Find the current density of a material with resistivity 20 units and electric field intensity 2000 units.a)400b)300c)200d)100Correct answer is option 'D'. Can you explain this answer?

Question

Accepted Answer

Answer: d
Explanation: The current density is given by J = σ E, where σ is the conductivity. Thus resistivity ρ = 1/σ. J = E/ρ = 2000/20 = 100 units.

Answer

Given data:
- Resistivity (ρ) = 20 units
- Electric field intensity (E) = 2000 units

Formula:
The current density (J) can be calculated using the formula:
J = σ * E

Explanation:

1. Resistivity:
Resistivity (ρ) is a measure of how strongly a material opposes the flow of electric current. It is denoted by the symbol ρ and is measured in ohm-meters.

2. Electric Field Intensity:
Electric field intensity (E) is a vector quantity that describes the strength of an electric field at a given point. It is measured in units of volts per meter (V/m).

3. Current Density:
Current density (J) is the amount of current flowing through a unit area of a material. It is a vector quantity and is denoted by the symbol J. The unit of current density is amperes per square meter (A/m^2).

Calculation:
Given resistivity (ρ) = 20 units and electric field intensity (E) = 2000 units
We know that conductivity (σ) = 1/ρ
So, conductivity (σ) = 1/20 = 0.05
Now, substitute the values of σ and E into the formula:
J = σ * E
J = 0.05 * 2000
J = 100 A/m^2
Therefore, the current density of the material is 100 A/m^2, which corresponds to option 'D'.

Similar Electrical Engineering (EE) Doubts

Find the current density of a material with resistivity 20 units and electric field intensity 2000 units.

Calculate the conduction current density when the resistivity of a material with an electric field of 5 units is 4.5 units.

Find the electric flux density surrounding a material with field intensity of 2xyz placed in transformer oil ( εr = 2.2) at the point P(1,2,3) is(in 10-10units)

Compute the conductivity when the current density is 12 units and the electric field is 20 units. Also identify the nature of the material.

Calculate the conduction density of a material with resistivity of 0.02 units and electric intensity of 12 units.

Top Courses for Electrical Engineering (EE)View all

Network Theory (Electric Circuits)

GATE Electrical Engineering (EE) Mock Test Series 2025

General Aptitude for GATE

GATE Notes & Videos for Electrical Engineering

Engineering Mathematics

Top Courses for Electrical Engineering (EE)

Top Courses for Electrical Engineering (EE)

Suggested Free Tests

Related Content

Mock Test Series

Subject-wise Courses

Subject-wise Courses

Other Engg Branches

Company