frac{5*10^{-6}c*9*10^-6c}{4pi*10006*8854*10^-12*c^2/Nm^2*15m} eching

$$\frac { 5 \cdot 10 ^ { - 6 } c \cdot 9 \cdot 10 ^ { - 6 } c } { 4 \pi \cdot 10006 \cdot 8854 \cdot 10 ^ { - 12 } \cdot \frac { c ^ { 2 } } { N m ^ { 2 } } \cdot 15 m }$$

Baholash

$$\frac{3Nm}{354372496\pi }$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -6 va -6 ni qo‘shib, -12 ni oling.

$$\frac{5\times 10^{-12}c\times 9c}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

c^{2} hosil qilish uchun c va c ni ko'paytirish.

$$\frac{5\times 10^{-12}c^{2}\times 9}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

-12 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000} ni qiymatni oling.

$$\frac{5\times \frac{1}{1000000000000}c^{2}\times 9}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

\frac{1}{200000000000} hosil qilish uchun 5 va \frac{1}{1000000000000} ni ko'paytirish.

$$\frac{\frac{1}{200000000000}c^{2}\times 9}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

\frac{9}{200000000000} hosil qilish uchun \frac{1}{200000000000} va 9 ni ko'paytirish.

$$\frac{\frac{9}{200000000000}c^{2}}{4\pi \times 10006\times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

40024 hosil qilish uchun 4 va 10006 ni ko'paytirish.

$$\frac{\frac{9}{200000000000}c^{2}}{40024\pi \times 8854\times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

354372496 hosil qilish uchun 40024 va 8854 ni ko'paytirish.

$$\frac{\frac{9}{200000000000}c^{2}}{354372496\pi \times 10^{-12}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

-12 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000000000000} ni qiymatni oling.

$$\frac{\frac{9}{200000000000}c^{2}}{354372496\pi \times \frac{1}{1000000000000}\times \frac{c^{2}}{Nm^{2}}\times 15m}$$

\frac{22148281}{62500000000} hosil qilish uchun 354372496 va \frac{1}{1000000000000} ni ko'paytirish.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{22148281}{62500000000}\pi \times \frac{c^{2}}{Nm^{2}}\times 15m}$$

\frac{66444843}{12500000000} hosil qilish uchun \frac{22148281}{62500000000} va 15 ni ko'paytirish.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843}{12500000000}\pi \times \frac{c^{2}}{Nm^{2}}m}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{66444843}{12500000000} ni \frac{c^{2}}{Nm^{2}} ga ko‘paytiring.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}}{12500000000Nm^{2}}\pi m}$$

\frac{66444843c^{2}}{12500000000Nm^{2}}m ni yagona kasrga aylantiring.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}m}{12500000000Nm^{2}}\pi }$$

Surat va maxrajdagi ikkala m ni qisqartiring.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}}{12500000000Nm}\pi }$$

\frac{66444843c^{2}}{12500000000Nm}\pi ni yagona kasrga aylantiring.

$$\frac{\frac{9}{200000000000}c^{2}}{\frac{66444843c^{2}\pi }{12500000000Nm}}$$

\frac{9}{200000000000}c^{2} ni \frac{66444843c^{2}\pi }{12500000000Nm} ga bo'lish \frac{9}{200000000000}c^{2} ga k'paytirish \frac{66444843c^{2}\pi }{12500000000Nm} ga qaytarish.

$$\frac{\frac{9}{200000000000}c^{2}\times 12500000000Nm}{66444843c^{2}\pi }$$

Surat va maxrajdagi ikkala c^{2} ni qisqartiring.

$$\frac{\frac{9}{200000000000}\times 12500000000Nm}{66444843\pi }$$

\frac{9}{16} hosil qilish uchun \frac{9}{200000000000} va 12500000000 ni ko'paytirish.

$$\frac{\frac{9}{16}Nm}{66444843\pi }$$

N ga nisbatan hosilani topish

$$\frac{3m}{354372496\pi }$$