4.) A commonly used electrical circuit uses a wire with a varying circular cross

Question

4.) A commonly used electrical circuit uses a wire with a varying circular cross section, as shown. The thick parts of the wire (regions A and C) are made of conductivity , diameter D1 and length L. The thin region (region B) has the same conductivity , and the same length L, but diameter D2 « Dl. The two ends are connected to a battery with constant voltage V such that the entire conductor is in steady-state condition. a) Which region of the wire (if any) has the largest volume current density? Briefly, explain. b) Which region (if any) has the largest electric field magnitude? Briefly, explain. c) Which region (if any) had the largest power dissipated? Briefly, explain. nonterrd amund a very long solenoid with n turns per length

Explanation / Answer

Volume current density means current flowing per unit volume. Means less the volume, more the volume current density--region B

Electric field is directly proportional to conductivity. All regions have same conductivity hence they will have same electric field.

Power dissipation is directly proportional to resistance. Resistance is inversely proportional to area of cross-section,B region has the lowest area .it will have highest resistance so will have largest power dissipation among the 3.

P=I2Rt

R=L/A

Related Questions

Navigate

• Browse (All)
• Browse 4
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.