points A and B.Explanation / Answer
2 (a)
The potential at the lower right cornet is the sum of potentials of the two upper charges
V = V(10) + V(-10)
V = k q/r1 + k q2/r2
r1 = sqrt (3^2 + 5^2) = 5.83 cm
V = 9 x 10^9 x 10 x 10^-9 (1/0.0583 - 1/0.03) = - 1456 V
Hence, V = - 1456 V
U = qV
U = -5 x 10^-9 x -1456 = 7.280 x 10^-6 J
Hence, U = 7.280 x 10^-6 J
b)The magnitude of charge has to be four times of given charge and polarity should be apposite.So
q = -4.8 micro-C
Now the potentials at corner will be same in magnitude and apposite in direction
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