Electric Field Strength Calculator

Electric field strength is a fundamental concept in physics that defines the force experienced by a unit positive charge at a particular point in an electric field. Understanding and calculating electric field strength is essential for students, engineers, and scientists working with electromagnetism, electronics, and physics. To simplify the process, we have developed an easy-to-use Electric Field Strength Calculator that provides accurate results instantly.

This calculator is designed to assist users in solving complex equations and performing calculations with ease. Whether you're a student learning about electric fields or a professional analyzing electromagnetic fields, this tool is perfect for your needs.

What is Electric Field Strength?

Electric field strength is the measure of the intensity of an electric field at a specific point. It is defined as the force per unit charge exerted on a test charge in the field. The electric field strength is represented by the symbol E and is a vector quantity, meaning it has both magnitude and direction.

The unit of electric field strength in the International System of Units (SI) is newtons per coulomb (N/C) or volts per meter (V/m).

The formula for Electric Field Strength

The formula to calculate electric field strength depends on the situation:

With Force and Charge

$$E=\frac{F}{q}$$

Where:

• $E$ = Electric field strength (N/C or V/m)
• $F$ = Force on the charge (N)
• $q$ = Charge (C)

With Voltage and Distance

$$E=\frac{V}{d}$$

Where:

• $E$ = Electric field strength (V/m)
• $V$ = Voltage (V)
• $d$ = Distance between the plates or points (m)

Electric Field Strength of a Point Charge

$$E = \frac{k \cdot |Q|}{r^2}$$

Where:

• $E$ = Electric field strength (N/C)
• $k$ = Coulomb's constant ($8.9875 \times 10^9 \, \text{N·m}^2/\text{C}^2$)
• $Q$ = Source charge (C)
• $r$ = Distance from the source charge (m)

How to Use the Electric Field Strength Calculator

Using our calculator is simple and user-friendly. Follow these steps to calculate electric field strength:

1. Select the calculation type based on the formula you want to use: Force and Charge, Voltage and Distance, or Point Charge.
2. Enter the values in the input fields.
3. Click the "Calculate" button to get the result.
4. The output will display the electric field strength along with the relevant units.

Electric Field Strength Examples

Example 1: Using Force and Charge

If a charge of $q = 2 \, \text{C}$ experiences a force of $F = 10 \, \text{N}$, the electric field strength is:

$$E=\frac{F}{q}=\frac{10}{2}=5\text{N/C}$$

Example 2: Using Voltage and Distance

If the potential difference is $V = 200 \, \text{V}$ and the distance between the plates is $d = 0.5 \, \text{m}$, the electric field strength is:

$$E=\frac{V}{d}=\frac{200}{0.5}=400\text{V/m}$$

Example 3: Using Point Charge

For a point charge of $Q = 5 \times 10^{-6} \, \text{C}$ located $r = 0.2 \, \text{m}$ away:

$$E=\frac{k\cdot \mathrm{\mid }Q\mathrm{\mid }}{r^2}=\frac{8.9875\times 10^9\cdot 5\times 10^{-6}}{(0.2{)}^2}=1.12\times 10^6\text{N/C}$$

Electric Field Strength Table

Final Verdict

Our Electric Field Strength Calculator is a versatile tool that simplifies calculations for electric field strength in various scenarios. By providing the input values, you can instantly determine the intensity of the electric field with accurate results.

Whether you're working with force, charge, voltage, or point charges, this calculator eliminates the complexity of manual calculations, making it an essential tool for physics students, engineers, and researchers.

FAQs

What is the unit of electric field strength?

The SI unit of electric field strength is newtons per coulomb (N/C) or volts per meter (V/m).

How do you calculate electric field strength?

Electric field strength can be calculated using formulas like $E = F/q$, $E = V/d$, or $E = k \cdot Q / r^2$, depending on the context.

Can I calculate the electric field between parallel plates?

Yes, the formula $E = V/d$ is used to calculate the electric field strength between parallel plates where $V$ is the voltage and $d$ is the distance.

Is the electric field strength a scalar or vector quantity?

Electric field strength is a vector quantity. It has both magnitude and direction, with the direction being the force direction experienced by a positive test charge.