Electrostatics & Circuits

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Electrostatics & Circuits MCQ & Objective Questions

Understanding "Electrostatics & Circuits" is crucial for students preparing for school and competitive exams in India. This topic not only forms a significant part of the syllabus but also features prominently in various objective questions and MCQs. By practicing these questions, students can enhance their grasp of concepts and improve their chances of scoring better in exams.

What You Will Practise Here

  • Fundamental concepts of electrostatics, including charge, electric field, and potential.
  • Key formulas related to Coulomb's law and electric field strength.
  • Understanding of capacitors, their types, and applications in circuits.
  • Basic circuit theory, including Ohm's law and Kirchhoff's laws.
  • Analysis of series and parallel circuits with practical examples.
  • Diagrams illustrating electric field lines and circuit schematics.
  • Problem-solving strategies for common electrostatics and circuit-related questions.

Exam Relevance

The topics of Electrostatics and Circuits are integral to the curriculum of CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of theoretical concepts as well as practical applications. Common question patterns include numerical problems, conceptual MCQs, and diagram-based questions that require a clear understanding of the subject matter.

Common Mistakes Students Make

  • Confusing the concepts of electric field and electric potential.
  • Misapplying Ohm's law in complex circuits.
  • Overlooking the significance of units in calculations.
  • Failing to interpret circuit diagrams accurately.
  • Neglecting to review the properties of capacitors and their behavior in circuits.

FAQs

Question: What are the key formulas I should remember for Electrostatics?
Answer: Important formulas include Coulomb's law (F = k * |q1 * q2| / r²) and the formula for electric field (E = F/q).

Question: How can I improve my performance in circuit-related MCQs?
Answer: Practice solving circuit problems regularly and familiarize yourself with different circuit configurations.

Question: Are there any specific topics I should focus on for competitive exams?
Answer: Focus on understanding capacitors, circuit laws, and the relationship between voltage, current, and resistance.

Now is the time to boost your exam preparation! Dive into our practice MCQs on Electrostatics & Circuits and test your understanding to achieve your academic goals.

