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What charge is stored in the capacitor in Example 19.8?

Short Answer

Expert verified

The amount of charge stored in a capacitor when 3.00×103V is applied to it, is Q=26.6μ°ä .

Step by step solution

01

Given data

Area of plates (A) = 1.00 m2

Separation between plates (d) = 1.00 mm

Voltage between the plates (V) = 3.00 x 103V

02

Concept Introduction

The ability of any capacitor to store energy in the form of electric field is known as Capacitance. The capacitanceC is given as –

C=QΔ³Õ.....................(1)

Here Q is the charge accumulated at the plates and ∆Vis the potential difference between the plates.

03

Calculation for Charge Stored

The charge stored in the capacitor is found by solving Equation (1) for Q –

Q=C×Δ³Õ

Entering the values for C and ∆V, it is obtained –

Q=(8.85×10-9F)(3.00×103V)=26.6×10-6C=(26.6×10-6C)(106μ°ä1C)=26.6μ°ä

Therefore, the charge stored is Q=26.6μ°ä.

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