4.Moving Charges and Magnetism
hard

$4.5 \times 10^{5} \;m / s$ના વેગથી ગતિ કરતાં બિંદુવત વિજભારના કારણે ઉત્પન્ન થતાં વિદ્યુતક્ષેત્ર અને ચુંબકીયક્ષેત્રનો ગુણોતર કેટલો થાય?

A

$2 \times 10^{11}$

B

$3 \times 10^{11}$

C

$2 \times 10^{8}$

D

$3 \times 10^{12}$

(AIIMS-2019)

Solution

The ratio of electric and magnetic field is given by,

$\frac{E}{B}=\frac{\frac{K Q}{r^{2}}}{\frac{\mu_{0}}{4 \pi}\left(\frac{q V}{r^{2}}\right)}$

$=\frac{K Q 4 \pi}{\mu_{0} q V}$

$=\frac{1}{4 \pi \varepsilon_{0}}\left(\frac{4 \pi}{\mu_{0}}\right)$

$=\frac{C^{2}}{V}$    $….(I)$

Substitute $3 \times 10^{8}$ for $C$ and $4.5 \times 10^{5}$ for $V$ in equation $( I )$.

$\frac{E}{B}=\frac{3 \times 10^{8}}{4.5 \times 10^{5}}$

$=2 \times 10^{11}$

Standard 12
Physics

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