A rod of a certain metal is $$1.0$$ m long and $$0.6$$ cm in diameter. Its resistance is $$3.0$$ × $$10$$−$$3$$ ohm. Another disc made of the same metal is $$2.0$$ cm in diameter and $$1.0$$ mm thick. What is the resistance between the round faces of the disc?

Question

A rod of a certain metal is $$1.0$$ m long and $$0.6$$ cm in diameter. Its resistance is $$3.0$$ × $$10$$−$$3$$  ohm. Another disc made of the same metal is $$2.0$$ cm in diameter and $$1.0$$ mm thick. What is the resistance between the round faces of the disc?

Infinity Learn · Accepted Answer

Resistivity of the material of the $$rod8.10$$ × $$10$$−$$5$$  ohmρ$$=RAl$$ $$=$$ $$3$$×$$10$$−$$3$$π $$3$$×$$10$$−$$221$$ $$=$$ $$27$$×$$10$$−$$9$$ πΩmResistance of disc $$R=$$ρ ThicknessArea  of  cross  $$section=$$ $$27$$ × $$10$$−$$19$$ π  ×   $$10$$−$$3$$π  × $$1$$ × $$10$$−$$22$$ $$=$$ $$2.7$$ × $$10$$−$$7$$ Ω

A rod of a certain metal is 1.0 m long and 0.6 cm in diameter. Its resistance is $3.0 \times 10^{- 3} o h m .$ Another disc made of the same metal is 2.0 cm in diameter and 1.0 mm thick. What is the resistance between the round faces of the disc?

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A rod of a certain metal is 1.0 m long and 0.6 cm in diameter. Its resistance is 3.0 × 10−3 ohm. Another disc made of the same metal is 2.0 cm in diameter and 1.0 mm thick. What is the resistance between the round faces of the disc?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A rod of a certain metal is 1.0 m long and 0.6 cm in diameter. Its resistance is $3.0 \times 10^{- 3} o h m .$ Another disc made of the same metal is 2.0 cm in diameter and 1.0 mm thick. What is the resistance between the round faces of the disc?