Question #315042

A given wire has a resistance of 32 ohms. If its length is 872 m., how much length must be


cut-off from the wire in order to reduce its resistance to 13.4 ohms?

1
Expert's answer
2022-03-21T12:45:03-0400

We know that

Resistance

R=ρlAR=\frac{\rho l}{A}

R1=ρl1AR_1=\frac{\rho l_1}{A}

Case (2)

R2=ρl2AR_2=\frac{\rho l_2}{A}

R1R2=l1l2\frac{R_1}{R_2}=\frac{l_1}{l_2}

l2=R2R1l1l_2=\frac{R_2}{R_1}l_1

l2=13.432×872=365.15ml_2=\frac{13.4}{32}\times872=365.15m



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