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Chapter 16: Q35P (page 663)

If the electric field exceeds about 3×106 N/C in air, a spark occurs. Approximately, what is the absolute value of the maximum possible potential difference between the plates of a capacitor whose gap is 3 mm, without causing a spark in the air between them?

Short Answer

Expert verified

The maximum possible potential difference between the plates is-9000 V .

Step by step solution

01

Potential difference between the plates of a capacitor

When a charge moves between two parallel plates of a capacitor, it requires certain amount of work and raises the value of the voltage.

If the value of the gap between the plates of capacitor increases then the potential difference generated between these plates also increases.

02

Given data

The value of the electric field of the capacitor is,E=3×106 N/C.

The gap between the plates of a capacitor is,d=3 mm×1 m1000mm=0.003 m. .

03

The maximum possible potential difference between the plates of a capacitor

The formula for themaximum possible potential difference between the plates of a capacitor is given by,

ΔV=-(E×d)

Putting the values,

ΔV=-(E×d)ΔV=-3×106 N/C×0.003 m×1 V1 N⋅m/CΔV=-9000 V

Hence, the maximum possible potential difference between the plates is-9000V .

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Most popular questions from this chapter

(a) In Figure 16.14, what is the direction of the electric field? Is∆V=Vf-Vipositive or negative? (b) In figure 16.15, what is the direction of the electric field? Is∆V=Vf-Vipositive or negative?

You travel along a path from location A to location B, moving in the same direction as the direction of the net electric field in that region. What is true of the potential difference VB-VA? (1) VB-VA>0, (2) VB-VA<0, (3) VB-VA=0.

In a region with an uniform electric field, you measure a potential difference of from the origin to a position of (0,0,10) m. Now we add a uniformly charged, thin spherical plastic shell centered at the origin. The spherical shell has a radius of 5 m and a charge of -3530 nC. Draw a diagram to help answer the following questions: (a) What is the potential difference from the origin to a position of (0,0,5) m (at the surface of the spherical shell)? (b) What is the potential difference from the position of (0,0,5) m to a position of (0,0,10) m ?

A dipole is centered at the origin, with its axis along the y axis, so that at locations on the y axis, the electric field due to the dipole is given by

E→=⟨0, 14πε02qsy3, 0⟩ Vm

The charges making up the dipole are+3 nC and -3 nC, and the dipole separation is2 mm (Figure 16.82). What is the potential difference along a path starting at location⟨0, 0.03, 0⟩ m and ending at location⟨0, 0.04, 0⟩ m ?

You move from location i at ⟨2,7,5⟩ mto locationf at ⟨5,6,12⟩ m. All along this path there is a nearly uniform electric field of ⟨1000,200,−510⟩ N/C. Calculate Vf−Vi, including sign and units.
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