How do you know if an equilibrium is stable or unstable?

Stability theorem

1. if f′(x∗)<0, the equilibrium x(t)=x∗ is stable, and.
2. if f′(x∗)>0, the equilibrium x(t)=x∗ is unstable.

What happens when a positive charge and negative charge are placed near each other?

When two positively charged objects are brought near each other, a similar repulsive force is produced. When a negatively charged object is brought near a positively charged object, an attractive force is produced. Since both leaves are negatively charged, they repel each other.

What would happen if two negative charges were next to each other?

Like charges repel each other; unlike charges attract. Thus, two negative charges repel one another, while a positive charge attracts a negative charge. The attraction or repulsion acts along the line between the two charges. The size of the force varies inversely as the square of the distance between the two charges.

What does the positive (+) charge indicate what does the (-) charge indicate?

If there are more protons than electrons, the object will be positively charged, and if there are more electrons than protons, it will be negatively charged.

What is stable and unstable equilibrium in economics?

stable and unstable equilibria of an economic system. A stable equilibrium. presents itself, when after a slight haphazard deviation the system moves back. to the original position. An unstable equilibrium exists when the system does.

What is stable and unstable equilibrium in dipole?

Note: Stable equilibrium means the lowest potential energy at the equilibrium point. Therefore the stable equilibrium the torque should be zero and the potential energy of the dipole should be minimum. Whereas the unstable equilibrium torque will be zero and the potential energy should be maximum or positive.

What happens when a positively charged object touches a negatively charged object?

What is positive charge and negative charge in physics?

Electric charge is a physical property of matter. It is created by an imbalance in a substance’s number of protons and electrons. The matter is positively charged if it contains more protons than electrons, and it is negatively charged if it contains more electrons than protons.

Why are the two particles negatively charged?

Opposite charges attract each other and same charges repel each other. It can be observed that particles 1 and 2 both move towards the positively charged plate and repel away from the negatively charged plate. Hence, these two particles are negatively charged.

How do you find the net force between two charges?

Assume the 2 charges to be placed on the X- Axis, +4e charge on the left & +e charge on the left. If we keep a positive charge qbetween them, this positive charge will experience rightward force due to +4e & leftward force due to +e charge Hence by changing the position of q we can get a point at which net force will be Zero.

How do you find the distance between two charges on-axis?

There are only two place on-axis where this is true: one place lies between the two charges, the other is at distance d from the smaller charge, but on the opposite side of the larger charge, and therefore distance 2 d from the larger charge.

What is the force experienced by the test charge?

This is because the negative test charge is repelled by the charge placed at point B but attracted towards point A. Therefore, the force experienced by the test charge is 8.1 × 10 -3 N along OA. Q9 : A system has two charges qA = 2.5 x 10-7 C and qB = -2.5 x 10-7 C located at points A: (0, 0, – 15 cm) and B: (0, 0, + 15 cm), respectively.