Voltage Calculator Parallel Plates Current

Current Equation:

\[ I = \sigma \times E \times A \]

Conductivity (σ):

S/m

Voltage (V):

Distance (d):

Area (A):

m²

Current (I):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What Is The Parallel Plates Current Equation?

The parallel plates current equation calculates the electric current flowing between two parallel conductive plates with a voltage applied. The formula is based on Ohm's law and the relationship between electric field and voltage.

2. How Does The Calculator Work?

The calculator uses the current equation:

\[ I = \sigma \times E \times A \]

Where:

\( I \) — Current (amperes)
\( \sigma \) — Conductivity (S/m)
\( E \) — Electric field (V/m), calculated as \( E = V/d \)
\( A \) — Area (m²)
\( V \) — Voltage (V)
\( d \) — Distance between plates (m)

Explanation: The equation calculates current flow through a conductive material between parallel plates based on material conductivity, applied voltage, plate separation, and plate area.

3. Importance Of Current Calculation

Details: Accurate current calculation is essential for designing electrical circuits, capacitors, and parallel plate configurations. It helps determine power consumption, heat generation, and system efficiency.

4. Using The Calculator

Tips: Enter conductivity in S/m, voltage in volts, distance in meters, and area in square meters. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What Is The Relationship Between Voltage And Electric Field?
A: The electric field (E) between parallel plates is directly proportional to the voltage (V) and inversely proportional to the distance between plates (d): E = V/d.

Q2: How Does Conductivity Affect Current?
A: Higher conductivity materials allow more current to flow for the same electric field and area, as current is directly proportional to conductivity.

Q3: What Are Typical Conductivity Values?
A: Conductivity varies widely: copper ~5.96×10⁷ S/m, seawater ~5 S/m, distilled water ~5×10⁻⁶ S/m, rubber ~10⁻¹³ S/m.

Q4: Does This Equation Apply To All Materials?
A: This equation applies to ohmic materials where current is directly proportional to electric field. It may not apply to non-ohmic materials like semiconductors.

Q5: How Does Plate Area Affect Current?
A: Current is directly proportional to plate area - larger plates allow more current to flow for the same electric field and conductivity.