Latest Maharashtra State Board (SSC & HSC) 2026-27 Syllabus Digest & Solutions Updated!
Class 11 (FYJC / HSC)Physics2026-27 Syllabus

Chapter 10 Electrostatics Solutions

Complete Maharashtra State Board Balbharati & Yuvakbharati textbook solutions for Chapter 10 Electrostatics. Step-by-step solved exercises, numerical problems, and digest answers.

27 Solved Questions3 Diagrams2452 words

Maharashtra State Board 11th Physics Solutions Chapter 10 Electrostatics

1. Choose the correct option.

Question 1 Maharashtra Board Solution
A positively charged glass rod is brought close to a metallic rod isolated from the ground. The charge on the side of the metallic rod away from the glass rod will be (A) same as that on the glass rod and equal in quantity (B) opposite to that on the glass of and equal in quantity (C) same as that on the glass rod but lesser in quantity (D) same as that on the glass rod but more in quantity
Solution & Step-by-Step Answer:
(A) same as that on the glass rod and equal in quantity
Question 2 Maharashtra Board Solution
An electron is placed between two parallel plates connected to a battery. If the battery is switched on, the electron will (A) be attracted to the +ve plate (B) be attracted to the -ve plate (C) remain stationary (D) will move parallel to the plates
Solution & Step-by-Step Answer:
(A) be attracted to the +ve plate
Question 3 Maharashtra Board Solution
A charge of + 7 µC is placed at the centre of two concentric spheres with radius 2.0 cm and 4.0 cm respectively. The ratio of the flux through them will be (A) 1 : 4 (B) 1 : 2 (C) 1 : 1 (D) 1 : 16
Solution & Step-by-Step Answer:
(C) 1 : 1
Question 4 Maharashtra Board Solution
Two charges of 1.0 C each are placed one meter apart in free space. The force between them will be (A) 1.0 N (B) 9 × 109 N (C) 9 × 10-9 N (D) 10 N
Solution & Step-by-Step Answer:
(B) 9 × 109 N
Question 5 Maharashtra Board Solution
Two point charges of +5 µC are so placed that they experience a force of 80 × 10-3 N. They are then moved apart, so that the force is now 2.0 × 10-3 N. The distance between them is now (A) 1/4 the previous distance (B) double the previous distance (C) four times the previous distance (D) half the previous distance
Solution & Step-by-Step Answer:
(B) double the previous distance
Question 6 Maharashtra Board Solution
A metallic sphere A isolated from ground is charged to +50 µC. This sphere is brought in contact with other isolated metallic sphere B of half the radius of sphere A. The charge on the two sphere will be now in the ratio (A) 1 : 2 (B) 2 : 1 (C) 4 : 1 (D) 1 : 1
Solution & Step-by-Step Answer:
(D) 1 : 1
Question 7 Maharashtra Board Solution
Which of the following produces uniform electric field? (A) point charge (B) linear charge (C) two parallel plates (D) charge distributed an circular any
Solution & Step-by-Step Answer:
(C) two parallel plates
Question 8 Maharashtra Board Solution
Two point charges of A = +5.0 µC and B = -5.0 µC are separated by 5.0 cm. A point charge C = 1.0 µC is placed at 3.0 cm away from the centre on the perpendicular bisector of the line joining the two point charges. The charge at C will experience a force directed towards (A) point A (B) point B (C) a direction parallel to line AB (D) a direction along the perpendicular bisector
Solution & Step-by-Step Answer:
(C) a direction parallel to line AB

2. Answer the following questions.

Question 1 Maharashtra Board Solution
What is the magnitude of charge on an electron?
Solution & Step-by-Step Answer:
The magnitude of charge on an electron is 1.6 × 10-19 C
Question 2 Maharashtra Board Solution
State the law of conservation of charge.
Solution & Step-by-Step Answer:
In any given physical process, charge may get transferred from one part of the system to another, but the total charge in the system remains constant” OR For an isolated system, total charge cannot be created nor destroyed.
Question 3 Maharashtra Board Solution
Define a unit charge.
Solution & Step-by-Step Answer:
Unit charge (one coulomb) is the amount of charge which, when placed at a distance of one metre from another charge of the same magnitude in vacuum, experiences a force of 9.0 × 109 N.
Question 4 Maharashtra Board Solution
Two parallel plates have a potential difference of 10V between them. If the plates are 0.5 mm apart, what will be the strength of electric charge.
Solution & Step-by-Step Answer:
V=10V d = 0.5 mm = 0.5 × 10-3 m To find: The strength of electric field (E) Formula: E = Calculation: From formula, E = 20 × 103 V/m
Question 5 Maharashtra Board Solution
What is uniform electric field?
Solution & Step-by-Step Answer:
A uniform electric field is a field whose magnitude and direction are same at all points. For example, field between two parallel plates as shown in the diagram.

