Electric Field Due to a Line of Charge along Its Axis

Q. Six point charges each having magnitude Q are placed at the vertices of regular hexagon of edge length a as shown in figure. Net electric field at the centre of hexagon will be

समान परिमाण Q के छः बिंदु आवेशों को चित्रानुसार a भुजा लम्बाई के सम षट्भुज के शीर्षों पर रखा गया है। षट्भुज के केन्द्र पर नेट विद्युत क्षेत्र होगा

1. $\frac{Q}{6\pi {\epsilon }_0{a}^2}$
2. $\frac{Q}{2\pi {\epsilon }_0{a}^2}$
3. $\frac{2Q}{\pi {\epsilon }_0{a}^2}$
4. $\frac{Q}{4\pi {\epsilon }_0{a}^2}$

Q.

According to Gauss' Theorem, electric field of an infinitely long straight wire is proportional to

1. r

2. 

3. 

4. 

Q.

Two parallel plane sheets 1 and 2 carry uniform charge densities ${\sigma }_1$ and ${\sigma }_2$ (see Fig. 20.8). The electric field in the region marked I is $({\sigma }_1>{\sigma }_2)$. (Consider the right direction as the positive direction)

1. $-\frac{{\sigma }_1}{2{ϵ}_0}$

2. $-\frac{{\sigma }_2}{2{ϵ}_0}$

3. $-\frac{({\sigma }_1+{\sigma }_2)}{2{ϵ}_0}$

4. $-\frac{({\sigma }_1-{\sigma }_2)}{2{ϵ}_0}$

Q. The electric field $10cm$ from a long wire is $2.4kN/C$. If wire carries uniform charge, what will be the field strength at $40cm$ from the wire?

1. $0.6kN/C$
2. $150N/C$
3. $75N/C$
4. $4.8kN/C$

Q. A particle of charge -q & mass m moves in a circle of radius r around an infinitely long line charge having linear charge density +λ. Then time period will be--

1. 

2. 

3. 

4. 

Q.

According to Gauss' Theorem, electric field of an infinitely long straight wire is proportional to

1. r

2. 

3. 

4.