What is the importance of practising Electrostatics PYQs?

Practising PYQs helps recognize the types of questions that are typically asked, the complexity level, and the recurring themes within Electrostatics. Regular exposure to previous exam questions improves your analytical abilities and problem-solving speed, which are crucial for performing well under the time constraints of the JEE Main exam.

Which subtopics from Electrostatics are most commonly appeared in the IIT JEE exam?

Aspirants can pinpoint the subtopics within Electrostatics frequently asked, such as Coulomb's Law, Electric Fields,Potential and Capacitors, allowing you to prioritize these areas during your preparation.

How many questions come from Electrostatics in JEE Mains?

Electrostatics is a fundamental component of the JEE Main Physics syllabus. Historically, this chapter accounts for approximately 3.3% of the total marks in the Physics section. Candidates can expect around 2 to 3 questions from Electrostatics in each exam session.

Electrostatics Previous Year Questions with Solutions

JEE Main Previous Year Solved Questions on Electrostatics
JEE Adv Previous Year Solved Questions on Electrostatics

Coulomb’s Law	$F = K \frac{q _{1} q _{2}}{r ^{2}} k = \frac{1}{4 π ε _{0}} = 9 \times 1 0^{9} Nm^{2} C^{- 2} = Coulomb Constant$
Coulomb's Law in Vector Form	$F_{21} = \frac{1}{4 π ε _{0}} \cdot \frac{q _{1} q _{2} ( r _{2} - r _{1} )}{r _{2} - r _{1} ^{3}} O r F_{12} = - \frac{1}{4 π ε _{0}} \cdot \frac{q _{1} q _{2} ( r _{2} - r _{1} )}{r _{2} - r _{1} ^{3}}$
Superposition Principle	$F = F_{01} + F_{02} + F_{03} + \dots + F_{0 n} F = \frac{k q _{0} q _{1}}{r _{1}^{2}} \overset{r}{^}_{1} + \frac{k q _{0} q _{2}}{r _{2}^{2}} \overset{r}{^}_{2} + \frac{k q _{0} q _{3}}{r _{3}^{2}} \overset{r}{^}_{3} + \dots + \frac{k q _{0} q _{n}}{r _{n}^{2}} \overset{r}{^}_{n}$

Case-1:

The equilibrium position will be near to a smaller charge.

$x = \frac{r}{\frac{Q _{1}}{Q _{2}} + 1} Q_{1} Q_{2} > 0 and ∣ Q_{1} ∣ < ∣ Q_{2} ∣$

Case-2:

The equilibrium position will be near to a smaller charge

$x = \frac{r}{\frac{Q _{1}}{Q _{2}} - 1} Q_{1} Q_{2} < 0 and ∣ Q_{1} ∣ < ∣ Q_{2} ∣$

Electric Field Intensity	$E = lim_{q_{0} \to 0} \frac{F}{q _{0}}$
Linear Charge Density()	$λ = \frac{Q}{l}$
Surface Charge Density ()	$σ = \frac{Q}{S}$
Volume Charge Density()	$ρ = \frac{Q}{V}$
At Axial / End on position	$E_{Axial} = \frac{1}{4 π ε _{0}} \cdot \frac{2 p}{r ^{3}}$
At Equator/Broadside on position	$E_{Equi} = \frac{1}{4 π ε _{0}} \cdot \frac{p}{r ^{3}}$
At general position	$E = - \frac{p}{4 π ε _{0} r ^{3}} (3 cos^{2} θ + 1) tan α = \frac{1}{2} tan θ$
For Infinite Wire,( both ends goes to infinite)	$E_{x} = E_{⊥} = \frac{2 kλ}{r}$
For Semi-infinite wire	$E_{x} = E_{1} = \frac{kλ}{r}, E_{y} = E_{2} = \frac{kλ}{r} E_{Resultant} = 2 \cdot \frac{kλ}{r}$
Electric Field due to a uniformly charged Arc	$E = \frac{2 kλ}{R} sin (\frac{θ}{2})$
Electric field at centre of uniformly charged Ring	E=0
Electric Field due to a Uniformly charged Ring at its Axis	$E = \frac{k Q x}{( x ^{2} + r ^{2} ) ^{3/2}}$
Dipole placed in an electric field,	$τ = pE sin θ$
Work done in rotating a dipole in a uniform electric field	$W = pE (cos θ_{1} - cos θ_{2})$

