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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)/(4pi epsilon_(0)(r^(2)-a^(2))^(2))`
`=(9xx10^(9)xx2(2xx10^(-5)xx10^(-2))xx5xx10^(-2))/([(5xx10^(-2))^(2)-(0.5xx10^(-2))^(2)]^(2))`
`=2.93xx10^(6)` N/C
E on equatorial line
`=(p)/(4pi epsilon_(0)(r^(2)+a^(2))^(3//2))`
`=(9xx10^(9)xx(2xx10^(-6)xx10^(-2)))/([(5xx10^(-2))^(2)+(0.5xx10^(-2))^(2)]^(3//2))`
`=1.41xx10^(6)` N/C
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