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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×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

Now it is proved that

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

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Most popular questions from this chapter

A Van de Graaff generator is a device for generating a large electric potential by building up charge on a hollow metal sphere. A typical classroom-demonstration model has a diameter of 30cm.

a. How much charge is needed on the sphere for its potential to be500,000V?

b. What is the electric field strength just outside the surface of the sphere when it is charged to 500,000V?

What is the electric potential at the point indicated a dot in FIGURE EX25.31?

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 protons are launched with the same speed from point 1 inside the parallel-plate capacitor of FIGURE Q25.4. Points 2 and 3 are the same distance from the negative plate.

a. Is ΔU1→2, the change in potential energy along the path 1→2, larger than, smaller than, or equal to ΔU1→3?

b. Is the proton's speed v2at point 2 larger than, smaller than, or equal to v3? Explain.

A capacitor with plates separated by distance dis charged to a potential difference ∆VC. All wires and batteries are disconnected, then the two plates are pulled apart (with insulated handles) to a new separation of distance2d.
a. Does the capacitor chargeQ change as the separation increases?
If so, by what factor? If not, why not?
b. Does the electric field strengthEchange as the separation increases? If so, by what factor? If not, why not?
c. Does the potential difference ∆VCchange as the separation increases? If so, by what factor? If not, why not?
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