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A copper wire of radius 0.1 mm and resistance 1 kΩ is connected across a power supply of 20 V. (a) How many electrons are transferred per second between the supply and the wire at one end? (b) Write down the current density in the wire.

Hrishant Goswami , 10 Years ago
Grade 10
anser 1 Answers
Jitender Pal

Last Activity: 10 Years ago

Sol. r = 0.1 mm = 10^-4 R = 1 KΩ = 10^3 Ω, V = 20 V a) No.of electrons transferred i = V/R = 20/10^3 = 20 * 10^-3 = 2 * 10^-2 A q = i t = 2 * 10^-2 * 1 = 2 * 10^-2 C. No. of electron transferred = 2 * 10^-2/1.6 * 10^-19 = 2 * 10^-17/1.6 = 1.25 * 10^17. b)Current density of wire = i/A = 2 * 10^-2/π * 10^10^-8 = 2/3.14 * 10^+6 0.6369 * 10^+6 = 6.37 * 10^5 A/m^2.

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