Physics, asked by sidrabibi2003, 7 months ago

Physics assignment:

(1) Derive a relation for the electric potential at a certain point due to a point charge.

(2) Derive an expression for capacitance of a parallel plate capacitors.

(3) Derive an expression for Energy stored by the Capacitor.

Answers

Answered by piyasiya5
0

Answer:

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Answered by bhoomikasanjeev2009
2

Answer:

  • 1.Electric potential of a point charge is V=kQ/r V = k Q / r . Electric potential is a scalar, and electric field is a vector. Addition of voltages as numbers gives the voltage due to a combination of point charges, whereas addition of individual fields as vectors gives the total electric field.
  • ANSWER
  • Let the two plates are kept parallel to each other separated be a distance d and cross-sectional area of each plate is A.
  • Electric field by a single thin plate E
  • =
  • o
  • σ
  • Total electric field between the plates E=
  • o
  • σ
  • +
  • o
  • σ
  • Or E=
  • ϵ
  • o
  • σ
  • Or E=
  • o
  • Q
  • Potential difference between the plates V=Ed
  • ⟹ V=
  • o
  • Qd
  • Capacitance C=
  • V
  • Q
  • Thus we get capacitance of parallel plate capacitor C=
  • d
  • o
  • solution
  • The energy stored in a capacitor can be expressed in three ways: Ecap=QV2=CV22=Q22C E cap = QV 2 = CV 2 2 = Q 2 2 C , where Q is the charge, V is the voltage, and C is the capacitance of the capacitor. The energy is in joules when the charge is in coulombs, voltage is in volts, and capacitance is in farads
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