Electric flux through a large surface	$Φ = \int d ϕ = \int E \cdot d A$
Gauss Law-	$Φ = \oint E \cdot d S = \frac{q _{enclosed}}{ε _{0}}$
Electric field Intensity due to infinitely long wire	$E = \frac{λ}{2 π ε _{0} r} = \frac{2 kλ}{r}$
Electric field due to uniformly charged long cylindrical pipe/cylindrical shell	$(a) E = \frac{σ R}{ε _{0} r} (r > R) (b) E = \frac{σ}{ε _{0}} (r = R) (c) E_{inside} = 0 (r < R)$
Electric Field due to Uniformly Charged Infinite Sheet	$(a) E = \frac{σ}{2 ε _{0}} (Non Conducting Sheet) (b) E = \frac{σ}{ε _{0}} (Conducting Sheet)$
Electric Field due to the charged conducting sphere or charged thin shell	$E = \frac{q}{4 π ε _{0} r ^{2}} = \frac{k q}{r ^{2}} (r > R) E_{s} = \frac{k q}{R ^{2}} = \frac{q}{4 π ε _{0} R ^{2}} = \frac{σ}{ε _{0}} (since σ = \frac{q}{4 π R ^{2}}) (r = R) E_{inside} = 0 (r < R)$
.Electric Field due to uniformly charged non conducting sphere(solid sphere)	$E = \frac{k q}{r ^{2}} (r > R) E_{s} = \frac{k q}{R ^{2}} = \frac{q}{4 π ε _{0} R ^{2}} = \frac{ρR}{3 ε _{0}} (r = R) E_{inside} = \frac{1}{4 π ε _{0}} \cdot \frac{q r}{R ^{3}} = \frac{ρ r}{3 ε _{0}} (r < R)$

Electrostatic Potential Energy(EPE)	$U = \frac{k Qq}{r}$
EPE For Three system of charges	$U = \frac{k q _{1} q _{2}}{r _{12}} + \frac{k q _{2} q _{3}}{r _{23}} + \frac{k q _{1} q _{3}}{r _{13}}$
Electric potential	$V_{p} = \frac{( w _{on} - w _{off} )}{q}, (Δ K = 0), V = \frac{k Q}{r}$
Electrical Capacitance(C)	$C = \frac{Q}{V}$
Capacitance of Parallel Plate Capacitor	$C = \frac{ε _{0} A}{d}$
Capacitance Of Spherical Capacitor	$C = 4 π ε_{0} r C = 4 π ε_{0} (\frac{ab}{b - a})$
Capacitors in series	$\frac{1}{C} = \frac{1}{C _{1}} + \frac{1}{C _{2}} + \frac{1}{C _{3}} + \dots + \frac{1}{C _{n}}$
Capacitors in parallel	$C = C_{1} + C_{2} + C_{3} + \dots + C_{n}$
Energy stored in a capacitor	$U = \frac{1}{2} C V^{2} U = \frac{1}{2} Q V U = \frac{1}{2} \frac{Q ^{2}}{C}$
Energy Density in a parallel plate capacitor	$U_{E} = \frac{1}{2} ε_{0} E^{2}$
Common Potential	$V = \frac{C _{1} V _{1} + C _{2} V _{2}}{C _{1} + C _{2}}$
Loss of Heat Energy on sharing charges	$Heat = \frac{C _{1} C _{2} ( V _{1} - V _{2} ) ^{2}}{2 ( C _{1} + C _{2} )}$
If unlike plates are connected,heat loss	$Heat = \frac{C _{1} C _{2} ( V _{1} + V _{2} ) ^{2}}{2 ( C _{1} + C _{2} )}$
Capacitance of parallel plate when dielectric is partially filled	$C = \frac{ε _{0} A}{( d - t ) + \frac{t}{k}}$
Force between plates of parallel plate capacitor	$F = \frac{Q ^{2}}{2 A ε _{0}} = \frac{2 d A - C V ^{2}}{2 d}$
Pressure on each plate of a capacitor	$P = \frac{σ ^{2}}{2 ε _{0}}$

Frequently Asked Questions

What is the importance of practising Electrostatics PYQs?

Which subtopics from Electrostatics are most commonly appeared in the IIT JEE exam?

How many questions come from Electrostatics in JEE Mains?

Frequently Asked Questions

What is the importance of practising Electrostatics PYQs?

Which subtopics from Electrostatics are most commonly appeared in the IIT JEE exam?

How many questions come from Electrostatics in JEE Mains?

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Electrostatics Previous Year Questions with Solutions

1.0Key Concepts to Remember

Definitions

Important Formulas

Short Tricks

2.0JEE Main Past Year Questions with Solutions on Electrostatics

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