In the circuit shown in the diagram below, two thick wires connect a 1.6 volt ba

Question

In the circuit shown in the diagram below, two thick wires connect a 1.6 volt battery to a Nichrome (NiCr) wire. Each thick connecting wire is 14 cm long, and has a radius of 10 mm. The thick wires are made of copper, which has 8.36e+28 mobile electrons per cubic meter, and an electron mobility of 0.00434 (m/s)/(V/m). The Nichrome wire is 6 cm long, and has a radius of 3 mm. Nichrome has 9e+28 mobile electrons per cubic meter, and an electron mobility of 7e-05 (m/s)/(V/m). What is the magnitude of the electric field in the thick copper wire? V/m What is the magnitude of the electric field in the thin Nichrome wire? V/m

Explanation / Answer

the potential difference across the two wires is V = 1.6 volt

let the electric field on the two wires be E1 and E2

we know that

E1 = (V/d1)

and E2 = (V/d2)

where d1 = 2 x 10 mm = 20 mm = 20 x 10^-3 m and d2 = 2 x 3 mm = 6 mm = 6 x 10^-3 m

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