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A copper wire of cross-sectional area 2.40 10 -6 m 2 and length 3.80 m has a cur

ID: 1284954 • Letter: A

Question

A copper wire of cross-sectional area 2.40 10-6 m2 and length 3.80 m has a current of 2.40 A uniformly distributed across that area. (a) What is the magnitude of the electric field along the wire? (b) How much electrical energy is transferred to thermal energy in 30.0 min?

(a) Number Units A copper wire of cross-sectional area 2.40 10^-6 m^2 and length 3.80 m has a current of 2.40 A uniformly distributed across that area. (a) What is the magnitude of the electric field along the wire? (b) How much electrical energy is transferred to thermal energy in 30.0 min?

Explanation / Answer


apply eenrgy density J = i/A = E /rho

so Electric filed E = i * rhio/A

E = 2.4* 1.67*10^-8/(2.5e-6)

E = 0.016 V/m
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apply Enegry U = Vit   or i^2RT

here Resistance R = rho *L/A

R = 1.67 e-8 * 3.8/(2.4e-6)

R = 0.0264 ohms

so U = 2.4*2.4* 0.0264 * 30*60

U = 273.712 Joules

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