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Chapter 19: Q46PE (page 698)

What charge is stored in a 180渭贵capacitor when 120Vis applied to it?

Short Answer

Expert verified

The amount of charge stored in a 180渭贵capacitor when 120V is applied to it, is Q=21.6mC.

Step by step solution

01

Given Data

Capacitance of capacitor isC=180渭贵

Potential difference is V = 120V

02

Concept Introduction

Capacitors: A pair of conductors separated by a dielectric, when charged, charges of equal magnitude Q and opposite sign accumulate on the two conductors, and the potential so developed 鈭�Vis directly proportional to the capacitance if charge is kept constant. The capacitance is given as-

C=Q螖痴...(1)

03

Calculation for Charge Stored

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

Q=C螖痴

Entering the values for C and鈭�V, it is obtained 鈥�

Q=(180脳10-6F)(120V)=21.6脳10-3C=(21.6脳10-3C)(103mC1C)=21.6mC

Therefore, the charge stored is Q=21.6mC.

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