Q.

The rod given in the figure is made of two different materials. Both have square cross-section of side 3mm. The resistivity of the first material is 4x10-3Ω-m and it is 25cm long while that of the second material is 5x10-3Ω-m and is of length 70cm. The equivalent resistivity of the rod between its ends is __________×103Ωm(roundoff to nearest integer)

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answer is 4.74.

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Detailed Solution

ρeq=ρ1l1+ρ2l2l1+l2

ρeq=4x10-3.25+5x10-3.7025+70=4.74x10-3Ω-m5x10-3Ω-m

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The rod given in the figure is made of two different materials. Both have square cross-section of side 3mm. The resistivity of the first material is 4x10-3Ω-m and it is 25cm long while that of the second material is 5x10-3Ω-m and is of length 70cm. The equivalent resistivity of the rod between its ends is __________×10−3Ω−m(roundoff to nearest integer)