Coulomb’s Law Problems

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Presentation transcript:

Coulomb’s Law Problems

Gravity vs. electric force The electron and proton of a hydrogen atom are separated, on average, by a distance of about 5.3x10-11m. Find the magnitudes of the electric force and the gravitational force that each particle exerts on the other. me = 9.109x10-31kg mp = 1.673x10-27kg e = 1.60x10-19C k = 8.99x109Nm2/C2 ANSWER: Fe = 8.2x10-8N, Fg = 3.6x10-47N

Large electric force Calculate the force between a +1C and -1C object if they are placed 1.0km away from each other. ANSWER: 9000N

Hydrogen atom – Bohr model Calculate the speed of an electron in a circular orbit around a proton if the radius of the atom is 5.29x10-11m me = 9.109x10-31kg mp = 1.673x10-27kg e = 1.60x10-19C k = 8.99x109Nm2/C2 ANSWER: 2.18x106m/s

Principle of Superposition If there are multiple point charges, the resultant force on one particle is the vector sum of the individual forces on that charge. Principle of Superposition

Three charges on a line Find the force on particle 1. ANSWER: +5.7N 2 3 0.2m 0.15m -4.0μC +3.0 μC -7.0 μC

Three charges in a plane 2 Find the force on particle 1. ANSWER: 23N @ 24o -6.0 μC 0.15m 73o 1 3 0.1m +4.0 μC -5.0 μC

Two 1. 1g balloons are suspended from 2 Two 1.1g balloons are suspended from 2.0m long strings and hung from the ceiling. They are then rubbed 10 times with animal fur to impart an identical charge Q to each balloon. The balloons repel each other and each string is observed to make an angle of 15° with the vertical. Determine the electric force of repulsion, the charge on each balloon, and the quantity of electrons transferred to each balloon as a result of 10 rubs with animal fur.