1.

Cross-sectional area of proton beam having electric current 1 muA is 0.5mm^(2) and move with velocity 3 xx 10^(4) m/s so current density = .........

Answer»

`6.6 xx 10^(-4) C // m^(3)`
`6.6 xx 10^(-5) C// m^(3)`
`6.6 xx 10^(-6) C// m^(3)`
NONE of these

Solution :`6.6 xx 10^(-5) C// m^(3)`
Electric charge density
`rho= (" electric charge ")/(" Volume ") = (Q)/(AD)`
` therefore rho =(It)/(Ad) = (I)/(A xx v) "" [ because (d)/(t) = v ] `
`therefore rho =(10^(-6))/(0.5 xx 10^(-6) xx 3 xx 10^(4))`
`therefore rho = 0.66 xx 10^(-4) C// m^(3)`
`therefore rho = 6.6 xx 10^(-5) C//m^(3)`


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