Low voltage power system: you want to "supercharge"1 your brand new tesla model 3 at a rate of 100 kw at home. for safety reasons, you chose a 5 v direct current (dc) voltage source. a) calculate the required current. b) assuming a cylindrical conductor with a current density of 10 a/mm2 , what diameter conductor would you need? c) assuming copper with a resistivity of rhocu = 1.67×10−8 ωm and a cable length

(a) 20 kA (B) (c) length = 29.94 m

Explanation:

We have given power P = 100 KW

Voltage V = 5 V

Current density

(A) We have to calculate current

We know that power P = voltage × current

So

(b) We know that current density is given by

Current density

So

We know that

(c) We have to find the length of the cable

We know that resistance

Resistance is given by

So

l = 29.94 m

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