  # C-LpLc31

Question

Wire C and wire D are made from different materials and have length LC = LD = 3.1 m. The resistivity and diameter of wire C are 3.3 × 10-6 Ω·m and 1.03 mm, and those of wire D are 1.2 × 10-6 Ω·m and 0.72 mm. The wires are joined as shown in the figure and a current of 2.6 A is set up in them. What is the electric potential difference between (a) points 1 and 2 and (b) points 2 and 3? What is the rate at which energy is dissipated between (c) points 1 and 2 and (d) points 2 and 3?

check_circleExpert Solution
Step 1

The electric potential difference between point 1 and 2 is the potential drop in wire C.

Write the expression for resistance of a circular wire C

Here, RC is the resistance of the wire C, ρC is its resistivity, LC is its length and dC is its diameter.

Substitute 3.3×10-6 Ω·m for ρC, 3.1 m for LC and 1.03 mm for dC

Step 2

Write the expression for potential drop in wire C

Here, VC is the potential drop in wire C and iC is the current flowing through it.

Step 3

Substitute 12.27 Ω for RC and 2.6 A for iC in equation (I) to find VC

Thus, the electric poten...

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