At what point between two charges of the same name 0.27 μC and 0.17 μC, located at a distance of 20 cm

| August 22, 2021 | education

At what point between two charges of the same name 0.27 μC and 0.17 μC, located at a distance of 20 cm from each other, is the point at which the voltage of electr. margins will be zero?

Task data: q1 (the first charge of the same name) = 0.27 μC = 27 * 10 ^ -8 C; q2 (second like charge) = 0.17 μC = 17 * 10 ^ -8 C; R (distance) = 20 cm.

1) Distance ratio: k * q1 / r1 ^ 2 = E = k * q2 / r2 ^ 2, whence we can express: r1 / r2 = √ (k * q1 / (k * q2)) = √ (q1 / q2) = √ (27 * 10 ^ -8 / (17 * 10 ^ -8)) = 1.26 p.

2) The distance from the first charge of the same name to the point with E = 0 V / m: r1 = R / (1 + 1 / 1.26) = 20 / 1.74 = 11.15 cm.

3) The distance from the second charge of the same name to the point with E = 0 V / m: r1 = R / (1 + 1.26) = 20 / 2.26 = 8.85 cm.

Check: R = r1 + r2 = 11.15 + 8.85 = 20 cm.

Answer: The distances from the point to the charges are 11.15 cm and 8.85 cm.



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