Two small spherical balls of mass 10 g each | vedclass

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

Question

(B) The electric field $E$ produced by an infinite nonconducting sheet is given by $E = \frac{\sigma}{2 \varepsilon_0}$.Here,$\sigma = 100 \ \mu C/m^2

Vedclass · Accepted Answer

$1.12$

Vedclass · Answer

(B) The electric field $E$ produced by an infinite nonconducting sheet is given by $E = \frac{\sigma}{2 \varepsilon_0}$.Here,$\sigma = 100 \ \mu C/m^2 = 100 	imes 10^{-6} \ C/m^2$.$E = \frac{100 	imes 10^{-6}}{2 	imes 8.85 	imes 10^{-12}} = \frac{10^{-4}}{17.7 	imes 10^{-12}} = \frac{10^8}{17.7} \ N/C \approx 5.65 	imes 10^6 \ N/C$.The dipole moment $p = q 	imes d = (2 	imes 10^{-6} \ C) 	imes (0.2 \ m) = 0.4 	imes 10^{-6} \ Cm = 4 	imes 10^{-7} \ Cm$.The torque $	au$ acting on the dipole is $	au = pE \sin 	heta$,where $	heta = 30^{\circ}$.$	au = (4 	imes 10^{-7}) 	imes (5.65 	imes 10^6) 	imes \sin(30^{\circ})$$	au = (4 	imes 10^{-7}) 	imes (5.65 	imes 10^6) 	imes 0.5 = 2 	imes 10^{-7} 	imes 5.65 	imes 10^6 = 1.13 \ Nm$.Rounding to the nearest provided option,the correct answer is $1.12 \ Nm$.

Similar Questions

For the shown situation of two dipoles,determine the nature of the forces between them in cases $(I)$ and $(II)$.

When an electric dipole $\overrightarrow{P}$ is placed in a uniform electric field $\overrightarrow{E}$,at what angle between $\overrightarrow{P}$ and $\overrightarrow{E}$ will the magnitude of the torque be maximum? (in degrees)

An electric dipole with dipole moment $4 \times 10^{-14} \ C \cdot m$ is aligned at $30^{\circ}$ with the direction of a uniform electric field of magnitude $5 \times 10^4 \ N/C$. The magnitude of the torque acting on the dipole is:

An electric dipole of dipole moment $\vec{P}$ is placed parallel to a uniform electric field of intensity $\vec{E}$. On rotating it through $180^{\circ}$,the amount of work done is . . . . . . .

The electric dipole moment of a short electric dipole is $p$. The electric potential at a point at a distance $r$ from its center and making an angle $\theta$ with the axis of the dipole is .......

Vedclass Test Series

Exam Paper Generator

Online Exam Module