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ElectrostaticsQuestion and Answers: Page 2

Question Number 82627    Answers: 0   Comments: 1

$${A}\:\mathrm{20}{nC}\:{point}\:{charge}\:{is}\:{located}\:{at} \\ $$$${P}\left(\mathrm{2},\mathrm{4},−\mathrm{3}\right)\:{in}\:{free}\:{space}.\:\boldsymbol{{F}}{ind}\:{the}\:{locus} \\ $$$${of}\:{all}\:{points}\:{at}\:{which}\:{E}_{{r}} =\mathrm{1}{V}/{m}. \\ $$

Question Number 82591    Answers: 0   Comments: 12

$${A}\:{closed}\:{surface}\:{is}\:{defined}\:{in}\:{spherical} \\ $$$${coordinates}\:{by}\:\mathrm{3}<{r}<\mathrm{5}\:,\:\mathrm{0}.\mathrm{1}\pi<\theta<\mathrm{0}.\mathrm{3}\pi, \\ $$$$\mathrm{1}.\mathrm{2}\pi<\phi<\mathrm{1}.\mathrm{6}\pi.\:\boldsymbol{{F}}{ind}\:{the}\:{total}\:{surface} \\ $$$${area}. \\ $$

Question Number 74423    Answers: 0   Comments: 1

Question Number 65040    Answers: 0   Comments: 0

$${what}\:{is}\:{the}\:{curve}\:{of}\:{the}\:{curve}\:{caused}\:\:{by} \\ $$$${the}\:{earth}\:{to}\:{the}\:{space}\:{time}\:\_\:{fabric} \\ $$

Question Number 63124    Answers: 1   Comments: 5

$${A}\:{solenoid}\:{is}\:\mathrm{40}{cm}\:{long},{has}\:{a}\:{cross} \\ $$$${sectional}\:{area}\:{of}\:\mathrm{8}.\mathrm{0}{cm}^{\mathrm{2}} \:{and}\:{is}\:{wound} \\ $$$${with}\:\mathrm{309}\:{turns}\:{of}\:{wire}\:{that}\:{carries}\:{a} \\ $$$${current}\:{of}\:\mathrm{1}.\mathrm{2}{A}.{The}\:{relative} \\ $$$${permeability}\:{of}\:{the}\:{iron}\:{core}\:{is}\:\mathrm{600}. \\ $$$${Compute}\:{the}\:\boldsymbol{{B}}\:{for}\:{the}\:{interior}\:{point} \\ $$$${and}\:{the}\:{flux}\:{through}\:{the}\:{solenoid}. \\ $$

Question Number 59958    Answers: 0   Comments: 0

Question Number 59703    Answers: 1   Comments: 0

Question Number 57783    Answers: 1   Comments: 0

Question Number 55853    Answers: 0   Comments: 0

Question Number 55431    Answers: 1   Comments: 1

$$\mathrm{2}\:{plane}\:{parallel}\:{conducting}\:{plates}\:{are} \\ $$$${held}\:{horizontal},{one}\:{above}\:{the}\:{other}\:{in} \\ $$$${a}\:{vacuum}.{Electrons}\:{having}\:{a}\:{speed}\:{of} \\ $$$$\mathrm{6}×\mathrm{10}^{\mathrm{6}} {m}/{s}\:{and}\:{moves}\:{normally}\:{to}\:{the} \\ $$$${plates}\:{enter}\:{the}\:{region}\:{between}\:{them} \\ $$$${through}\:{a}\:{hole}\:{in}\:{the}\:{lower}\:{plate}\:{which} \\ $$$${is}\:{earthed}.{What}\:{potential}\:{must}\:{be} \\ $$$${applied}\:{to}\:{the}\:{other}\:{plate}\:{so}\:{that}\:{the} \\ $$$${electrons}\:{just}\:{fails}\:{to}\:{reach}\:{it}?{What} \\ $$$${is}\:{the}\:{subsequent}\:{motion}\:{of}\:{these} \\ $$$${electrons}? \\ $$$$\left({ratio}\:{of}\:{charge}\:{to}\:{mass}\:{of}\:{electron}=\right. \\ $$$$\left.\mathrm{1}.\mathrm{8}×\mathrm{10}^{\mathrm{11}} {Ckg}^{−\mathrm{1}} \right) \\ $$

Question Number 52222    Answers: 1   Comments: 0

Question Number 50994    Answers: 2   Comments: 0

$${Two}\:{similar}\:{ball}\:{of}\:{mass} \\ $$$${m}\:{attached}\:{by}\:\:{silk}\:{thread} \\ $$$${of}\:{length}\:{a}\:\:{and}\:{carry} \\ $$$${similar}\:{charge}\:\:{q}.{assume}\:\theta\:{is} \\ $$$${small}\:{enough}\:{that} \\ $$$${tan}\theta\approx{sin}\theta\:{to}\:{this} \\ $$$${approximation},{show}\: \\ $$$${that}\:\:\:\:{X}=\left(\frac{{qa}}{\mathrm{2}\pi\varepsilon_{\mathrm{0}} {mg}}\right)^{\frac{\mathrm{1}}{\mathrm{3}}} \: \\ $$$${where}\:\:{X}\:{is}\:{distance}\:{of} \\ $$$${separation}. \\ $$

