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Question Number 163600 by Eric002 last updated on 08/Jan/22 $${a}\:{line}\:{charges}\:{of}\:{charge}\:{density}\: \\ $$$${pl}=\mathrm{4}{x}^{\mathrm{3}} −{x}+\mathrm{3}{mc}/{m}\:{laying}\:{along}\:{the}\:{x}−{axis}. \\ $$$${determine}\:{the}\:{total}\:{charge}\:{if}\:{the}\:{line}\:{charge} \\ $$$${extends}\:{from}\:{x}=\mathrm{2}\:{and}\:{x}=\mathrm{6}\:{m} \\ $$ Answered by ajfour last updated on…
Question Number 31436 by ajfour last updated on 08/Mar/18 Commented by ajfour last updated on 08/Mar/18 $${Two}\:{charged}\:{small}\:{balls}\:{are} \\ $$$${suspended}\:{by}\:{strings}\:{of}\:{length} \\ $$$${L}\:{and}\:{l}\:.\:{Find}\:{equilibrium}\:{angle}\:\theta\:. \\ $$ Commented by…
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Question Number 157199 by Fresnel last updated on 20/Oct/21 $${What}\:{is}\:{the}\:{general}\:{expression}\:{of}\:{the}\:{divergence}\left({div}\overset{\dashrightarrow} {{V}}\right) \\ $$ Answered by TheHoneyCat last updated on 21/Oct/21 $$\mathrm{It}\:\mathrm{depends}\:\mathrm{on}\:\mathrm{your}\:\mathrm{level}: \\ $$$$\left.\mathrm{1}\right)\:\mathrm{If}\:\left({to}\:{you}\right)\:\:\overset{\rightarrow} {\mathrm{V}}\:\mathrm{is}\:\mathrm{a}\:\mathrm{tridimentionnal}\:\mathrm{vector} \\…
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Question Number 82647 by Learner-123 last updated on 23/Feb/20 $${In}\:{the}\:{rectangular}\:{region},\:−\mathrm{2}<{x}<\mathrm{2}, \\ $$$$−\mathrm{3}<{y}<\mathrm{3},\:{the}\:{surface}\:{charge}\:{density} \\ $$$${is}\:{given}\:{as}\:\rho_{{s}} =\left({x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{1}\right)^{\frac{\mathrm{3}}{\mathrm{2}}} .\:{If}\:{no}\:{other} \\ $$$${charge}\:{is}\:{present},\:{find}\:{E}\:{at}\:{P}\left(\mathrm{0},\mathrm{0},\mathrm{1}\right). \\ $$ Commented by Learner-123…
Question Number 82631 by Learner-123 last updated on 23/Feb/20 $${Eight}\:{point}\:{charges}\:{of}\:\mathrm{1}{nC}\:{each}\:{are} \\ $$$${located}\:{at}\:{corners}\:{of}\:{the}\:{cube}\:{in}\:{free} \\ $$$${space}\:{that}\:{is}\:\mathrm{1}{m}\:{on}\:{a}\:{side}\:.\:{Find}\:\:\mid\boldsymbol{{E}}\mid \\ $$$${at}\:{the}\:{centre}\:{of}\:{an}\:{edge}. \\ $$$$\left({Assume}\:{origin}\:{to}\:{be}\:{centre}\:{of}\:{cube}\right). \\ $$ Commented by Learner-123 last updated…
Question Number 82627 by Learner-123 last updated on 23/Feb/20 $${A}\:\mathrm{20}{nC}\:{point}\:{charge}\:{is}\:{located}\:{at} \\ $$$${P}\left(\mathrm{2},\mathrm{4},−\mathrm{3}\right)\:{in}\:{free}\:{space}.\:\boldsymbol{{F}}{ind}\:{the}\:{locus} \\ $$$${of}\:{all}\:{points}\:{at}\:{which}\:{E}_{{r}} =\mathrm{1}{V}/{m}. \\ $$ Commented by Learner-123 last updated on 26/Feb/20 $$??…
Question Number 82591 by Learner-123 last updated on 22/Feb/20 $${A}\:{closed}\:{surface}\:{is}\:{defined}\:{in}\:{spherical} \\ $$$${coordinates}\:{by}\:\mathrm{3}<{r}<\mathrm{5}\:,\:\mathrm{0}.\mathrm{1}\pi<\theta<\mathrm{0}.\mathrm{3}\pi, \\ $$$$\mathrm{1}.\mathrm{2}\pi<\phi<\mathrm{1}.\mathrm{6}\pi.\:\boldsymbol{{F}}{ind}\:{the}\:{total}\:{surface} \\ $$$${area}. \\ $$ Commented by Learner-123 last updated on 22/Feb/20…