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Chapter 25: Q. 21 (page 710)

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

Short Answer

Expert verified

Proved that 1V/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 write as J/C in place of V;

As V=JC.

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

Now it is proved that

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

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Most popular questions from this chapter

Two point charges qa and qb are located on the x-axis at x = a and x = b. FIGURE EX25.34 is a graph of V, the electric potential.

a. What are the signs of qa and qb?

b. What is the ratio qa/qb?

c. Draw a graph of Ex, the x-component of the electric field, as a function of x.

a. What is the potential of an ordinary AA or AAA battery? (If you鈥檙e not sure, find one and look at the label.)

b. An AA battery is connected to a parallel-plate capacitor having 4.0 cm * 4.0 cm plates spaced 1.0 mm apart. How much charge does the battery supply to each plate?

A proton is released from rest at the positive plate of a parallelplate capacitor. It crosses the capacitor and reaches the negative plate with a speed of 50,000 m/s. What will be the final speed of an electron released from rest at the negative plate?

Two 2.0 g plastic buttons each with +50 nC of charge are placed on a frictionless surface 2.0 cm (measured between centers) on either side of a 5.0 g button charged to +250 nC.

All three are released simultaneously.

a. How many interactions are there that have a potential energy?

b. What is the final speed of each button?

Two positive point charges are5.0cm apart. If the electric potential energy is72渭闯 , what is the magnitude of the force between the two charges?
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