Two infinite length wires carries currents 8A and 6A respectively and placed along X and Y-axis. Magnetic field at a point P,(0,,0,,d),m will be

Q: Two infinite length wires carries currents $8A$ and $6A$ respectively and placed along $X$ and $Y$-axis. Magnetic field at a point $P\,(0,\,0,\,d)\,m$ will be

d (d) Magnetic field at $P$ due to wire $1$, ${B_1} = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2\,(8)}}{d}$ and due to wire $2$, ${B_2} = \frac{{{\mu _0}}}{{4\pi }}.\frac{{2\,(6)}}{d}$ $==>$ ${B_{net}} = \sqrt {B_1^2 + B_2^2} = \sqrt {{{\left( {\frac{{{\mu _0}}}{{4\pi }}.\frac{{16}}{d}} \right)}^2} + {{\left( {\frac{{{\mu _0}}}{{4\pi }}.\frac{{12}}{d}} \right)}^2}} $ $ = \frac{{{\mu _0}}}{{4\pi }} \times \frac{2}{d} \times 10 = \frac{{5{\mu _0}}}{{\pi d}}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

Two infinite length wires carries currents $8A$ and $6A$ respectively and placed along $X$ and $Y$-axis. Magnetic field at a point $P\,(0,\,0,\,d)\,m$ will be

A$\frac{{7{\mu _0}}}{{\pi d}}$
B$\frac{{10{\mu _0}}}{{\pi d}}$
C$\frac{{14{\mu _0}}}{{\pi d}}$
D$\frac{{5{\mu _0}}}{{\pi d}}$

Diffcult

STD 11 Science
NEET
STD 12 - 4. Moving charges and magnetism
Physics

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