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  • A & B are two concentric circular conductors of centre O and carrying currents <img alt="i_1 \: \: and\: \: i_2" src="https://entrancecorner.oncodecogs.com/gif.latex?i_1%20%5C%3A%20%5C%3A%

A & B are two concentric circular conductors of centre O and carrying currents i_1 \: \: and\: \: i_2   as shown. If the ratio of their radii is 1:2. and the ratio of their flux densities at O due to A & B is 1:3, then the value of i_1/i_2 is

Option: 1

1/6


Option: 2

1/4


Option: 3

1/3


Option: 4

1/2


Answers (1)

best_answer

The magnetic field at centre of circular coil B=\frac{\mu_{0} I}{2 r}

\therefore B \propto \frac{I}{r}

For coil A, B _A \propto \frac{I_{1}}{r}

For coil B, B_B \propto \frac{I_{2}}{2 r}

\frac{\mathrm{B_A}}{\mathrm{B_B}}=\frac{\mathrm{I}_{1}}{\mathrm{I}_{2}} \times \frac{2 \mathrm{r}}{\mathrm{r}}
\\ \frac{1}{3}=\frac{I_{1}}{I_{2}} \times 2 \\ \frac{I_{1}}{I_{2}}=\frac{1}{6}

Posted by

Nehul

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