A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to X -axis while semicircular portion of radius R is lying in Y-Z plane. Magnetic field at point

Correct answer: B. B =- μ_ 0 4 π I R (π i +2 k ) No Solution

BITSAT 2016

BITSAT 2016 · Physics · Magnetic Effects of Current

A wire carrying current I has the shape as shown in adjoining...

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are very long and parallel to

\mathrm{X}

-axis while semicircular portion of radius

\mathrm{R}

is lying in Y-Z plane. Magnetic field at point

\mathrm{O}

is:

A $\overrightarrow{\mathrm{B}}=-\frac{\mu_{0}}{4 \pi} \frac{$ \mathrm{I} $}{\mathrm{R}}(\mu \hat{\mathrm{i}} \times 2 \hat{\mathrm{k}})$
B $\quad \overrightarrow{\mathrm{B}}=-\frac{\mu_{0}}{4 \pi} \frac{$ \mathrm{I} $}{\mathrm{R}}(\pi \hat{\mathrm{i}}+2 \hat{\mathrm{k}})$
C $\overrightarrow{\mathrm{B}}=\frac{\mu_{0}}{4 \pi} \frac{$ \mathrm{I} $}{\mathrm{R}}(\pi \hat{\mathrm{i}}-2 \hat{\mathrm{k}})$
D $\overrightarrow{\mathrm{B}}=\frac{\mu_{0}}{4 \pi} \frac{$ \mathrm{I} $}{\mathrm{R}}(\pi \hat{\mathrm{i}}+2 \hat{\mathrm{k}})$

B. $\quad \overrightarrow{\mathrm{B}}=-\frac{\mu_{0}}{4 \pi} \frac{$ \mathrm{I} $}{\mathrm{R}}(\pi \hat{\mathrm{i}}+2 \hat{\mathrm{k}})$

No Solution