State any four uses of Van de Graaff generator. In a parallel plate air capacitor, intensity of electric field is changing at the rate of 2 $\times$ 10$^{11}$ V/ms. If area of each plate is 20 cm$^2$, calculate the displacement current.

Question

Q.31 State any four uses of Van de Graaff generator. In a parallel plate air capacitor, intensity of electric field is changing at the rate of 2 × 10 ¹¹ V/ms. If area of each plate is 20 cm ² , calculate the displacement current.

Doubtly AI · Accepted Answer

Answer: Displacement current I_d = 3.54 × 10⁻³ A (3.54 mA). Uses of Van de Graaff generator (any four): It produces very high potential differences (of the order of millions of volts). It is used to accelerate charged particles such as protons, deuterons and α -particles to high energies. The high-energy particles are used to carry out nuclear disintegration experiments and to study nuclear structure. Accelerated particles (or X-rays produced by them) are used in medicine, e.g. for cancer treatment, and in research and industry (e.g. ion implantation). It is used to demonstrate electrostatic phenomena such as high-voltage discharge. Numerical: Given dE/dt = 2 × 10¹¹ V m ⁻¹ s ⁻¹ (the paper’s “V/ms” means volt per metre per second), A = 20 cm ² = 2 × 10⁻³ m ² . Displacement current I_d = ε₀dΦ_E/dt = ε₀ AdE/dt : I_d = 8.85 × 10⁻¹² × 2 × 10⁻³ × 2 × 10¹¹ = 3.54 × 10⁻³ A

State any four uses of Van de Graaff generator. In a parallel plate air capacitor, intensity of electric field is changing at the rate of 2 \(\times\) 10\(^{11}\) V/ms. If area of each plate is 20 cm\(^2\), calculate the displacement current.

1 answer

Your answer