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Category: Electrostatics

a-point-charge-q-is-placed-at-0-a-2-0-find-flux-due-to-point-charge-through-a-square-sheet-of-side-a-in-xz-plane-whose-centre-coincides-with-orign-do-not-use-gauss-law-

Question Number 34652 by 33 last updated on 09/May/18 $${a}\:{point}\:{charge}\:{q}\:{is}\:{placed} \\ $$$${at}\:\left(\mathrm{0},{a}/\mathrm{2},\mathrm{0}\right)\:.\:{find}\:{flux} \\ $$$${due}\:{to}\:{point}\:{charge}\:{through} \\ $$$${a}\:{square}\:{sheet}\:{of}\:{side}\:{a}\:\: \\ $$$${in}\:{xz}\:{plane}\:{whose}\:{centre} \\ $$$${coincides}\:{with}\:{orign}. \\ $$$$\left(\:{do}\:{not}\:{use}\:{gauss}\:{law}\right) \\ $$ Commented…

Question-34196

Question Number 34196 by ajfour last updated on 02/May/18 Commented by ajfour last updated on 02/May/18 $$\left({i}\right){Find}\:{u}\:{if}\:{charge}\:{q}\:\left({mass}\:{m}\right) \\ $$$${is}\:{just}\:{able}\:{to}\:{cross}\:{the}\:{other}\:{ring}. \\ $$$$\left({ii}\right)\:{Can}\:{we}\:{find}\:{the}\:{time}\:{that}\:{it}\:{takes} \\ $$$${to}\:{reach}\:{from}\:{centre}\:{of}\:{lower} \\ $$$${ring}\:{to}\:{centre}\:{of}\:{upper}\:{ring},\:…

Question-33912

Question Number 33912 by ajfour last updated on 27/Apr/18 Commented by ajfour last updated on 27/Apr/18 $${Find}\:{the}\:{electric}\:{field}\:{at}\:{the}\:{centre}\:{of}\: \\ $$$${a}\:{part}\:{of}\:{the}\:{surface}\:{of}\:{a}\:{spherical} \\ $$$${shell}\:{having}\:{charge}\:{density}\:+\sigma\:. \\ $$ Commented by…

Question-33450

Question Number 33450 by ajfour last updated on 16/Apr/18 Commented by ajfour last updated on 16/Apr/18 $${Find}\:{electric}\:{flux}\:{of}\:{a}\:{semiinfinite} \\ $$$${thread}\:{of}\:{charge}\:{having}\:{linear} \\ $$$${charge}\:{density}\:\lambda,\:{through}\:{a}\:{circular} \\ $$$${disc}\:{of}\:{radius}\:{R}\:{if}\:{one}\:{end}\:{of}\:{the} \\ $$$${thread}\:{is}\:{at}\:{the}\:{centre}\:{of}\:{this}…

In-a-region-an-electric-field-exist-in-a-given-direction-and-it-passes-through-a-circle-of-radius-R-normally-The-magnitude-of-electric-field-is-given-as-E-E-0-1-r-R-where-r-is-the-distance

Question Number 33435 by rahul 19 last updated on 16/Apr/18 $$\boldsymbol{{I}}{n}\:{a}\:{region}\:{an}\:{electric}\:{field}\:{exist}\:{in}\:{a}\:{given} \\ $$$${direction}\:{and}\:{it}\:{passes}\:{through}\:{a}\:{circle} \\ $$$${of}\:{radius}\:{R}\:{normally}.\:{The}\:{magnitude} \\ $$$${of}\:{electric}\:{field}\:{is}\:{given}\:{as}\:: \\ $$$$\boldsymbol{{E}}\:=\:{E}_{\mathrm{0}} \:\left(\mathrm{1}−\:\frac{{r}}{\boldsymbol{{R}}}\right).\:{where}\:{r}\:{is}\:{the}\:{distance} \\ $$$${from}\:{centre}\:{of}\:{circle}\:.{Find}\:{electric}\: \\ $$$${flux}\:{through}\:{plane}\:{of}\:{circle}\:{within}\:{it}. \\…