Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Current in Conductors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current in Conductors

Determine the electric field within a copper wire that has a...

Determine the electric field within a copper wire that has a cross-sectional area of 2.0 mm22.0 \text{ mm}^2 and carries a current of 1 A1 \text{ A}. The resistivity of copper is 1.7×10−8Ω m1.7 \times 10^{-8} \Omega \text{ m}.

Options

  1. A0.085 V/m0.085 \text{ V/m}
  2. B0.0085 V/m0.0085 \text{ V/m}
  3. C8.5×10−6 V/m8.5 \times 10^{-6} \text{ V/m}
  4. D0.017 V/m0.017 \text{ V/m}

Correct answer

B. 0.0085 V/m0.0085 \text{ V/m}

Step-by-step solution

Given, cross-sectional area A=2.0 mm2=2.0×10−6 m2A = 2.0 \text{ mm}^2 = 2.0 \times 10^{-6} \text{ m}^2
Current I=1 AI = 1 \text{ A}
Resistivity ρ=1.7×10−8Ω m\rho = 1.7 \times 10^{-8} \Omega \text{ m}

Using the relation between electric field, resistivity, and current density:
E=ρJE = \rho J

Since J=IAJ = \dfrac{I}{A}, we have:
E=ρ(IA)<br><br>Substitutingthegivenvalues:<br>E = \rho \left(\dfrac{I}{A}\right)<br><br>Substituting the given values:<br>E = 1.7×10−8×12.0×10−6<br><br>\dfrac{1.7 \times 10^{-8} \times 1}{2.0 \times 10^{-6}}<br><br>E = 0.85 \times 10^{-2} \text{ V/m}<br><br><br><br>E = 0.0085 \text{ V/m}
Practice Electric Current in Conductors on Quantrex Academy →

More from Electric Current in Conductors

The amount of charge passing through a cross-section of a wire in time t is given by Q(t)… Concepts Of Physics MCQ Edition [Volume 2]A discharge tube carries an electric current of 2.0 . Determine the amount of charge that… Concepts Of Physics MCQ Edition [Volume 2]The current flowing through a wire varies with time according to i = i_0 + α t , where… Concepts Of Physics MCQ Edition [Volume 2]A copper wire with a cross-section of 1.0 mm^2 carries a current of 1.0 A . Determine the… Concepts Of Physics MCQ Edition [Volume 2]An electron gun releases 2.0 × 10^ 16 electrons per second. Determine the electric… Concepts Of Physics MCQ Edition [Volume 2]The amount of charge passing through a cross-section of a wire in time t is Q(t) = At^2 +… Concepts Of Physics MCQ Edition [Volume 2]A uniform wire having a resistance of 100 Ω is melted and recast into a new wire whose… Concepts Of Physics MCQ Edition [Volume 2]Determine the required length of a copper wire having a cross-sectional area of 0.01 mm^2… Concepts Of Physics MCQ Edition [Volume 2] Full Electric Current in Conductors list All Concepts Of Physics MCQ Edition [Volume 2] PYQs