A cylindrical wire of radius 0 . 5 mm and conductivity 5 × 10 7 S m - 1 is subjected to an electric field of 10 mV m - 1 . The expected value of current in the wire will be x 3 π mA . The value of x i

Question

A cylindrical wire of radius 0 . 5 mm and conductivity 5 × 10 7 S m - 1 is subjected to an electric field of 10 mV m - 1 . The expected value of current in the wire will be x 3 π mA . The value of x is _________.

TestHub · Accepted Answer

Conductivity σ = 5 × 10 7 S m - 1 Radius r = 0 . 5 mm = 5 × 10 - 4 m E = 10 × 10 - 3 V m - 1 J = σ E = 10 × 10 - 3 × 5 × 10 7 ⇒ J = 5 × 10 5 ⇒ i A = 5 × 10 5 i = 5 × 10 5 × π r 2 = 5 × 10 5 × π × 5 × 10 - 4 2 = 125 π × 10 - 3 A Therefore, i = 125 π mA Hence, x = 5

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