In following diagram there is a straight wire carrying a current $I.$ Consider a circular path with radius $(R)$ near it. It $\vec B_T$ is the tangential component of magnetic field then find the value of integral $\int {{{\vec B}_T}.\overrightarrow {dl} } $
A$\frac{{{\mu _0}I}}{{2\pi R}}$
B$\frac{{{\mu _0}I}}{{4\pi R}}$
C$\frac{{{\mu _0}I}}{{2\pi (r-R)}}$
D
Zero
Medium
Download our app for free and get started
D
Zero
d $\mathrm{B}_{\mathrm{out}}=\frac{\mu_{0} \mathrm{I}}{2 \pi(2 \mathrm{a})}.........(1)$
$\frac{B_{\text {out }}}{B_{\text {in }}}=\frac{\mu_{0} I / 4 \pi a}{\mu_{0} I / 4 \pi a}=\frac{1}{1}$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
An electron (mass $= 9 \times 10^{-31}\,kg$. Charge $= 1.6 \times 10^{-19}\,C$) whose kinetic energy is $7.2 \times 10^{-18}$ $joule$ is moving in a circular orbit in a magnetic field of $9 \times 10^{-5} \,weber/m^2$. The radius of the orbit is.....$cm$
A coaxial cable having radii $a, b$ and $c$ carries equal and opposite currents of magnitude $i$ the inner and outer conductors. What is the magnitude of the magnetic induction at point $P$ outside of the cable at a distance $r$ from the axis?
A cell of emf $90\,V$ is connected across series combination of two resistors each of $100\,\Omega$ resistance. A voltmeter of resistance $400\,\Omega$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be $.........\,V$
A thin wire of length $l$ is carrying a constant current. The wire is bent to form a circular coil. If radius of the coil, thus formed, is equal to $R$ and number of turns in it is equal to $n$, then which of the following graphs represent $(s)$ variation of magnetic field induction $(b)$ at centre of the coil
An ammeter whose resistance is $180\,\Omega $ gives full scale deflection when current is $2\, mA$. The shunt required to convert it into an ammeter reading $20\, mA$ (in $ohms$) is
Two particles $A$ and $B$ of masses ${m_A}$ and ${m_B}$ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are ${v_A}$ and ${v_B}$ respectively, and the trajectories are as shown in the figure. Then