Two like magnetic poles of strength 10 and 40 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the magnetic field be zero at point $P$,which lies at a distance $x$ from the $10$ unit pole.Since the poles are like,the null point lies betw

Vedclass · Accepted Answer

At a point $20 \, cm$ from the stronger pole

Vedclass · Answer

(B) Let the magnetic field be zero at point $P$,which lies at a distance $x$ from the $10$ unit pole.Since the poles are like,the null point lies between them.The distance of $P$ from the $40$ unit pole is $(30 - x)$.At point $P$,the magnetic field intensities due to both poles must be equal in magnitude and opposite in direction:$\frac{\mu_0}{4\pi} \cdot \frac{10}{x^2} = \frac{\mu_0}{4\pi} \cdot \frac{40}{(30 - x)^2}$$\frac{1}{x^2} = \frac{4}{(30 - x)^2}$Taking the square root on both sides:$\frac{1}{x} = \frac{2}{30 - x}$$30 - x = 2x$$3x = 30 \Rightarrow x = 10 \, cm$.Thus,the point is at a distance of $10 \, cm$ from the $10$ unit pole and $(30 - 10) = 20 \, cm$ from the stronger ($40$ unit) pole.Therefore,the correct option is $(b)$.

Two like magnetic poles of strength $10$ and $40$ $SI$ units are separated by a distance of $30 \, cm$. The intensity of the magnetic field is zero on the line joining them at:

Similar Questions

The magnetic field at a point $x$ on the axis of a small bar magnet is equal to the field at a point $y$ on the equator of the same magnet. The ratio of the distances of $x$ and $y$ from the centre of the magnet is

Two similar bar magnets $P$ and $Q$,each of magnetic moment $M$,are taken. If $P$ is cut along its axial line and $Q$ is cut along its equatorial line,all the four pieces obtained have:

$A$ permanent magnet:

Which of the following statements is true about the magnetic moments of atoms of different elements?

Two magnets,each of magnetic moment $M$,are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module