1.

Current density in a copper wire is 2.5 xx 10^(8) Am^(-2). If 8A current if flowing through it diameter of the wire is ......

Answer»

0.2 mm
0.2cm
0.2 m
2 mm

Solution :0.2 mm
J = `(I)/(A) = (I)/(pi R^(2))`
`thereforer =SQRT((I)/(pi J))`
`= sqrt( (8)/(3.14 xx 2.5 xx 10^(8)) )`
` = sqrt( 1.009 xx 10^(-8) ) `
` therefore r = 1 1.009 xx 10^(-4) ` m
`therefore r = 1 xx 10^(-4)`m
`therefore "Diameter " D = 2 xx 10^(-4 ) m = 2 xx 10^(-2)` CM
= 0.02 cm = 0.2 mm


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