Coulombs Law and Electric Field Coulombs Law and Electric Field - Capacitance and Dielectrics Coulombs Law and Electric Field - Circuit Analysis Techniques Coulombs Law and Electric Field - Electric Field Problems Coulombs Law and Electric Field - Transient Response in RC Circuits Current, Resistance and Ohms Law Current, Resistance and Ohms Law - Capacitance and Dielectrics Current, Resistance and Ohms Law - Circuit Analysis Techniques Current, Resistance and Ohms Law - Electric Field Problems Current, Resistance and Ohms Law - Transient Response in RC Circuits DC Circuits and Kirchhoffs Laws DC Circuits and Kirchhoffs Laws - Capacitance and Dielectrics DC Circuits and Kirchhoffs Laws - Circuit Analysis Techniques DC Circuits and Kirchhoffs Laws - Electric Field Problems DC Circuits and Kirchhoffs Laws - Transient Response in RC Circuits Electric Potential and Capacitance Electric Potential and Capacitance - Capacitance and Dielectrics Electric Potential and Capacitance - Circuit Analysis Techniques Electric Potential and Capacitance - Electric Field Problems Electric Potential and Capacitance - Transient Response in RC Circuits Magnetic Fields and Electromagnetic Induction Magnetic Fields and Electromagnetic Induction - Capacitance and Dielectrics Magnetic Fields and Electromagnetic Induction - Circuit Analysis Techniques Magnetic Fields and Electromagnetic Induction - Electric Field Problems Magnetic Fields and Electromagnetic Induction - Transient Response in RC Circuits
Q. A capacitor is charged to a voltage of 15 V and then disconnected from the battery. If the capacitance is 3 µF, what is the charge on the capacitor?
  • A. 45 µC
  • B. 30 µC
  • C. 15 µC
  • D. 60 µC
Q. A capacitor is charged to a voltage of 15 V and then disconnected from the power supply. What happens to the charge on the capacitor if the voltage is doubled?
  • A. Charge doubles
  • B. Charge halves
  • C. Charge remains the same
  • D. Charge becomes zero
Q. A capacitor of 10 µF is charged to a voltage of 5 V. What is the energy stored in the capacitor?
  • A. 0.125 mJ
  • B. 0.25 mJ
  • C. 0.5 mJ
  • D. 1 mJ
Q. A capacitor with a capacitance of 10μF is charged to a voltage of 5V. What is the charge stored in the capacitor?
  • A. 10μC
  • B. 50μC
  • C. 5μC
  • D. 100μC
Q. A circuit has a total voltage of 12V and a total resistance of 3 ohms. What is the total current in the circuit?
  • A. 4 A
  • B. 3 A
  • C. 2 A
  • D. 1 A
Q. According to Coulomb's law, what is the force between two charges of +3 µC and -2 µC separated by a distance of 0.1 m?
  • A. 0.54 N
  • B. 0.60 N
  • C. 0.72 N
  • D. 0.80 N
Q. According to Kirchhoff's Voltage Law, the sum of the voltages around a closed loop is equal to what?
  • A. Zero
  • B. The total current
  • C. The total resistance
  • D. The total power
Q. During the transient response of an RC circuit, what is the behavior of the voltage across the capacitor?
  • A. It increases linearly
  • B. It decreases exponentially
  • C. It increases exponentially
  • D. It remains constant
Q. If a 10 V battery is connected to a 5 Ω resistor, what is the current flowing through the resistor?
  • A. 2 A
  • B. 0.5 A
  • C. 5 A
  • D. 10 A
Q. If a 12 V battery is connected to a 3 Ω resistor, what is the current flowing through the circuit?
  • A. 2 A
  • B. 3 A
  • C. 4 A
  • D. 5 A
Q. If a capacitor discharges through a resistor, what is the formula for the voltage across the capacitor at time t?
  • A. V(t) = V0 * e^(-t/RC)
  • B. V(t) = V0 * (1 - e^(-t/RC))
  • C. V(t) = V0 * t/RC
  • D. V(t) = V0 * e^(t/RC)
Q. If a capacitor discharges through a resistor, what is the voltage across the capacitor after one time constant?
  • A. V0/e
  • B. V0/2
  • C. V0
  • D. 0
Q. If a capacitor has a capacitance of 10μF and is charged to a voltage of 5V, what is the charge stored in the capacitor?
  • A. 50μC
  • B. 5μC
  • C. 10μC
  • D. 100μC
Q. If a capacitor has a capacitance of 2μF and is charged to 10V, what is the charge stored in the capacitor?
  • A. 20μC
  • B. 5μC
  • C. 2μC
  • D. 10μC
Q. If a capacitor has a capacitance of 5μF and is charged to a voltage of 10V, what is the charge stored in the capacitor?
  • A. 0.05C
  • B. 0.1C
  • C. 0.5C
  • D. 1C
Q. If a capacitor is charged to a voltage of 20 V and then connected in parallel with another uncharged capacitor of the same capacitance, what is the new voltage across both capacitors?
  • A. 10 V
  • B. 20 V
  • C. 30 V
  • D. 40 V
Q. If a capacitor is charged to a voltage V and then disconnected from the power source, what happens to the charge on the capacitor over time?
  • A. It remains constant
  • B. It decreases exponentially
  • C. It increases exponentially
  • D. It becomes zero instantly
Q. If a capacitor is connected to an AC source, what happens to the current through the capacitor?
  • A. It is constant
  • B. It leads the voltage
  • C. It lags the voltage
  • D. It is zero
Q. If a capacitor of 10 µF is charged to 20 V, what is the energy stored in the capacitor?
  • A. 0.02 J
  • B. 0.1 J
  • C. 0.5 J
  • D. 0.1 mJ
Q. If a capacitor of 10 µF is charged to a voltage of 5V, what is the stored energy?
  • A. 0.125 mJ
  • B. 0.25 mJ
  • C. 0.5 mJ
  • D. 0.75 mJ
Q. If a capacitor of 10 µF is connected in series with a 20 µF capacitor, what is the total capacitance?
  • A. 6.67 µF
  • B. 30 µF
  • C. 15 µF
  • D. 8 µF
Q. If a capacitor of 5 microfarads is charged to 20 volts, what is the energy stored in the capacitor?
  • A. 0.01 J
  • B. 0.02 J
  • C. 0.05 J
  • D. 0.1 J
Q. If a capacitor of 5 µF is charged to 12 V, what is the energy stored in the capacitor?
  • A. 0.36 mJ
  • B. 0.72 mJ
  • C. 1.44 mJ
  • D. 2.88 mJ
Q. If a capacitor of 5 µF is charged to a voltage of 10 V, what is the charge stored in the capacitor?
  • A. 50 µC
  • B. 100 µC
  • C. 25 µC
  • D. 75 µC
Q. If a capacitor of 5 µF is charged to a voltage of 10V, what is the energy stored in the capacitor?
  • A. 0.25 mJ
  • B. 0.5 mJ
  • C. 0.75 mJ
  • D. 1.0 mJ
Q. If a capacitor of 5 µF is charged to a voltage of 10V, what is the stored energy?
  • A. 0.25 mJ
  • B. 0.5 mJ
  • C. 0.75 mJ
  • D. 1 mJ
Q. If a circuit has a total current of 5 A and a total resistance of 10 Ω, what is the total voltage?
  • A. 50 V
  • B. 25 V
  • C. 10 V
  • D. 5 V
Q. If a circuit has a total resistance of 10 Ω and a current of 2 A, what is the voltage across the circuit?
  • A. 5 V
  • B. 10 V
  • C. 20 V
  • D. 15 V
Q. If a circuit has a total resistance of 10Ω and a current of 5A, what is the voltage across the circuit?
  • A. 10V
  • B. 15V
  • C. 50V
  • D. 5V
Q. If a circuit has a total resistance of 10Ω and a total current of 2A, what is the total voltage supplied by the battery?
  • A. 5V
  • B. 10V
  • C. 15V
  • D. 20V
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