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Chapter 16: Q35P (page 663)

If the electric field exceeds about 3脳106鈥�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鈥�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脳106鈥�N/C.

The gap between the plates of a capacitor is,d=3鈥�mm脳1鈥�m1000mm=0.003鈥�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,

螖痴=-(E脳d)

Putting the values,

螖痴=-(E脳d)螖痴=-3脳106鈥�N/C脳0.003鈥�m脳1鈥�V1鈥�N鈰�m/C螖痴=-9000鈥�V

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

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Most popular questions from this chapter

The graph in Figure 16.57 shows the electric potential energy for a system of two interacting objects, as a function of the distance between the objects. What system(s) might this graph represent?

(1) Two protons, (2) Two sodium ions, (3) Two neutrons, (4) Two chloride ions, (5) Two electrons, (6) A proton and an electron, (7) A sodium ion and a chloride ion.

Locations A, B , and C are in a region of uniform electric field, as shown in Figure 16.65. Location A is at (-0.5,0,0)m. Location Bis at (-0.5,0,0)m . In the region the electric field has the value (750,0,0)N/C. (a)For a path starting at Band ending at C, calculate: (1) the displacement vector鈻�I鈫� , (2) the change in electric potential, (3) the potential energy change for the system when a proton moves from B to C, (4) the potential energy change for the system when an electron moves from Bto C, (b) Which of the following statements are true in this situation? Choose all that are correct. (1) the potential difference cannot be Choose zero because the electric field is not zero along this path, (2) when a proton moves along this path, the electric force does zero network on the proton, (3) 鈻�I鈫� is perpendicular to E鈫�.

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.

A particle with charge\( + {q_1}\)and a particle with charge\( - {q_2}\)are located as shown in figure 16.91. What is the potential (relative to infinity) at location A.

A proton that initially is travelling at a speed of 300鈥�m/s enters a region where there is an electric field. Under the influence of the electric field the proton slows down and comes to a stop. What is the change in kinetic energy of the proton?
See all solutions

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