Q30P How much energy is stored in 1.0... [FREE SOLUTION]

Chapter 25: Q30P (page 742)

How much energy is stored in $1.00 m^{3}$ of air due to the 鈥渇air weather鈥� electric field of magnitude 150 V/m?

Short Answer

Expert verified

The energy stored in $1.00 m^{3}$ of air due to the 鈥渇air weather鈥� electric field of magnitude 150 V/m is $9.96 脳 10^{- 8} J$ .

Step by step solution

The given data

a) Volume of air, $V = 1.00 m^{3}$

b) Magnitude of electric field,E =150 V/m

Understanding the concept of the stored energy

We need to use the equation of the energy density and the energy stored per unit volume in the magnitude E of the electric field. Using the given formulae, we can get the required value of the stored energy.

Formulae:

The energy density of an electric field, $u = \frac{1}{2} 蔚_{0} E^{2}$ ...(i)

The energy stored per unit volume in the electric field, $u = \frac{U}{V}$ ...(ii)

Step 3: Calculation of the stored energy

Using equations (i) and (ii), we can get the energy stored in the electric field as follows: ( $蔚_{0} = 8.85 脳 10^{- 12} \frac{C^{2}}{N . m^{2}}$ is permittivity of free space)

$U = \frac{1}{2} 蔚_{0} E^{2} V = \frac{1}{2} (8.85 脳 10^{- 12} \frac{C^{2}}{N . m^{2}}) {(150 \frac{V}{m})}^{2} (1.00 m^{3}) = 9.96 脳 10^{- 8} J$

Hence, the value of the stored energy is $9.96 脳 10^{- 8} J$ .

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91影视

How much energy is stored in $1.00 m^{3}$ of air due to the 鈥渇air weather鈥� electric field of magnitude 150 V/m?

Short Answer

Step by step solution

The given data

Understanding the concept of the stored energy

Step 3: Calculation of the stored energy

One App. One Place for Learning.

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91影视

How much energy is stored in 1.00m3of air due to the 鈥渇air weather鈥� electric field of magnitude 150 V/m?

Short Answer

Step by step solution

The given data

Understanding the concept of the stored energy

Step 3: Calculation of the stored energy

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Nuclear Physics

Radiation

Magnetism

Work Energy and Power

Further Mechanics and Thermal Physics

Fields in Physics

Study anywhere. Anytime. Across all devices.

How much energy is stored in $1.00 m^{3}$ of air due to the 鈥渇air weather鈥� electric field of magnitude 150 V/m?