Question 6 Maharashtra Board Solution
If two lines of force intersect of one point. What does it mean?
Solution & Step-by-Step Answer:
If two lines of force intersect of one point, it would mean that electric field has two directions at a single point.
Question 7 Maharashtra Board Solution
State the units of linear charge density.
Solution & Step-by-Step Answer:
SI unit of λ is (C / m).
Question 8 Maharashtra Board Solution
What is the unit of dipole moment?
Solution & Step-by-Step Answer:
i. Strength of a dipole is measured in terms of a quantity called the dipole moment.

ii. Let q be the magnitude of each charge and 2 be the distance from negative charge to positive charge. Then, the product q(2) is called the dipole moment .

iii. Dipole moment is defined as = q(2)

iv. A dipole moment is a vector whose magnitude is q (2) and the direction is from the negative to the positive charge.

v. The unit of dipole moment is coulomb-metre (C m) or debye (D).

Question 9 Maharashtra Board Solution
What is relative permittivity?
Solution & Step-by-Step Answer:
i. Relative permittivity or dielectric constant is the ratio of absolute permittivity of a medium to the permittivity of free space. It is denoted as K or εr. i.e., K or εr =

ii. It is the ratio of the force between two point charges placed a certain distance apart in free space or vacuum to the force between the same two point charges when placed at the same distance in the given medium.
i.e., K or εr=

iii. It is also called as specific inductive capacity or dielectric constant.

3. Solve numerical examples.

Question 1 Maharashtra Board Solution
Two small spheres 18 cm apart have equal negative charges and repel each other with the force of 6 × 10-8 N. Find the total charge on both spheres.
Solution & Step-by-Step Answer:
Given: F = 6 × 10-8 N, r = 18 cm = 18 × 10-2 m To find: Total charge (q1 + q2) Formula: F = Calculation: From formula, Taking square roots from log table, ∴ q = -4.648 × 10-10 C ….(∵ the charges are negative) Total charge = q1 + q2 = 2q = 2 × (-4.648) × 10-10 = -9.296 × 10-10 C

Question 2 Maharashtra Board Solution
A charge + q exerts a force of magnitude – 0.2 N on another charge -2q. If they are separated by 25.0 cm, determine the value of q.
Solution & Step-by-Step Answer:
Given: q1 = + q, q2 = -2q, F = -0.2 N r = 25 cm = 25 × 10-2 m To find: Charge (q) Formula: F = Calculation: From formula, [Note: The answer given above is calculated in accordance with textual method considering the given data]
Question 3 Maharashtra Board Solution
Four charges of +6 × 10-8 C each are placed at the corners of a square whose sides are 3 cm each. Calculate the resultant force on each charge and show in direction on a diagram drawn to scale.
Solution & Step-by-Step Answer:
Given: qA = qB = qC = qD = 6 × 10-8 C, a = 3 cm ∴ Resultant force on ‘A’ = FAD cos 45 + FAB cos 45 + FAC = (3.6 × 10-2 × ) + (3.6 × 10-2 × ) + 1.8 × 10-2 = 6.89 × 10-2 N directed along
Question 4 Maharashtra Board Solution
The electric field in a region is given by = 5.0 N/C Calculate the electric flux through a square of side 10.0 cm in the following cases i. The square is along the XY plane ii. The square is along XZ plane iii. The normal to the square makes an angle of 45° with the Z axis.
Solution & Step-by-Step Answer:
Given: = 5.0 N/C, |E| = 5 N/C l = 10 cm = 10 × 10-2 m = 10-1 m A = l² – 10-2m² To find: Electric flux in three cases. (ø1) (ø2) (ø3) Formula: (ø1) = EA cos θ Calculation: Case I: When square is along the XY plane, ∴ θ = 0 ø1 = 5 × 10-2 cos 0 = 5 × 10-2 V m

Case II: When square is along XZ plane,
∴ θ = 90°
ø1= 5 × 10-2cos 90° = 0 V m

Case III: When normal to the square makes an angle of 45° with the Z axis.
∴ 0 = 45°
∴ ø3= 5 × 10-2× cos 45°
= 3.5 × 10-2V m

