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A capacitor with a slab of glass between the plates is connected to a battery by Nichrome wires and allowed to charge completely. Then the slab of glass is removed. Describe and explain what happens. Include diagrams. If you give a direction for a current, state whether you are describing electron current or conventional current.

Short Answer

Expert verified

The electric field reduces, and capacitance increases, due to which charge storage decreases.

Step by step solution

01

Write the given data from the question.

The slab of the glass is placed between the plates of the capacitor.

After charging the completely, the glass slab removed from the capacitor.

02

Determine the formulas to calculate the capacitance of the capacitor.

The expression to calculate the capacitance of the capacitor when glass slab is placed between the plates is given as follows.

C=KAε0d

Here, Kis the dielectric constant of material, dis the distance between the plates,A area of the plates and ε0.

03

Determine the effect of removing the glass on the charge.

When the glass slab is placed between the plates, the electric field due to the glass slab is in the opposite direction of the electric field due to the plates. The net electric field is reduced, and capacitance increases, which increases stored charge.

The value for the air,Kair=1 , and for the glass,Kglass>1, by this we can see capacitance is increasing.

Therefore, the direction of the electric field and conventional current when the glass slab is placed between the plates are shown below.

If the glass slab is removed between the capacitor plates, the net electric field increases and capacitance decreases, due to which the charge storage decreases.

Therefore, the direction of the electric field and conventional current when the glass slab is removed between the plates are shown below.

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Most popular questions from this chapter

The capacitor in Figure 19.67 is initially uncharged, then the circuit is connected. Which graph in Figure 19.66 best describes the current through the bulb as a function of time?

Suppose that you charges a 2.5 Fcapacitor with two 1.5 Vbatteries. How much charge would be on each plate in the final state? How many excess electrons would be on the negative plate?

The circuit shown in Figure 19.61 consists of two flashlight batteries, a large air-gap capacitor, and Nichrome wire. The circuit is allowed to run long enough that the capacitor is fully charged with +Qand-Q on the plates.

Next you push the two plates closer together (but the plates don’t touch each other). Describe what happens, and explain why in terms of the fundamental concepts of charge and field. Include diagrams showing charge and field at several times.

Work and energy with a capacitor: A capacitor with capacitance Chas an amount of charge q on one of its plates, in which case the potential difference across the plates is ΔV=q/C (definition of capacitance). The work done to add a small amount of charge dq when charge the capacitor is dqΔV=dqq/C. Show by integration that the amount of work required to charge up the capacitor from no charge to final charge Q is 12(Q2/C). Since this is the amount of work required to charge the capacitor, it is also the amount of energy stored in the capacitor. Substituting Q=CΔV, we can also express the energy as 12CΔV2.

Consider two capacitors whose only difference is that the plates of capacitor number 2 are closer together than those of capacitor number 1 (Figure 19.56). Neither, capacitors has an insulating layer between the plates. They are placed in two different circuits having similar batteries and bulbs in series with the capacitor.

Show that in the first fraction of a second, the current stays nearly constant (decreases less rapidly) in the circuit with capacitor number 2. Explain your reasoning in detail.

Hint: Show charges on metal plates, and consider the electric fields they produce in the nearby wires. Remember that the fringe field near a plate outside a circular capacitor is approximately-

(QAεo)(s2R)

More extensive analysis shows that this trend holds true for the entire charging process: the capacitor with the narrower gap ends up with more charge on the plates.

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