Electric Field and Charge
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Questions and Answers

What is the direction of force experienced by a positive charge in an electric field?

  • Independent of the electric field
  • In the direction of the electric field (correct)
  • Perpendicular to the electric field
  • Opposite to the direction of the electric field
  • What is the unit of electric field intensity?

  • Newton per Coulomb
  • Volt per Meter
  • Joule per Coulomb
  • All of the above (correct)
  • If a point charge Q is placed in vacuum, what is the direction of the electric field at a point P?

  • Perpendicular to the line OP
  • Tangential to the charge
  • Independent of the charge
  • Radial from the charge (correct)
  • What is the principle used to find the resultant electric field intensity when there are multiple charges?

    <p>Principle of Superposition</p> Signup and view all the answers

    What is the dimensional formula for electric field intensity?

    <p>MLT-3 A-1</p> Signup and view all the answers

    What is the condition for a metal sphere to be in equilibrium in an uniform electric field?

    <p>The electric field lines must be normal to the sphere</p> Signup and view all the answers

    What is the direction of the force experienced by the electric dipole when placed perpendicular to an infinite line of charge?

    <p>Towards the line charge</p> Signup and view all the answers

    What is the electric flux through an area element ΔS?

    <p>E ΔS cos θ</p> Signup and view all the answers

    What is the unit of electric flux?

    <p>Nm²C-1</p> Signup and view all the answers

    What is the mathematical representation of Gauss's law?

    <p>φE = ∫E ⋅ dS = q / ε₀</p> Signup and view all the answers

    What is the angle between the electric field E and the area element ΔS?

    <p>θ is the angle between E and ΔS</p> Signup and view all the answers

    What is the direction of the electric field due to an infinitely long charged wire?

    <p>Radial direction</p> Signup and view all the answers

    What is the electric field at a point due to an oscillating dipole if it is rotated by 90° about its perpendicular axis?

    <p>P / (4πε₀R²sinθ)</p> Signup and view all the answers

    How does the frequency of a positively charged pendulum oscillating in a uniform electric field compare to its frequency when uncharged?

    <p>It decreases</p> Signup and view all the answers

    What is the variation of the electric field with distance from the centre of a uniformly charged non-conducting sphere of radius R?

    <p>1/r²</p> Signup and view all the answers

    An α-particle of mass 6.4 × 10⁻²⁷ kg and charge 3.2 × 10⁻¹⁹ C is situated in a uniform electric field of 1.6 × 10⁵ V/m. What is its velocity at the end of a 2 × 10⁻² m path when it starts from rest?

    <p>3.2 × 10⁵ ms⁻¹</p> Signup and view all the answers

    A circular wire of radius R carries a total charge Q distributed uniformly over its circumference. If a small length of the wire subtending an angle θ at the centre is cut off, what is the electric field at the centre due to the remaining portion?

    <p>Q / (2πε₀R)</p> Signup and view all the answers

    How does the electric field vary with distance x along the x-axis for a two-point charge system separated by 2a?

    <p>1/(x - a) + 1/(x + a)</p> Signup and view all the answers

    If the charges on the two point charges A and B are +Q and -Q respectively, and the force between them is F, what would be the force between them if 25% of the charge of A is transferred to B?

    <p>16F/9</p> Signup and view all the answers

    If the charge of a proton is -e and that of an electron is e + ∆e, what would be the order of ∆e if the net of electrostatic force and gravitational force between two hydrogen atoms at a distance d apart is zero?

    <p>10^(-37) C</p> Signup and view all the answers

    Two identical charged spheres suspended from a common point by two massless strings of lengths l are initially at a distance d apart. What is the nature of the force between them?

    <p>Repulsive electrostatic force</p> Signup and view all the answers

    If the force between two point charges is F, what would be the force between them if their charges are both doubled?

    <p>16F</p> Signup and view all the answers

    Two point charges of +Q and -Q are placed at a certain distance apart, resulting in a force F between them. What would be the force between them if the charges are interchanged?

    <p>-F</p> Signup and view all the answers

    What is the condition for the time period of the pendulum bob to be greater than 2π?

    <p>qE0t &gt; 2π</p> Signup and view all the answers

    What is the dielectric constant k of the liquid if the angle θ remains the same?

    <p>ρ-σ / ρ</p> Signup and view all the answers

    What is the change in momentum Dp of the particle during any time interval t?

    <p>qE0t</p> Signup and view all the answers

    What is the electric intensity outside a charged sphere of radius R at a distance r(r > R)?

    <p>σR² / ε₀r²</p> Signup and view all the answers

    What is the velocity acquired by the electron as it travels a distance l?

    <p>√(2Eq / ml)</p> Signup and view all the answers

    What is the electric field line configuration in the figure?

    <p>Radial electric field lines emanating from point A</p> Signup and view all the answers

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