Question 5 Maharashtra Board Solution
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 25 cm respectively. Find the force exerted on the charge located at the 90° angle.
Solution & Step-by-Step Answer:
Given: qA = qB = qC = 10 × 10-8 Force on B due to A,
Question 6 Maharashtra Board Solution
A potential difference of 5000 volt is applied between two parallel plates 5 cm apart. A small oil drop having a charge of 9.6 x 10-19 C falls between the plates. Find (i) electric field intensity between the plates and (ii) the force on the oil drop.
Solution & Step-by-Step Answer:
Given: V = 5000 volt, d = 5 cm = 5 × 10-2 m q = 9.6 × 10-19 C To find: i. Electric field intensity (E) ii. Force (F) Formula: i. E = ii. E = Calculation: From formula (i), E = = 105 N/C From formula (ii) F = E x q = 105 × 9.6 × 10-19 = 9.6 × 10-14 N
Question 7 Maharashtra Board Solution
Calculate the electric field due to a charge of -8.0 × 10-8 C at a distance of 5.0 cm from it.
Solution & Step-by-Step Answer:
Given: q = – 8 × 10-8 C, r = 5 cm = 5 × 10-2 m To Find: Electric field (E) Formula: E = Calculation: From formula, E = 9 × 109 × = -2.88 × 105 N/C

11th Physics Digest Chapter 10 Electrostatics Intext Questions and Answers

Can you recall? (Textbookpage no. 188)

Question 1 Maharashtra Board Solution
Have you experienced a shock while getting up from a plastic chair and shaking hand with your friend?
Solution & Step-by-Step Answer:
Yes, sometimes a shock while getting up from a plastic chair and shaking hand with friend is experienced.
Question 2 Maharashtra Board Solution
Ever heard a crackling sound while taking out your sweater in winter?
Solution & Step-by-Step Answer:
Yes, sometimes while removing our sweater in winter, some crackling sound is heard and the sweater appears to stick to body.
Question 3 Maharashtra Board Solution
Have you seen the lightning striking during pre-monsoon weather?
Solution & Step-by-Step Answer:
Yes, sometimes lightning striking during pre-pre-monsoon weather seen.

Can you tell? (Textbook page no. 189)

i. When a petrol or a diesel tanker is emptied in a tank, it is grounded.
ii. A thick chain hangs from a petrol or a diesel tanker and it is in contact with ground when the tanker is moving.
Answer:
i. When a petrol or a diesel tanker is emptied in a tank, it is grounded so that it has an electrically conductive connection from the petrol or diesel tank to ground (Earth) to allow leakage of static and electrical charges.

ii. Metallic bodies of cars, trucks or any other big vehicles get charged because of friction between them and the air rushing past them. Hence, a thick chain is hanged from a petrol or a diesel tanker to make a contact with ground so that charge produced can leak to the ground through chain.

Can you tell? (Textbook page no. 194)

Three charges, q each, are placed at the vertices of an equilateral triangle. What will be the resultant force on charge q placed at the centroid of the triangle?
Answer:

Since AD. BE and CF meets at O, as centroid of an equilateral triangle.
∴ OA = OB = OC
∴ Let, r = OA = OB = OC
Force acting on point O due to charge on point A,

Force acting on point O due to charge on point B,

Force acting on point O due to charge on point C,

∴ Resultant force acting on point O,
F = OA+ OB+ OC
On resolving OBand OC, we get –OA
i.e., OB+ OC= –OA
∴ = OAOA= 0
Hence, the resultant force on the charge placed at the centroid of the equilateral triangle is zero.

Can you tell? (Textbook page no. 197)

Why a small voltage can produce a reasonably large electric field?
Answer:

Can you tell? (Textbook page no. 198)

Lines of force are imaginary; can they have any practical use?
Answer:
Yes, electric lines of force help us to visualise the nature of electric field in a region.

Can you tell? (Textbook page no. 204)

The surface charge density of Earth is σ = -1.33 nC/m². That is about 8.3 × 109electrons per square metre. If that is the case why don’t we feel it?
Answer:
The Earth along with its atmosphere acts as a neutral system. The atmosphere (ionosphere in particular) has nearly equal and opposite charge.

As a result, there exists a mechanism to replenish electric charges in the form of continual thunderstorms and lightning that occurs in different parts of the globe. This makes average charge on surface of the Earth as zero at any given time instant. Hence, we do not feel it.

Internet my friend (Textbook page no. 205)

i.
ii.
iii.
iv.
[Students are expected to visit the above mentioned websites and collect more information about electrostatics.]