Home
Class 12
PHYSICS
Figure shows a capacitor made of two cir...

Figure shows a capacitor made of two circular plates each of radius `12 cm`, and separated by `5.0 cm`. the capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to `0.15 A`
(a) Calcuate the capacitance and the rate of change of potential difference between the plates
(b) Obtain the displacement current across the plates
(c) Is kirchhoff's first rule(junction rule) vaild at each plate of the capacitor ? Explain.
.

Text Solution

Verified by Experts

(i) As displacement current across the plates
`I_(d) = (d)/(dt) (epsi_(0)phi_(E)) = epsi_(0)(dphi_(E))/(dt)`
where `phi_(E)` = electric flux across the loop `= int_("loop") E.dS`
`phi_(E) = EA= (q)/(epsi_(0))`
`:. I_(d) = epsi_(0)((q)/(epsi_(0))) = (epsi_(0))/(epsi_(0)).(dq)/(dt) = I = 0.15 A`
i.e., displacement current is equal to condution current.
(ii) Yes, Kirchhoff's first rule is valid at each plate of the capacitor. Net current is equal to the sum of the condution current and the displacement current.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC WAVES

    DC PANDEY|Exercise Check point 8.1|10 Videos

  • ELECTROMAGNETIC WAVES

    DC PANDEY|Exercise Check point 8.2|15 Videos

  • ELECTROMAGNETIC WAVES

    DC PANDEY|Exercise Exercise Subjective|11 Videos

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY|Exercise Medical entrances gallery|25 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITORS

    DC PANDEY|Exercise (C) Chapter exercises|50 Videos

Similar Questions

Explore conceptually related problems

Fig. shows a capacitor made of two circular plates each of radius 12 cm and separated by 5.0mm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. (a) Calculate the capacitance and the rate of change of potential difference between the plates. (b) Obtain the displacement current across the plates. (c) Is Kirchhoff's first rule valid at each plate of the capacitor ? Explain.

A parallel plate capacitor made of two circular plates each of radius 10 cm and separated by 4.0mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.10A. Calculate (i) the capacitance (ii) the rate of change of potential difference between the plates (iii) the displacement current.

A capacitor made of two circular plates each of radius 12 cm and separated by 5 mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.15 A. The capacitance of the parallel plate capacitor is

A capacitor consists of two circular plates each of radius 8.0 cm and separated by 3.0 mm. The capacitor is being charged by an external battery. The charging current is constant and is equal to 0.3 A. Calculate (i) capacitance of capacitor, (ii) the rate of change of potential difference across the plates of capacitor and (iii) the displacement current.

A parallel plate capacitor consists of two circular plates each of radius 12 cm and separated by 5.0 mm . The capacitor is being charge by an external source. The charging current is constant and is equal to 0.15 A. The rate of change of potential difference between the plate will be

A parallel plate capacitor has two circular plates each of radius 5 cm separated by a distance of 3 m m . The capacitor current of 6 A is delived to it , find (a) The capacitance (b ) The rate of change of potential difference across the plates (c ) the displacement current .

A capacitor, made of two parallel plates each of plate area A and separation d, is being charged by an external ac socurce. Show that the displacement current inside the same as the current charging the capacitor.

A parallel plate capacitor is made out of two rectangular metal pates of sides 30 cmxx15 cm and separated by a distance of 2.0 mm. The capcitor is charged in such a way that the charging current has a constant value of 100mA. What must be the rate of change of potential of the charging source to ensure this and what will be the displacement current in the region between the capacitor plates?

Knowledge Check

  • A capacitor made of two circular plates each of radius 12 cm and separated by 5 mm. The capacitor is being charged by an external source. The charging current is constant and equal to 0.15 A. The capacitance of the parallel plate capacitor is

    A
    40 pF
    B
    45 pF
    C
    70 pF
    D
    80 pF

  • A parallel plate capacitor consists of two circular plates each of radius 12 cm and separated by 5.0 mm . The capacitor is being charge by an external source. The charging current is constant and is equal to 0.15 A. The rate of change of potential difference between the plate will be

    A
    `8.173xx10^(7) Vs^(-1)`
    B
    `7.817xx10^(8)Vs^(-1)`
    C
    `1.173xx10^(9)Vc^(-1)`
    D
    `3.781xx10^(10)Vs^(-1)`