A cylindrical wire of radius 0.5 mm and conductivity 5 × 107 S / m is subjected to an electric field of 10 mV / m. The expected value of current in the wire will be x3 π mA. The value of x. is

Question

A cylindrical wire of radius 0.5 mm and conductivity 5 × 107 S / m is subjected to an electric field of 10 mV / m. The expected value of current in the wire will be x3 π mA. The value of x. is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Conductivity σ=5 × 107 S / m Radius r =0.5 mm =5 × 10-4 m E =10 × 10-3 ( V / m ) J =σ E =10 × 10-3 × 5 × 107 J =5 × 105 (i / A )=5 × 105 i =5 × 105 × π r 2 =5 × 105 × π ×(5 × 10-4)2 =125 π × 10-3 Amp i =125 π mA x =5

Q. A cylindrical wire of radius 0.5mm and conductivity 5×107S/m is subjected to an electric field of 10mV/m. The expected value of current in the wire will be x3π mA. The value of x_______. is

Conductivity σ=5×107S/m Radius r=0.5mm=5×10−4m E=10×10−3mV​ J=σE=10×10−3×5×107 J=5×105 Ai​=5×105 i=5×105×πr2 =5×105×π×(5×10−4)2 =125π×10−3 Amp i=125π mA x=5

Q. A cylindrical wire of radius $0.5 mm$ and conductivity $5 \times 1 0^{7} S / m$ is subjected to an electric field of $10 mV / m$ . The expected value of current in the wire will be $x^{3} π$ mA. The value of $x$ _______. is