Question and Answers Forum

All Questions      Topic List

Magnetic Effect Questions

Previous in All Question      Next in All Question      

Previous in Magnetic Effect      Next in Magnetic Effect      

Question Number 40519 by rahul 19 last updated on 23/Jul/18

Commented by rahul 19 last updated on 23/Jul/18

$$\mathrm{If}\mathrm{the}\mathrm{resistance}\mathrm{of}\mathrm{larger}\mathrm{loop}\mathrm{is}\mathrm{R},$$$$\mathrm{find}\mathrm{current}\mathrm{in}\mathrm{it}\mathrm{as}\mathrm{a}\mathrm{function}\mathrm{of}\mathrm{time}?$$

Answered by ajfour last updated on 23/Jul/18

$$M_{ab}=M_{ba}$$$$letcurrentIflowinlargerloop;$$$$magneticfluxthroughsmaller$$$$loopisthen\varphi =\frac{{\mu }_{0}I}{2b}\left(\pi a^2\right)=M_{ab}I$$$$\Rightarrow M_{ba}=\frac{{\mu }_0\pi a^2}{2b}$$$$Nowduetocurrentinsmaller$$$$loopi=2tinducedemfinlarger$$$$loopis{V}_b=M_{ba}\frac{di}{dt}=2M_{ba}$$$$hence{V}_b=\frac{{\mu }_0\pi a^2}{2b}\times 2$$$$currentinlargerloopisthen$$$$=\frac{V_b}{R}=\frac{{\mu }_0\pi a^2}{bR}.$$

Commented by rahul 19 last updated on 23/Jul/18

thank you both sirs ������

Commented by rahul 19 last updated on 23/Jul/18

$$\mathrm{This}\mathrm{result}\mathrm{shows}\mathrm{current}\mathrm{independent}$$$$\mathrm{of}\mathrm{time}\mathrm{in}\mathrm{larger}\mathrm{loop}.\mathrm{But}\mathrm{if}\mathrm{we}\mathrm{take}\mathrm{some}\mathrm{instant}$$$$\mathrm{say}\mathrm{t}=0,\mathrm{then}why\mathrm{will}\mathrm{current}\mathrm{flow}?$$$$?\mathrm{And}\mathrm{what}\mathrm{about}\mathrm{t}=\mathrm{\infty }?.....$$

Commented by ajfour last updated on 23/Jul/18

$$inducedemfWilldependonrate$$$$ofchangeofcurrentinneighbouring$$$$coil.$$$$whatifvelocitybev=2t$$$$theforceatt=0andt\to \mathrm{\infty }will$$$$thenbe=m\frac{d\left(2v\right)}{dt}=2m.$$$$dontbesurprised!$$

Commented by rahul 19 last updated on 23/Jul/18

$$\mathrm{Current}\mathrm{in}\mathrm{smaller}\mathrm{loop}\mathrm{at}\mathrm{t}=0\mathrm{is}0.$$$$\mathrm{and}\mathrm{there}\mathrm{is}\mathrm{also}\mathrm{no}\mathrm{battery}\mathrm{connected}\mathrm{to}\mathrm{larger}\mathrm{loop}\mathrm{then}$$$$\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{source}\mathrm{of}\mathrm{current}\mathrm{in}\mathrm{larger}\mathrm{loop}$$$$\mathrm{at}\mathrm{t}=0?$$

Commented by ajfour last updated on 23/Jul/18

$$rateofchangeofmagneticflux$$$$owingtorateofchangeofcurrent$$$$insmallerloop;whichisstillnot$$$$zero.$$

Commented by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

Commented by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

Commented by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

Commented by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

Commented by tanmay.chaudhury50@gmail.com last updated on 23/Jul/18

Terms of Service

Privacy Policy

Contact: info@tinkutara.com