A displacement current of 4.0 A can be set up in the space between two parallel plates of capacitor

Question

A displacement current of 4.0 A can be set up in the space between two parallel plates of $6 μ F$ capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $α \times 10^{6} V / s$ . The value of $α$ is ______. [2026]

Smart Achievers · Accepted Answer

(2)

$I_{d} = C \frac{d V}{d t}$

$4 = (6 \times 10^{- 6}) (α \times 10^{6})$

$α = \frac{2}{3} \approx 0.67$

Solution

Q.
A displacement current of 4.0 A can be set up in the space between two parallel plates of $6 μ F$ capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $α \times 10^{6} V / s$ . The value of $α$ is ______. [2026]

1 0.58

2 0.67

3 0.82

4 0.75

Ans.
(2)

$I_{d} = C \frac{d V}{d t}$

$4 = (6 \times 10^{- 6}) (α \times 10^{6})$

$α = \frac{2}{3} \approx 0.67$

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