A current of $5 \mathrm{~A}$ is passing through a non-linear magnesium wire of cross-section $0.04 \mathrm{~m}^{2}$. At every point the direction of current density is at an angle of $60^{\circ}$ with the unit vector of area of cross-section. The magnitude of electric field at every point of the conductor is:
(Resistivity of magnesium $\rho=44 \times 10^{-8} \Omega \mathrm{m}$ )
$11 \times 10^{-2} \mathrm{~V} / \mathrm{m}$
$11 \times 10^{-7} \mathrm{~V} / \mathrm{m}$
$11 \times 10^{-5} \mathrm{~V} / \mathrm{m}$
$11 \times 10^{-3} \mathrm{~V} / \mathrm{m}$
Correct Option: , 3
$\mathrm{I}=\overrightarrow{\mathrm{J}} \cdot \overrightarrow{\mathrm{A}}=\mathrm{JA} \cos (\theta)$
$5=J\left(\frac{4}{100}\right) \times \cos (60)$
$\mathrm{J}=5 \times 50=250 \mathrm{~A} / \mathrm{m}^{2}$
Now, $\overrightarrow{\mathrm{E}}=\rho \cdot \overrightarrow{\mathrm{J}}$
$=44 \times 10^{-8} \times 250=11 \times 10^{-5} \mathrm{~V} / \mathrm{m}$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,