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Chapter 25: Q. 21 (page 710)

Show that 1V/m=1N/C.

Short Answer

Expert verified

Proved that1V/m=1N/C

Step by step solution

01

Definition of electric potential 

The Electric potential (V) is considered as the electric potential energy for an unit of charge.

Hence, the Sl unit of this parameter is(J/C)

02

Application of Joule’s Formula for energy  

As per consideration It can be written as J/C in place of V;

As V=J/C.

1Vm=1JC×1m1Vm=1JC.m

As, Joule is the product of force and displacement.

Hence it can be written as,J=N×m

03

Prove that  1VM=1NC

1VM=1N.mC.m1V/m=1N/C

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Most popular questions from this chapter

ReproduceFIGUREQ25.12on your paper. Then draw a dot (or dots) on the figure to show the position (or positions) at which the electric potential is zero.

A -3.0 nC charge is on the x-axis at x = -9 cm and a +4.0 nC

charge is on the x-axis at x = 16 cm. At what point or points on

the y-axis is the electric potential zero?

A 2.0-mm-diameter glass bead is positively charged. The potential difference between a point 2.0 mm from the bead and a point 4.0 mm from the bead is 500 V. What is the charge on the bead?

Two spherical drops of mercury each have a charge of 0.10nC and a potential of 300Vat the surface. The two drops merge to form a single drop. What is the potential at the surface of the new drop?

Two small metal cubes with masses 2.0 g and 4.0 g are tied together by a 5.0-cm-long massless string and are at rest on a frictionless surface. Each is charged to +2.0 mC. a. What is the energy of this system? b. What is the tension in the string? c. The string is cut. What is the speed of each cube when they are far apart?
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