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Chapter 25: Q7Q (page 739)

For each circuit in Fig. 25-21, are the capacitors connected in series, in parallel, or in neither mode?

Short Answer

Expert verified
  1. The capacitors in figure (a) are in series
  2. Thecapacitors in figure (b) are in parallel
  3. The capacitors in figure (c) are in parallel.

Step by step solution

01

The given data

Figure 25-21 is given.

02

Understanding the concept of the capacitor connection

Analyzing circuits given in Fig.25-21, we can note whether the current is dividing or not in it. From this, we can predict whether the capacitors are connected in series, in parallel, or neither mode.

03

Calculation for predicting the capacitors connection

In Fig. 25-21(a), we can see that there is only one path of current and the current is not dividing.

Therefore, the capacitors in figure (a) are in series.

In Fig. 25-21(b) and (c), we can see that, the current is dividing intol1 and l2.

Therefore, the capacitors in figures (b) and (c) are in parallel.

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Most popular questions from this chapter

Fig. 25-33 shows a circuit section of four air-filled capacitors that is connected to a larger circuit. The graph below the section shows the electric potential V(x)as a function of position xalong the lower part of the section, through capacitor 4. Similarly, the graph above the section shows the electric potential V(x)as a function of position xalong the upper part of the section, through capacitors 1, 2, and 3. Capacitor 3 has a capacitance of0.80μFWhat are the capacitances of (a) capacitor 1 and (b) capacitor 2?

Repeat Question 5 forC2added in series rather than in parallel.

Fig.25-39 represents two air-filled cylindrical capacitors connected in series across a battery with potential V = 10 VCapacitor 1 has an inner plate radius of 5.0mm an outer plate radius of 1.5 cmand a length of 5.0 cm.Capacitor 2 has an inner plate radius of 2.5mman outer plate radius of 1.0 cmand a length of 9.0 cm. The outer plate of capacitor 2 is a conducting organic membrane that can be stretched, and the capacitor can be inflated to increase the plate separation. If the outer plate radius is increased to 2.5 cmby inflation, (a) how many electrons move through point P and (b) do they move toward or away from the battery?

A parallel-plate capacitor is connected to a battery of electric potential difference V. If the plate separation is decreased, do the following quantities increase, decrease, or remain the same: (a) the capacitor’s capacitance, (b) the potential difference across the capacitor, (c) the charge on the capacitor, (d) the energy stored by the capacitor, (e) the magnitude of the electric field between the plates, and (f) the energy density of that electric field?

A parallel plate air filled capacitor has a capacitance of 50 pF.(a)If each of its plates has an area of0.35m2, what is the separation? (b)If the region between the plates is now filled with material having k = 5.6, what is the capacitance?
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