1. When a capacitor, battery, and resistor are connected in series, does the res

Question

1. When a capacitor, battery, and resistor are connected in series, does the resistor affect the maximum charge stores on the capacitor? Why or why not? What purpose does the resistor serve?

2. The voltage across a capacitor varies as it charges. How can you investigate this relationship? Capacitors also have what is known as the capacitive time constant. How can this constant be calculated?

3. Figure 1 shows three sections of circuit that are to be connected in turn to the same battery via a switch as in Fig. 2. The resistors are all identical, as are the capacitors. Rank the sections according to

(a) the ?nal (equilibrium) charge on the capacitor and

(b) the time required for the capacitor to reach 50% of its ?nal charge, greatest ?rst.

Figure 1

Figure 2

Explanation / Answer

Q1

No ,resistance does not affect the maximum charge stored in capacitor as maximum charge stored is equal to Q=CV where V is voltage of battery

Resistor just decided how quickly or lately capacitor will get charge

Q2

we know

Q=CV ,as C is constant ,so as Q varies ,V varies

Capacitive time constant is the time in which charge across capacitor is 63.2% of final value

Q3

order of charge stored is

(1)=(2)=(3)

We know time constant=RC

where R is effective resistance of circuit so time is

(2)<(3)<(1)

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