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Introductory Exercise 21.1

Q.1. Is attraction a true test of electrification?

Ans. Due to induction effect, a charged body can attract a neutral body as shown below.
DC Pandey Solutions: Electrostatics - 1 - NEET
Body-1 is positively charged and body-2 is neutral. But we can see that due to distance factor attraction is more than the repulsion.

Q.2. What is the total charge, in coulombs, of all the electrons in a three-gram mole of hydrogen atoms?

Ans. Number of atoms in 3 gram-mole of hydrogen atom = number of electrons in it
= 3N0 = (3 × 6.02 × 1023) where
N0 = Avogadro number
∴ Total charge
= - (1.6 × 10-19) (3 × 6.02 × 1023)
= -2.89 × 105C

Introductory Exercise 21.2

Q.1. The mass of an electron is 9.11 × 10-31 kg, that of a proton is 1.67 × 10-27 kg. Find the ratio Fe/Fg of the electric force and the gravitational force exerted by the proton on the electron,
Ans.

DC Pandey Solutions: Electrostatics - 1 - NEET
DC Pandey Solutions: Electrostatics - 1 - NEET

Q.2. Find the dimensions and units of ∈0.
Ans.

 DC Pandey Solutions: Electrostatics - 1 - NEET
Units and dimensions can be found by above equation.

Q.3. Three point charges q are placed at three vertices of an equilateral triangle of side a. Find magnitude of electric force on any charge due to the other two.
Ans.

DC Pandey Solutions: Electrostatics - 1 - NEET
F = Force between can two point charges
DC Pandey Solutions: Electrostatics - 1 - NEET

Q.4. Three point charges each of value +q are placed on three vertices of a square of side a metre. What is the magnitude of the force on a point charge of value-q coulomb placed at the centre of the square?
Ans.

DC Pandey Solutions: Electrostatics - 1 - NEET
Net force on -q from the charges at B and D is zero. So net force on - q is only due to the charge at A.
DC Pandey Solutions: Electrostatics - 1 - NEET
where, DC Pandey Solutions: Electrostatics - 1 - NEET
DC Pandey Solutions: Electrostatics - 1 - NEET
DC Pandey Solutions: Electrostatics - 1 - NEET

Q.5. Is there any lower limit to the electric force between two particles placed at a certain distance?
Ans.

DC Pandey Solutions: Electrostatics - 1 - NEET
(q1)min = (q2)min
∴  DC Pandey Solutions: Electrostatics - 1 - NEET

Q.6. The electric force on a charge qdue to q2 is (4 i - 3 j) N. What is the force on qdue to q1?

Ans. Two forces are equal and opposite.

Introductory Exercise 21.3

Q.1: The electric field of a point charge is uniform. Is it true or false?

Ans. Electric field lines are not parallel and equidistant.

Q.2. Electric field lines are shown in Fig.. State whether the electric potential is greater at A or B.
DC Pandey Solutions: Electrostatics - 1 - NEET

Ans. Electric lines flow higher potential to lower potential.
VA > VB

Q.3. A charged particle always move in the direct ion of electric field. Is this statement true or false?

Ans. If charged particle is positive, and at rest. Electric field lines are straight then only it will move in the direction of electric field.

Q.4. What is the charge per unit area in C/m2, of an infinite plane sheet of charge if the electric field produced by the sheet of charge has magnitude 3.0 N/C?

Ans. DC Pandey Solutions: Electrostatics - 1 - NEET
∴ σ= (2E ε0)
= 2 × 3.0 × 8.86 × 10-12 = 5.31 × 10-11 C/m2

Q.5. The figure shows some of the electric field lines due to three-point charges q1, q2, and q3 of equal magnitude. What are the signs of each of the three charges?

Ans. Electric field lines start from positive charge and terminate on a negative charge.

Q.6. Four particles each having a charge q, are placed on the four vertices of a regular pentagon. The distance of each corner from the centre is a. Find the electric field at the centre of the pentagon.

Ans. In case of five charges at five vert ices o f regular pentagon net electric field at centre is zero. Because five vectors of equal magnitudes from a closed regular pentagon at shown in figure (i).
DC Pandey Solutions: Electrostatics - 1 - NEET
Where one charge is removed. Then one vector
DC Pandey Solutions: Electrostatics - 1 - NEET is deceased hence the net resultant is equal to magnitude of one vector
DC Pandey Solutions: Electrostatics - 1 - NEET

Q.7. A circular wire loop of radius R carries a total charge q distributed uniformly over its length. A small length x( << R) of the wire is cut off. Find the electric field at the centre due to the remaining wire.
Ans.

DC Pandey Solutions: Electrostatics - 1 - NEET
If loop is complete, then net electric field at centre C is zero. Because equal and opposite pair of electric field vectors are canceled.
If PQ portion is removed as shown in figure, then electric field due to portion RS is not cancelled. Hence electric field is only due to the option RS.
DC Pandey Solutions: Electrostatics - 1 - NEET
DC Pandey Solutions: Electrostatics - 1 - NEET

Q.8. A charge q = -2.0 μC is placed at origin. Find the electric field at (3m, 4m, 0).
Ans.

DC Pandey Solutions: Electrostatics - 1 - NEET
Here r = DC Pandey Solutions: Electrostatics - 1 - NEET
DC Pandey Solutions: Electrostatics - 1 - NEET
DC Pandey Solutions: Electrostatics - 1 - NEET 

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FAQs on DC Pandey Solutions: Electrostatics - 1 - NEET

1. What is electrostatics?
Ans. Electrostatics is a branch of physics that deals with the study of electric charges at rest and the forces and fields associated with them.
2. What are some common examples of electrostatics in daily life?
Ans. Some common examples of electrostatics in daily life include the attraction of a balloon to a person's hair after rubbing it on a sweater, the static cling of clothes after they are removed from a dryer, and the shock experienced when touching a metal object after walking on a carpet.
3. How does electrostatics relate to electricity?
Ans. Electrostatics is closely related to electricity as it involves the study of electric charges and their behavior. It provides the foundation for understanding the principles of electric fields, electric potential, and electric potential energy, which are fundamental concepts in the study of electricity.
4. What is the importance of studying electrostatics?
Ans. Studying electrostatics is important as it helps us understand the behavior of electric charges and the forces and fields associated with them. This knowledge is crucial in various fields such as engineering, electronics, and telecommunications. It also forms the basis for understanding more advanced concepts in electromagnetism.
5. What are some practical applications of electrostatics?
Ans. Electrostatics has several practical applications in our daily lives. Some examples include the use of electrostatic precipitators to remove pollutants from industrial exhaust gases, the operation of inkjet printers that use electrostatic forces to propel ink droplets onto paper, and the use of Van de Graaff generators for scientific research and demonstrations.
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