Home/Class 12/Physics/

Question and Answer

An element \(\Delta l=\Delta x\widehat i\) is placed at the origin and carries a large current \(I=10A\). What is the magnetic fleld on the \(y\)-axis at a distance of \(0.5\text{ m}.\Delta x=1\text{ cm}\)
Question: An element  Delta l=Delta xwidehat i is placed at the origin and carries a large current  I=10A. What is the magnetic fleld on the  y-axis at a distance of  0.5text{ m}.Delta x=1text{ cm}

Answer

\(\mid \mathit{dB}\mid =\frac{\mu _0}{4\pi }\frac{1\mathit{dl}\sin \theta }{r^2}\)
\(\mathit{dt}=\Delta x=10^{-2}m,l=10A,r=0.5m=y{\cdot}\mu _0\text /4\pi =10^{-7}\frac{\mathit{Tm}} A\)
\(\theta =90^{{\circ}}:\sin \theta =1\)
\(\left|\mathit{dB}\right|=\frac{10^{-7}\times 10\times 10^{-2}}{25\times 10^{-2}}=4\times 10^{-8}T\)
The direction of the field is in the \(+z\)  -direction. This is so since. \(\mathit{dl}\times r=\Delta x\widehat i\times y\widehat j=y\Delta x\left(\widehat i\times \widehat j\right)=y\Delta x\widehat k\)
We remind you of the following cyclic property of cross-products. \(\widehat i\times \widehat j=\widehat k;\widehat j\times \widehat k=\widehat i;\widehat k\times \widehat i=\widehat j\)
Note that the field is small in magnitude.
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct25
Incorrect0
Watch More Related Solutions
A passenger arriving in a new town wishes to go from the station to a hotel located \(10 \,km\) away on a straight road from the station. A dishonest cabman takes him along a circuitous path \(23\, km\) long and reaches the hotel in \(28 \,min\). What is the magnitude of average velocity and are the two equal ?
The graph between\( |\psi|^2\) and r (radial distance) is shown below. This represents
( )
A. \(1\) s orbital
B. \(2\) p orbital
C. \(3\) s orbital
D. \(2\) s orbital
What is the resistance of an intrinsic semiconductor at 0 K?
How can you say that ripening of a fruit is a chemical change?
Figure shows a long straight wire of a circular cross-section \((\) radius \(a\)  carrying steady current I. The current \(I\)  is uniformly distributed across this cross-section. Calculate the magnetic field in the region \(r\lt a\)  and \(r>\mathit{a.}\)

A solenoid of length \(05 \;\text{m}\) has a radius of \(1 \;\text{cm}\) and is made up of \(500\) turns. It carries a current of \(5\; A\). What is the magnitude of the magnetic field inside the solenoid?
A \( 100\;W\) bulb has tungsten filament of total length \( 1.0\;m\) and radius \( 4\times  {10}^{-5} m\). The emissivity of the filament is \(0.8\) and \( \sigma =6.0\times {10}^{-8}W {m}^{-2}{K}^{-4}.\) Calculate the temperature of the filament when the bulb is operating at correct wattage.
The horizontal component of the earth’s magnetic field at a certain place is \(3.0\times 10^{-5}\;T\) and the direction of the field is from the geographic south to the geographic north. A very long straight conductor is carrying a steady current of \(1\;A.\) What is the force per unit length on it when it is placed on a horizontal table and the direction of the current is east to west?
Explain the following:
(i) Tyndall effect

The horizontal component of the earth’s magnetic field at a certain place is \(3.0\times 10^{-5}\;T \)  and the direction of the field is from the geographic south to the geographic north. A very long straight conductor is carrying a steady current of \(1\;A\) . What is the force per unit length on it when it is placed on a horizontal table and the direction of the current is south to north?

Load More