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Consider a wire of length 0.1 m with an ...

Consider a wire of length 0.1 m with an area fo cross section `1 mm^2` connected to 5V. Find the current flowing through the metallic wire where `mu = 5xx10^(-6) m^2`
`V_1 s^(-1), e = 1.6xx10^(-19) C, and n = 8xx10^(28) m^(-3).`

Text Solution

Verified by Experts

Given `A =1 m^2 = 10^(-6), I = 0.1 m, V = 5V`
Due to the applied potential difference across the wire, an
electric field is set up in the conductor. So
`E = (V)/(I) = (5)/(0.1) = 50V mk^(-1)`
The current flowing through the wire is given by
`I = n Aev_d = n Ae mu Eb ["where", mu = v_d //E]`
`=8xx 10 ^(28)xx10^(-6)xx1.6xx5xx10^(-6)xx50 = 3.2 A`
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