Advertisements
Advertisements
प्रश्न
Solve numerical example.
Three equal charges of 10×10-8 C respectively, each located at the corners of a right triangle whose sides are 15 cm, 20 cm, and 25cm respectively. Find the force exerted on the charge located at the 90° angle.
Advertisements
उत्तर
Given: qA = qB = qC = 10 × 10-8 C
Force on B due to A,
`vec"F"_"BA"=1/(4πε_0)("q"_"A""q"_"B")/(("r"_"AB"^2))`
= `9 × 10^9xx((10xx10^-8)^2)/(20xx10^-2)^2`
= 2.25 × 10−3 N
Force on B due to C,
`vec"F"_"BC"=1/(4πε_0)("q"_"C""q"_"B")/(("r"_"BC"^2))`
= `9xx10^9xx((10xx10^-8)^2)/(15xx10^-2)^2`
= 4 × 10−3 N
∴ Resultant force on point B,
|FB| = `sqrt("F"_"BA"^2+"F"_"BC"^2+2"F"_"BA"."F"_"BC"cos 90)`
= `sqrt((2.25xx10^-3)^2+(4xx10^-3)^2)`
= 4.589 × 10−3 N
Force exerted on charge at point B is 4.589 × 10−3 N.
APPEARS IN
संबंधित प्रश्न
The electrostatic force on a small sphere of charge 0.4 μC due to another small sphere of charge −0.8 μC in air is 0.2 N.
- What is the distance between the two spheres?
- What is the force on the second sphere due to the first?
Check that the ratio `(ke^2)/(G m_em_p)` is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify?
Suppose that the particle is an electron projected with velocity vx = 2.0 × 106 m s−1. If E between the plates separated by 0.5 cm is 9.1 × 102 N/C, where will the electron strike the upper plate? (|e| = 1.6 × 10−19 C, me = 9.1 × 10−31 kg)
Two equal charges are placed at a separation of 1.0 m. What should be the magnitude of the charges, so that the force between them equals the weight of a 50 kg person?
Consider a gold nucleus to be a sphere of radius 6.9 fermi in which protons and neutrons are distributed. Find the force of repulsion between two protons situated at largest separation. Why do these protons not fly apart under this repulsion?
Two insulating small spheres are rubbed against each other and placed 1 cm apart. If they attract each other with a force of 0.1 N, how many electrons were transferred from one sphere to the other during rubbing?
NaCl molecule is bound due to the electric force between the sodium and the chlorine ions when one electron of sodium is transferred to chlorine. Taking the separation between the ions to be 2.75 × 10−8 cm, find the force of attraction between them. State the assumptions (if any) that you have made.
Find the speed of the electron in the ground state of a hydrogen atom. The description of ground state is given in the previous problem.
Two small spheres, each with a mass of 20 g, are suspended from a common point by two insulating strings of length 40 cm each. The spheres are identically charged and the separation between the balls at equilibrium is found to be 4 cm. Find the charge on each sphere.
Two identical pith balls, each carrying a charge q, are suspended from a common point by two strings of equal length l. Find the mass of each ball if the angle between the strings is 2θ in equilibrium.
A particle A with a charge of 2.0 × 10−6 C and a mass of 100 g is placed at the bottom of a smooth inclined plane of inclination 30°. Where should another particle B, with the same charge and mass, be placed on the incline so that it may remain in equilibrium?
Two particles A and B, each carrying a charge Q, are held fixed with a separation dbetween them. A particle C of mass m and charge q is kept at the middle point of the line AB. If it is displaced through a distance x perpendicular to AB, what would be the electric force experienced by it?
A water particle of mass 10.0 mg and with a charge of 1.50 × 10−6 C stays suspended in a room. What is the magnitude of electric field in the room? What is its direction ?
Two identical particles, each with a charge of 2.0 × 10−4 C and mass of 10 g, are kept at a separation of 10 cm and then released. What would be the speed of the particles when the separation becomes large?
Define a unit charge.
Explain in detail Coulomb’s law and its various aspects.
The force between two charges 0.06 m apart is 5 N. If each charge is moved towards the other by 0.01 m, then the force between them will become ______.
Two positive charges ______.
For charges q1 and q2 separated by a distance R the magnitude of the electrostatic force is given by ______.
SI unit of permittivity of free space is ______.
A charge Q is divided into two parts of q and Q – q. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of Q/q should be ______.
Four equal charges q are placed at the four comers A, B, C, D of a square of length a. The magnitude of the force on the charge at B will be ______.
Two charges of equal magnitudes kept at a distance r exert a force F on each other. If the charges are halved and distance between them is doubled, then the new force acting on each charge is ______.
Coulomb's law is given by F = k q1q2 rn where n is
Identify the wrong statement in the following.
Coulomb's law correctly describes the electric force that ______.
According to Coulomb's law, which is the correct relation for the following figure?
Two point charges +2 C and +6 C repel each other with a force of 12 N. If a charge of -4 C is given to each of these charges, then the force now is ______.
