Chapter 19: Q46PE (page 698)

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

Short Answer

Expert verified

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

Step by step solution

Given Data

Capacitance of capacitor is $C = 180 μF$

Potential difference is V = 120V

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 $∆ V$ is directly proportional to the capacitance if charge is kept constant. The capacitance is given as-

$C = \frac{Q}{ΔV} . . . (1)$

Calculation for Charge Stored

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

$Q = CΔV$

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

$\begin{array}{rcl} Q & = & (180 \times 10^{- 6} F) (120 V) \\ = & 21.6 \times 10^{- 3} C \\ = & (21.6 \times 10^{- 3} C) (\frac{10^{3} mC}{1 C}) \\ = & 21.6 mC \end{array}$

Therefore, the charge stored is $Q = 21.6 mC$ .

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

Short Answer

Step by step solution

Given Data

Concept Introduction

Calculation for Charge Stored

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

Short Answer

Step by step solution

Given Data

Concept Introduction

Calculation for Charge Stored

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Particle Model of Matter

Linear Momentum

Energy Physics

Magnetism

Wave Optics

Magnetism and Electromagnetic Induction

Study anywhere. Anytime. Across all devices.

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