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Two opposite charges each of magnitude 2...

Two opposite charges each of magnitude `2 muC` are 1 cm apart. Find electric field at a distance of 5 cm from the min-point on axis line of the dipole. Also, find the field on equatorial line at the same distance from mid-point

Text Solution

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E on axial line
`= ( 2pr)/( 3pi epsilon_(0)(r^(2)-a^(2))^(2))`
`= ( 9 xx 10^(9) xx 2 ( 2xx 10^(-6) xx 10^(-2))xx5 xx 10^(-2))/([( 5 xx 10^(-2))^(2) - ( 0.5 xx 10^(-2))^(2) ]^(2))`
`= 2.93 xx 10^(6) N//C`
E on equatorial line
`= ( p)/( 4 pi epsilon_(0)(r^(2)a^(2))^(3//2))`
`= ( 9 xx 10^(9) xx 2 ( 2xx 10^(-6) xx 10^(-2)))/([( 5 xx 10^(-2))^(2) - ( 0.5 xx 10^(-2))^(2) ]^(2))`
`= 1.41 xx 10^(6) N //C`
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