A steady current flows in a metallic conductor of non-uniform cross-section. Which of the following quantities is constant along the conductor?

Question

A steady current flows in a metallic conductor of non-uniform cross-section. Which of the following quantities is constant along the conductor? (A) Drift speed (B) Current (C) Current density (D) None of these

Tardigrade Admin · Accepted Answer

When a steady current flows through a metallic conductor of non-uniform cross-section, then drift velocity

V_{d} = \frac{I}{enA}

or

V_{d} \propto \frac{1}{A}

E = \frac{I}{σ A}

or

E \propto \frac{1}{A}

Both

V_{d}

and

E

change with

A

, only current

I

remains constant.

Q. A steady current flows in a metallic conductor of non-uniform cross-section. Which of the following quantities is constant along the conductor?

Drift speed

Current

Current density

None of these

When a steady current flows through a metallic conductor of non-uniform cross-section, then drift velocity Vd​= enA I​ or Vd​∝A1​ E=σAI​ or E∝A1​ Both Vd​ and E change with A, only current I remains constant.

When a steady current flows through a metallic conductor of non-uniform cross-section, then drift velocity
$V_{d} = \frac{I}{enA}$ or $V_{d} \propto \frac{1}{A}$
$E = \frac{I}{σ A}$ or $E \propto \frac{1}{A}$
Both $V_{d}$ and $E$ change with $A$ , only current $I$ remains constant.