TEST PAPER 1

Section A: Multiple Choice Questions

  1. Which of the following is not a vector quantity?
    a) Force
    b) Electric field
    c) Electric potential
    d) Electric flux

  2. The force between two point charges is proportional to:
    a) The square of the distance between them
    b) The distance between them
    c) The product of the charges
    d) The sum of the charges

  3. A charge is placed in a uniform electric field. The force on the charge is:
    a) Zero
    b) Maximum
    c) Minimum
    d) Depends on the direction of the field

  4. The electric field at a point due to a uniformly charged spherical shell is:
    a) Zero
    b) Proportional to the distance from the center of the shell
    c) Independent of the distance from the center of the shell
    d) None of the above

  5. Which of the following is true about electric potential?
    a) It is a vector quantity
    b) It is a scalar quantity
    c) It is a vector sum of electric field and charge
    d) It is proportional to the distance from the charge

Section B: Short Answer Questions

  1. State Coulomb's law for electric force between two point charges.
  2. What is an electric field? Define it in terms of force.
  3. A point charge of +3 μC experiences a force of 0.15 N due to an electric field. What is the magnitude of the electric field at the location of the charge?
  4. What is the electric potential difference between two points if 10 J of work is required to move a charge of 2 C between them?
  5. What is the electric flux through a sphere of radius 2 m due to a point charge of 4 μC located at its center?

Section C: Long Answer Questions

  1. Derive an expression for the electric field at a point on the axial line of an electric dipole.
  2. Derive an expression for the electric potential at a point on the equatorial plane of an electric dipole.
  3. Two point charges of +10 μC and -5 μC are placed 30 cm apart. Find the point(s) on the line joining the charges where the electric field is zero.
  4. Derive an expression for the electric field at a point on the perpendicular bisector of a line joining two equal point charges.
  5. A parallel plate capacitor has a plate area of 0.1 m² and a separation of 0.01 m. The capacitor is charged to a potential difference of 500 V. What is the capacitance of the capacitor?