Electric Potential Due to Charged Infinite Sheets

Q. There is a point charge Q at a distance R/2 from the centre of a circle of radius R. Another point charge q is to be moved from A to B, where A and B are two diametrically opposite points on the circle. How much work is done by the electrostatic force exerted by Q on q?

Q. A point charge +Q is placed outside of a neutral conducting spherical shell with centre O as shown. Electric potential at point P will be

एक बिंदु आवेश +Q को दर्शाए अनुसार केन्द्र O वाले एक उदासीन चालक गोलीय कोश के बाहर रखा गया है। बिंदु P पर विद्युत विभव होगा

1. Zero
   
   शून्य
2. $\frac{Q}{4\pi {\epsilon }_{0}r}$
3. $\frac{Q}{4\pi {\epsilon }_{0}b}$
4. $\frac{Q}{4\pi {\epsilon }_{0}a}$

Q. More than One Answer Type
एक से अधिक उत्तर प्रकार के प्रश्न

A conducting spherical shell having charge q is placed in between of two fixed point charges Q each, as shown in the figure. Assuming all charges to be positive, identify the correct statement(s).

आवेश q वाले एक चालक गोलीय कोश को चित्रानुसार समान आवेश Q वाले दो स्थिर बिंदु आवेशों के मध्य रखा गया है। सभी आवेशों को धनात्मक मानते हुए, सही कथन/कथनों की पहचान कीजिए।

1. The charge on outer surface of sphere is non-uniformly distributed
   
   गोले के बाह्य पृष्ठ पर आवेश असमान रूप से वितरित है
2. The charge on outer surface of sphere is uniformly distributed
   
   गोले के बाह्य पृष्ठ पर आवेश एकसमान रूप से वितरित है
3. Potential at centre of the sphere is $\frac{kq}{R}$
   
   गोले के केन्द्र पर विभव $\frac{kq}{R}$ है
4. Potential at centre of the sphere is $\frac{2kQ}{r}+\frac{kq}{R}$
   
   गोले के केन्द्र पर विभव $\frac{2kQ}{r}+\frac{kq}{R}$ है

Q. At what distance should two charges, each equal to 1 C, be placed so that the force between them equals your weight?

Q. The electric potential due to a uniform disc of surface charge density $0.5C/m^2$ and radius 3 cm, at a point 4 cm from the centre on its perpendicular axis is

1. $4{\epsilon }_0$
2. $8{\epsilon }_0$
3. $\frac{1}{4{\epsilon }_0}$
4. $\frac{1}{8{\epsilon }_0}$