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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脳1m1Vm=1JC.m

As, Joule is the product of force and displacement.

Hence it can be written as,J=N脳m

03

Prove that  1VM=1NC

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

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Most popular questions from this chapter

A proton with an initial speed of 800,000m/sis brought to rest by an electric field.

a. Did the proton move into a region of higher potential or lower potential?

b. What was the potential difference that stopped the proton?

aCharge q1is distance rfrom a positive point charge Q. Charge q2=q13is distance2r from Q. What is the ratio U1U2of their potential energies due to their interactions with Q ?
bChargeq1 is distances from the negative plate of a parallel-plate capacitor. Chargeq2=q13 is distance 2sfrom the negative plate. What is the ratioU1U2 of their potential energies?

An electron with an initial speed of 500,000m/sis brought to rest by an electric field.

a. Did the electron move into a region of higher potential or lower potential?

b. What was the potential difference that stopped the electron?

In FIGURE EX25.26, a proton is fired with a speed of 200,000 m/s from the midpoint of the capacitor toward the positive plate.

a. Show that this is insufficient speed to reach the positive plate.

b. What is the proton鈥檚 speed as it collides with the negative plate?

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.
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