Chapter 21: Q1CP (page 870)

In Figure 21.15 the magnitude of the electric field is $1000 V/m$ , and the field is at an angle of $30^{o}$ to the outward-going normal. What is the flux on the small rectangle whose dimensions are $1 mm$ by $2 mm$ ?

Short Answer

Expert verified

$1.732 \times 10^{- 3} Vm$

Step by step solution

Identification of given data

Magnitude of the electric field is $|\vec{E}| = 1000 V/m$

Area of rectangle is $Δ A = 1 mm \times 2 mm or 2 \times 10^{- 6} m^{2}$

The field is at an angle of $θ = 30^{o}$

Significance of electric flux

The number of electric lines of force (or electric field lines), a characteristic of an electric field, that cross a specific area is known as electric flux.

$ϕ = |\vec{E}| \times Δ A \times \cos θ$

Determining the flux on the small rectangle whose dimensions are1 mm by 2 mm

Using equation (i)

$\begin{array}{rcl} ϕ & = & |\vec{E}| \times Δ A \times \cos θ \\ = & 1000 V/m \times 2 \times 10^{- 6} m^{2} \times \cos 30^{o} \\ = & 1.732 \times 10^{- 3} Vm \end{array}$

Hence the flux on the small rectangle is $1.732 \times 10^{- 3} Vm$

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In Figure 21.15 the magnitude of the electric field is $1000 V/m$ , and the field is at an angle of $30^{o}$ to the outward-going normal. What is the flux on the small rectangle whose dimensions are $1 mm$ by $2 mm$ ?

Short Answer

Step by step solution

Identification of given data

Significance of electric flux

Determining the flux on the small rectangle whose dimensions are1 mm by 2 mm

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In Figure 21.15 the magnitude of the electric field is 1000 V/m, and the field is at an angle of 30oto the outward-going normal. What is the flux on the small rectangle whose dimensions are 1 mmby2 mm ?

Short Answer

Step by step solution

Identification of given data

Significance of electric flux

Determining the flux on the small rectangle whose dimensions are1 mm by 2 mm

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Atoms and Radioactivity

Further Mechanics and Thermal Physics

Fundamentals of Physics

Geometrical and Physical Optics

Translational Dynamics

Study anywhere. Anytime. Across all devices.

In Figure 21.15 the magnitude of the electric field is $1000 V/m$ , and the field is at an angle of $30^{o}$ to the outward-going normal. What is the flux on the small rectangle whose dimensions are $1 mm$ by $2 mm$ ?