Chapter 31: Q. 8 (page 901)

Show that the displacement current inside a parallel-plate capacitor can be written $C (\frac{{dVC}_{c}}{dt})$ .

Short Answer

Expert verified

Displacement current inside a parallel plate capacitor can be written as: $I_{d} = C \frac{d V c}{d t}$

Step by step solution

Given Information:

We have been given a parallel plate capacitor and we need to write the equation of displacement current for it.

Solving

The general equation for displacement current for a parallel plate capacitor is given by:

$I_{d} = ε_{o} (\frac{d Φ_{e}}{d t})$ equation 1

Also, it is known:

$Φ_{e} = \frac{Q}{ε_{o}}$

localid="1649863179586" $Φ_{e} ε_{o} = Q = V_{C} C$ equation 2

Combining the values of $Φ_{e}$ in equations 1 and 2.

$I_{d} = \frac{d}{d t} (ε_{o} Φ_{e})$

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

Hence, Proved.

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Show that the displacement current inside a parallel-plate capacitor can be written $C (\frac{{dVC}_{c}}{dt})$ .

Short Answer

Step by step solution

Given Information:

Solving

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Show that the displacement current inside a parallel-plate capacitor can be written CdVCcdt.

Short Answer

Step by step solution

Given Information:

Solving

One App. One Place for Learning.

Most popular questions from this chapter

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Show that the displacement current inside a parallel-plate capacitor can be written $C (\frac{{dVC}_{c}}{dt})$ .