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stunner5000pt
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Griffith' E&M problem 3.28 page 151
Given a spherical surface of radius R which carries a surface charge [itex] \simga = k \cos\theta [/itex]
Calculate the dipole moment of this charge distribtuion
well using this equation
[tex] \vec{p} = \int \vec{r'} \sigma(\theta') dA' = \int Rk \cos\theta R^2 \sin\theta d\theta d\phi [/tex]
but i was told that this setup is wrong that - tat the first term in the integration which i have as R should be [itex] R \cos\theta[/itex] why is that??
what about my area element is that correct?
Please help
thank you in advance!
Given a spherical surface of radius R which carries a surface charge [itex] \simga = k \cos\theta [/itex]
Calculate the dipole moment of this charge distribtuion
well using this equation
[tex] \vec{p} = \int \vec{r'} \sigma(\theta') dA' = \int Rk \cos\theta R^2 \sin\theta d\theta d\phi [/tex]
but i was told that this setup is wrong that - tat the first term in the integration which i have as R should be [itex] R \cos\theta[/itex] why is that??
what about my area element is that correct?
Please help
thank you in advance!