Question

An electrician finds that a 0.6 m length of a certain type of wire has a resistance of 0.13 Ω . What is the total resistance of the 187 m of this wire he plans to use? Answer in units of Ω

Answer 1

Step-by-step explanation:

For resistance the formula is as follows

R = ρ L/S

where L is length of the wire , ρ is a constant for a specific material called specific resistance and S is cross sectional area .

For 0.6 m wire , putting the values

.13 = ρ x 0.6 / S

For unknown wire

R = ρ x 187 / S

Dividing the two equations

R / .13 = 187 / .6

R = (.13 x 187) / .6

= 40.5 ohms .