An electric dipole is placed on x – axis in proximity to a line charged of linear density 3.0 × 10^-⁶ C/m. Line charge is placed on z – axis and positive and negative charge of dipole is at a distance of 10 mm and 12 mm from the origin respectively. If total force of 4N is exerted on the dipole, find out the amount of positive charge of the dipole.

Option 1 -

0.485 mC

Option 2 -

8.8 $μ C$

Option 3 -

815.1 nC

Option 4 -

4.44 $μ C$

2 Views | Posted a month ago

Asked by Shiksha User

1 Answer

Answered by

Vishal Baghel | Contributor-Level 10

a month ago

Correct Option - 4

Detailed Solution:

$F = [\frac{2 k λ}{r_{1}} - \frac{2 k λ}{r_{2}}] q = 2 k λ q [\frac{1}{r_{1}} - \frac{1}{r_{2}}]$

$2 \times 9 \times 1 0^{9} \times 3 \times 1 0^{- 6} [\frac{1000}{10} - \frac{1000}{12}] q$

$\begin{array}{l} \Rightarrow 4 = 9 \times 1 0^{5} q \\ \Rightarrow q = 4.44 μ C \end{array}$

0 Upvotes 0 Downvotes

Similar Questions for you

Which are the main topics covered in the Electric Charges and Fields?

Pallavi Pathak

The following are the topics covered in this chapter: Electric Field and Field Lines, Gauss's Law, Electric Dipole, Conductors and Insulators, and Electric Flux.

In comparison to other Physics Class 12 chapters, is Electric Charges and Fields an easy chapter to read?

Pallavi Pathak

Indeed, it is an easy chapter of Class 12 Physics. In this chapter, you will learn about the foundational concepts like Gauss's law and electric fields.

A point charge of + $12 μ C$ is at a distance 6cm vertically above the centre of a squared of side 12cm as shown in figure. The magnitude of the electric flux through the square will be……………..× 10³ Nm²/C.

Vishal Baghel

Flux through the 6 sides of square (i.e. cube)

$?_{T} = \frac{q_{i n}}{ε_{0}} = \frac{12 \times 1 0^{- 6} C}{ε_{0}}$

Flux through a square

$? = \frac{?_{T}}{6} = \frac{12 \times 1 0^{- 6}}{ε_{0} \times 6} = \frac{2 \times 1 0^{- 6}}{ε_{0}}$

$\Rightarrow ? = 225.98 \times 1 0^{3} N m^{2} / C ? 226 N m^{2} / C$

Is Electric Charges and Fields chapter important for NEET examination?

Pallavi Pathak

In the medical entrance test NEET, this chapter has a moderate weightage. You can expect around 2-3 questions of this chapter that contributes to the 3-5% of the total marks in the Physics section.

The electric field inside a sphere having charge density related to the distance from the centre as r (a is a constant) is: