Home
Class 12
PHYSICS
Prove that, if an insulated, uncharged c...

Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.

Text Solution

Verified by Experts

The electric field ` E =-(dV)/(dr)` suggests that electric potential decreases along the direction of the field.
Let us take any path from the charged conductor to the uncharged conductor along the direction of electric field. Therefore, the electric potential decrease along this path.
Now, another path from the uncharged conductor to infinity will again continually lower the potential further. This ensures that the uncharged body must be intermediate in potential between that of the charged body and that of infinity.
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    KUMAR PRAKASHAN|Exercise Section C ( NCERT Exemplar Solution ) ( Long Answer Type Questions )|12 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    KUMAR PRAKASHAN|Exercise Section D ( Multiple Choice Questions (MCQs) )|93 Videos

  • ELECTROSTATIC POTENTIAL AND CAPACITANCE

    KUMAR PRAKASHAN|Exercise Section C ( NCERT Exemplar Solution ) ( Very Short ,Aswer Type Questions )|5 Videos

  • ELECTROMAGNETIC WAVES

    KUMAR PRAKASHAN|Exercise BOARD.S QUESTION PAPER MARCH - 2020 (PART - B) SECTION - C|5 Videos

  • MAGNETISM AND MATTER

    KUMAR PRAKASHAN|Exercise SECTION D Multiple Choice Questions (MCQs) (MCQs asked in Competitive Exams) MCQs asked in Board Exam and GUJCET|7 Videos

Similar Questions

Explore conceptually related problems

When some charge is placed on a good conductor,

When a charged conductor is placed ln an external electric field, inside the conductor we have ...... .

lf a conductor has a potential V ne 0 and there are no charges anywhere else outside, then

A hollow charged conductor has a tiny hole cut in to its surface show that the electric field in the hole is n where n is the charge density near the hole

Inside a charged hollow spherical conductor. the potential :-

(a) A conductor A with a cavity as shown in figure (a) is given a charge Q. Show that the entire charge must appear on the outer surface of the conductor. (b) Another conductor B with charge q is inserted into the cavity keeping B insulated from A. Show that the total charge on the outside surface of A is Q + q figure (b) ( C) A sensitive instruments is to be shielded from the strong electrostatic fields in its environment. Suggest a possible way.

When a positively charged rod is brought near to electrically neutral good conductor, then that good conductor,

In front of an earthed conductor a point charge +q is placed a shown in figure

Can there be a potential difference between two adjacent conductors carrying the same charge ?

(a) a conductor a with a cavity given a charge Q show that the entire charge must appear on the outer surface of the conductor (b) another condluctor B with charge q is sensitive instrument is to be shielded from the strong electrosatitic fields in its environment suggest a possible way