Below, a rectangular solid is made of carbon with sides 2.00 cm, 8.00 cm and 4.0

Question

Below,  a rectangular solid is made of carbon with sides 2.00 cm, 8.00 cm and 4.00 cm  lying on the x, y and x axes in that order. The resistivity is ? = 3.10x10-5 ohm-m.  Current is allowed to pass in the x direction,  y-direction or  z-direction only.  For each possible current direction, you connect wires from a battery  across the two opposite faces perpendicular  to the current.

Determine the resistance R for  current that passes along the  

(a) x direction,

(b) y direction,

(c) z direction.

For the next two parts, assume for  each possible current direction, the same voltage difference V is placed across the two opposite faces perpendicular  to that current.

(d) Which current is the largest,   current in x-direction, current in y-direction or current in z-direction? Explain.
(e) Which current is the smallest ,  current in x-direction, current in y-direction or current in z-direction? Explain.

Below, a rectangular solid is made of carbon with sides 2.00 cm, 8.00 cm and 4.00 cm lying on the x, y and x axes in that order. The resistivity is ? = 3.10x10 - 5 ohm - m. Current is allowed to pass in the x direction, y - direction or z - direction only. For each possible current direction, you connect wires from a battery across the two opposite faces perpendicular to the current. Determine the resistance R for current that passes along the x direction, y direction, z direction. For the next two parts, assume for each possible current direction, the same voltage difference V is placed across the two opposite faces perpendicular to that current. Which current is the largest, current in x - direction, current in y - direction or current in z - direction? Explain. Which current is the smallest , current in x - direction, current in y - direction or current in z - direction? Explain

Explanation / Answer

a) In X direction

Since R=( ?L)/A

(3.10x10-5 ohm-m X 0.02m) / (0.08m X 0.04m)

= 1.9375x10-4 ohm

b) Y direction

(3.10x10-5 ohm-m X 0.08m) / (0.02m X 0.04m)

= 3.1x10-3 ohm

c) Z direction

(3.10x10-5 ohm-m X 0.04m) / (0.08m X 0.02m)

= 7.75x10-4 ohm

d)Since resistance is minimum in X direction Current is maximum here

e)Resistance is maximum in Y direction . Hence minimum current here

Related Questions

Navigate

• Browse (All)
• Browse B
• Subjects

---

---

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