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

Question

Two like magnetic poles of strength 10 and 40 SI units are separated by a distance 30 cm. The intensity of magnetic field is zero on the line joining them (A) At a point 10 cm from the stronger pole (B) At a point 20 cm from the stronger pole (C) At the mid-point (D) At infinity

Tardigrade Admin · Accepted Answer

Suppose magnetic field is zero at point

P

which lies at a distance

x

from

10

units pole. Hence, at

P

.

\frac{μ _{0}}{4 π} \cdot \frac{10}{x ^{2}}

= \frac{μ _{0}}{4 π} \cdot \frac{40}{( 30 - x ) ^{2}}

\Rightarrow x = 10 c m

So, from stronger pole distance is

20 c m

.

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

At a point 10 cm from the stronger pole

At a point 20 cm from the stronger pole

At the mid-point

At infinity

Suppose magnetic field is zero at point P which lies at a distance x from 10 units pole. Hence, at P. 4πμ0​​⋅x210​ =4πμ0​​⋅(30−x)240​ ⇒x=10cm So, from stronger pole distance is 20cm.

Q. Two like magnetic poles of strength $10$ and $40$ $S I$ units are separated by a distance $30 c m$ . The intensity of magnetic field is zero on the line joining them

Suppose magnetic field is zero at point $P$ which lies at a distance $x$ from $10$ units pole. Hence, at $P$ .

$\frac{μ _{0}}{4 π} \cdot \frac{10}{x ^{2}}$
$= \frac{μ _{0}}{4 π} \cdot \frac{40}{( 30 - x ) ^{2}}$
$\Rightarrow x = 10 c m$
So, from stronger pole distance is $20 c m$ .