SOLUTION: The electrical resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a 100 meter wire having a diameter of 1/2 c

Question 32160: The electrical resistance, R, of a wire varies directly as its length and inversely as the square of its diameter. If the resistance of a 100 meter wire having a diameter of 1/2 cm. is 0.75 ohms, find the resistance of a 300 meter wire with a diameter of 1/4 cm.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
R=k/d^2
Need to find "k".
0.75=k/(1/2)^2
0.75(1/4)=k
k=(3/16)
EQUATION:
R=(3/16)/d^2
If d=1/4 find R.
R=(3/16)/(1/4)^2
R=3 ohms
Cheers,
Stan H.
RELATED QUESTIONS
The electrical resistance R of a wire varies directly as its length L and inversely as... (answered by Nate)

The electrical resistance R of a wire varies directly as its length L and inversely as... (answered by psbhowmick)

a wire of length 20 m and diameter 0.6 cmTHE ELECTRICAL RESISTANCE r OF A WIRE VARIES... (answered by uma)

ELECTRICAL RESISTANCE: The electrical resistance of a wire, R, varies directly as its... (answered by lwsshak3)

The electrical resistance of a wire varies directly as its length and inversely as the... (answered by ankor@dixie-net.com)

The resistance, R, of a wire varies directly as its length and inversely as the square of (answered by Fombitz)

The electrical resistance of a wire varies directly as its length and inversely as the... (answered by josmiceli,ankor@dixie-net.com)

The electrical resistance of a wire varies directly as its length and inversely as the... (answered by rfer)

The electrical resistance of a wire varies directly as its length and inversely as the... (answered by TimothyLamb)