AP EAMCET201923 Apr 2019Morning ShiftPhysicsElectromagnetic WavesActual
A parallel plate capacitor consists of two circular plates each of radius (2 ~cm ), separated by a distance of (0.1 ~mm ). If the potential difference across the plates is varying at the rate of (5 10^6 Vs ⁻¹ ), then the value of displacement current is
Options
- A(5.56 ~A )
- B(5.56 ~mA )
- C(0.556 ~mA )
- D(2.28 ~mA )
Correct answer
C. (0.556 ~mA )
Step-by-step solution
According to the question, a parallel plate capacitor is shown in the figure below, Given, radius (=2 ~cm ), distance between plates, (d=0.1 ~mm and d V d t =5 10^6 Vs ⁻¹ ) Displacement current in the capacitor, ( aligned I_d= ₀ d d t & = ₀ d E d t A I_d & = ₀ A d E d t I_d & = ₀ A d d V d t ( E= V d ) aligned ) Putting the given values, we get ( aligned & I_d= 8.85 10⁻¹² (4 10⁻⁴ ) 5 10^6 1 10⁻⁴ ~A & I_d=556.28 10⁻⁶ ~A =0.556 ~mA aligned ) Hence, the correct option is (c).