Question Number 48489    Answers: 0   Comments: 0

Question Number 48458    Answers: 1   Comments: 1

Question Number 48405    Answers: 0   Comments: 7

Question Number 47646    Answers: 1   Comments: 2

Question Number 47641    Answers: 0   Comments: 0

$$\mathrm{E}=\left(\mathrm{E}_{\mathrm{1}} ^{\mathrm{2}} +\mathrm{E}_{\mathrm{2}} ^{\mathrm{2}} +\mathrm{2E}_{\mathrm{1}} \mathrm{E}_{\mathrm{2}} \mathrm{cos2}\theta\right)^{\mathrm{1}/\mathrm{2}} \\ $$$$\mathrm{full}\:\mathrm{explanation} \\ $$

Question Number 46374    Answers: 1   Comments: 1

$${At}\:{each}\:{of}\:{three}\:{corners}\:{of}\:{a}\:{square}\: \\ $$$${of}\:{side}\:\mathrm{2}{cm}\:{is}\:{placed}\:{a}\:{point}\:{charge}\: \\ $$$${of}\:{magnitude}\:\mathrm{3}\mu{C}. \\ $$$${What}\:{will}\:{be}\:{the}\:{magnitude}\:{and}\: \\ $$$${direction}\:{of}\:{the}\:{resultant}\:{force}\:{on}\:{a} \\ $$$${point}\:{charge}\:−\mathrm{1}\mu{C}\:{if}\:{it}\:{were}\:{placed} \\ $$$$\:\:\:\left({a}\right)\:\:{at}\:{the}\:{centre}\:{of}\:{the}\:{square}? \\ $$$$\:\:\:\left({b}\right)\:\:{at}\:{the}\:{vacant}\:{corner}\:{of}\:{the}\:{sqre}? \\ $$

Question Number 46293    Answers: 0   Comments: 1

Question Number 46292    Answers: 1   Comments: 0

$${A}\:+{ve}\:{point}\:{charge}\:{of}\:{magnitude}\:{q}\:{is}\:{located}\:{on}\:{the}\:{y}−{axis}\: \\ $$$${at}\:{a}\:{point}\:{of}\:{y}=+{d}\:{and}\:{another}\:−{ve}\:\:{charge}\:{of}\:{same}\:{magnitude} \\ $$$${is}\:{located}\:{on}\:{the}\:{point}\:{y}=−{d}.\: \\ $$$${A}\:{third}\:+{ve}\:{charge}\:{of}\:{same}\:{magnitude}\:{is}\:{located}\: \\ $$$${at}\:{some}\:{point}\:{on}\:{x}−{axis}. \\ $$$$\:\:\:\left(\mathrm{1}\right)−\:{what}\:{is}\:{the}\:{magnitude}\:{and}\:{direction}\:{of}\:{the}\:{force}\:{on} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{third}\:{charge}\:? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({a}\right)−\:{when}\:{its}\:{located}\:{on}\:{the}\:{origin}. \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left({b}\right)−\:\:{when}\:{its}\:{coordinate}\:{is}\:{x}. \\ $$$$\:\:\:\:\left(\mathrm{2}\right)−\:{show}\:{that}\:{when}\:{x}\:{is}\:{large}\:{compared}\:{to}\:{distance}\:{d}, \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{the}\:{force}\:{in}\:\left({b}\right)\:{is}\:{inversely}\:{proportionalto}\:{the} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{cube}\:{of}\:{the}\:{distance}\:{from}\:{origin}. \\ $$

Question Number 41530    Answers: 1   Comments: 0

Question Number 40817    Answers: 1   Comments: 0

$${An}\:{electric}\:{field}\:{of}\:\mathrm{2}.\mathrm{66}{KV}/{m},{and} \\ $$$${a}\:{magnetic}\:{field}\:{of}\:\mathrm{1}.\mathrm{20}{T},{act}\:{on}\:{a} \\ $$$${moving}\:{electron}.{Calculate}\:{the}\:{speed} \\ $$$${of}\:{the}\:{electron}\:{if}\:{the}\:{resultant}\:{force} \\ $$$${due}\:{to}\:{both}\:{fields}\:{is}\:{zero}. \\ $$$$ \\ $$

Question Number 40816    Answers: 0   Comments: 0

$${An}\:{electric}\:{field}\:{of}\:\mathrm{2}.\mathrm{66}{KV}/{m},{and} \\ $$$${a}\:{magnetic}\:{field}\:{of}\:\mathrm{1}.\mathrm{20}{T},{act}\:{on}\:{a} \\ $$$${moving}\:{electron}.{Calculate}\:{the}\:{speed} \\ $$$${of}\:{the}\:{electron}\:{if}\:{the}\:{resultant}\:{force} \\ $$$${due}\:{to}\:{both}\:{fields}\:{is}\:{zero}. \\ $$$$ \\ $$

Question Number 40804    Answers: 0   Comments: 6

Question Number 40786    Answers: 1   Comments: 0

$${A}\:{parallel}\:{plate}\:{capacitor}\:{of}\:{plate} \\ $$$${spacing},\:\mathrm{1}{mm}\:{is}\:{charged}\:{to}\:{a}\:{potential} \\ $$$${of}\:\mathrm{50}{V}.{Find}\:{the}\:{energy}\:{density}\:{in} \\ $$$${the}\:{capacitor} \\ $$

Question Number 40773    Answers: 1   Comments: 0

$${A}\:{pair}\:{of}\:{oppositely}\:{charged}\:{plane} \\ $$$${parallel}\:{plates}\:{each}\:{of}\:{area},\mathrm{100}{cm}^{\mathrm{2}} \\ $$$${has}\:{the}\:{electric}\:{field}\:{of}\:{the}\:{value} \\ $$$$\mathrm{5}.\mathrm{0}×\mathrm{10}^{\mathrm{4}} {N}/{C}.{Calculate}\:{the}\:{charge} \\ $$$${on}\:{each}\:{plate}. \\ $$

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