Wire C and wire D are made from different materials and have length LC = LD = 1.

Question

Wire C and wire D are made from different materials and have length LC = LD = 1.0 m. The resistivity and diameter of wire C are 2.00 times 10-6 ohm·m and 1.80mm, and those of wire D are 9.00 times 10-7 ohm·m and 0.70 mm. The wires are joined as shown in in the figure, and a current of 2.0 A is set up in them. What is the electric potential difference between points 1 and 2? ... V What is the electric potential difference between points 2 and 3? ... V What is the rate at which energy is dissipated between points 1 and 2? ... W What is the rate at which energy is dissipated between points 2 and 3? ... W

Explanation / Answer

resistance of first wire=2*10^-6*1*4/(pi*(1.8*10^-3)^2)

=0.785 ohm

and of second wire

R=rho*l/A

=2.33 ohm

a.) potential V=I*R1

=1.57 V

b.) V=I*R2

=4.66 V

c.)P=I^2*R1

=3.15 W

d.)P=I^2*R2

=9.32 W ans

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