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A parallel plate capacitor made of two c...

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.

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To solve the problem, we will follow these steps: ### Step 1: Calculate the Capacitance The capacitance \( C \) of a parallel plate capacitor is given by the formula: \[ C = \frac{\varepsilon_0 \cdot A}{d} \] ...
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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 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.

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)`

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    Figure 8.01 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) Calculate the capacitance and the rate of charge of potential difference between the plates. (b) Obtain the displacement current across the plates. (c) Is Kirchhoff.s first rule (junction rule) valid at each plate of the capacitor? Explain.

    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. .

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