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Electrostatics MCQs for MDCAT

42 practice MCQs on Coulomb's law, electric field and potential, Gauss's law and capacitors. Every question has the correct answer and an explanation.

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Electrostatics is part of the MDCAT Physics syllabus. This page collects Electrostatics MCQs in the style of past MDCAT papers — below are 12 of them with answers and explanations, and the full set of 42 questions is in the HighYield MDCAT QBank.

This chapter covers: Coulomb's law, electric field and potential, Gauss's law and capacitors.

Electrostatics MCQs with answers

Q1.Electric charge on an object is measured as 5 micro coulombs. How the value of this charge can be expressed in terms of base units:

  • A.5 x 100 ampere second
  • B.5 x 10-6 ampere second
  • C.5 x 10+6 coulomb second
  • D.5 x 100 coulomb second
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Correct answer: B. 5 x 10-6 ampere second

A charge of 5 microcoulombs, expressed in base SI units, is 5×10⁻⁶ ampere-seconds, since one coulomb is defined as one ampere flowing for one second.

Q2.What will be the effect on the capacitance of a capacitor if area of each plate is doubled while separation between the plates is halved?

  • A.Capacitance remains same
  • B.Capacitance becomes double
  • C.Capacitance becomes four times
  • D.Capacitance reduces to half
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Correct answer: C. Capacitance becomes four times

Since capacitance C = ε0A/d, doubling the area (A) and halving the separation (d) both increase capacitance, together making it four times the original value.

Q3.If the length, width and separation between the plates of a parallel plate capacitor is doubled then its capacitance becomes:

  • A.Double
  • B.Half
  • C.Four-times
  • D.Eight-times
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Correct answer: A. Double

Since capacitance C = ε0A/d, doubling both the plate dimensions (length and width, so area quadruples) and the separation (d doubles) gives an overall factor of 4/2 = 2, so capacitance doubles.

Q4.When a capacitor is connected to A.C source how many times, it will saturate in 5 cycles

  • A.5
  • B.zero
  • C.10
  • D.6
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Correct answer: C. 10

A capacitor connected to an AC source charges and discharges (effectively 'saturating' and reversing) twice per cycle, so over 5 complete cycles it does so 10 times.

Q5.The concept of an electric field was introduced by:

  • A.Henry
  • B.Faraday
  • C.Watt
  • D.Oersted
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Correct answer: B. Faraday

Michael Faraday, a British scientist, introduced the concept of an electric field in the early 19th century. He used the concept to describe the influence that a charged object exerts on its surroundings, even in the absence of other charges.

Q6.A 3KQ resistor is connected in series with a capacitor of capacitance 2mF. The time constant for capacitor is:

  • A.1 sec
  • B.5 sec
  • C.6 sec
  • D.1.33 sec
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Correct answer: C. 6 sec

The time constant of an RC circuit is τ = RC = 3000 Ω × 2×10⁻³ F = 6 seconds.

Q7.The coulomb's constant k depends upon:

  • A.nature of medium
  • B.system of units
  • C.types of charge
  • D.nature of medium and system of units
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Correct answer: D. nature of medium and system of units

Coulomb's constant, denoted by k, is a fundamental constant in electrostatics that determine the strength of the electrostatic force between two charged particles. It is expressed as: k = 1 / (4πεo) Where εo is the permittivity of free space. The value of k depends on both the nature of the medium and the system of units being used. The nature of the medium affects the permittivity, which is a measure of how easily electric fields can propagate through a material. Similarly, the system of units used can also affect the value of Coulomb's constant.

Q8.To store the electric charge the ultra-capacitors use _ effect.

  • A.Single layer
  • B.Double layer
  • C.Triple layer
  • D.Quadruple layer
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Correct answer: B. Double layer

To store electric charge, ultra-capacitors use the double-layer effect.

Q9.As per Coulomb's law, the force of attraction or repulsion between two-point charges is directly proportional to the:

  • A.Sum of the magnitude of charges
  • B.Square of the distance between them
  • C.Product of the magnitude of charges
  • D.Cube of the distance
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Correct answer: C. Product of the magnitude of charges

Option C is correct. Coulomb's law states that the force is directly proportional to the product of the magnitude of charges (q1 * q2).

Q10.Two equal and opposite charges of 10 C are separated at a distance of 10 cm, the electric potential at mid-point between the charges is:

  • A.20 V
  • B.10 V
  • C.5 V
  • D.0 V
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Correct answer: D. 0 V

At the midpoint between two equal and opposite charges, the electric potential contributions from each charge are equal in magnitude but opposite in sign. Therefore, they cancel each other out, resulting in a total electric potential of 0 V at that point. This is why the correct answer is 0 V. The other options suggest a non-zero potential, which does not consider the crucial fact that the charges are equal and opposite, leading to a complete cancellation of their effects at the midpoint.

Q11._ law states that the magnitude of the force between 2-point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.

  • A.Ohm's law
  • B.Gauss law
  • C.Coulomb's law
  • D.Lenz law
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Correct answer: C. Coulomb's law

Coulomb's law states that the magnitude of the electrostatic force (F) between two point charges (q1 and q2) is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance (r) between them:F ∝ (q1 × q2) / r²orF = k × (q1 × q2) / r²where k is Coulomb's constant.

Q12.The SI unit of electric potential is:

  • A.Volt
  • B.Coulomb
  • C.Ampere
  • D.Ohm
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Correct answer: A. Volt

The SI unit of electric potential, also known as voltage, is the volt (V). It is defined as the potential difference required to produce a current of one ampere through a resistance of one ohm.

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