varied). Figure 25-4lb gives the electric potential Vi across capacitor1 versus

Question

varied). Figure 25-4lb gives the electric potential Vi across capacitor1 versus C3. The horizontal scale is set by C3s 12.0 uF. Electric potential Vi approaches an asymptote of 10 V as C3oo. What are: (a) the electric potential V across the battery, (b) Ci, and (c) C2? 8. Capacitor 3 in Fig. 25-4la is a variable capacitor (its capacitance C3 can be 10 Ci 0 Cs, 9. A charge of uniform linear density 2.0 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius 5.0 cm, outer radius = 10 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field 15 cm from the axis of the shell? What is the surface charge density on the: (b) Inner and: (c) Outer surface of the shell?

Explanation / Answer

8] From the graph, when C3 tends to infinity, the effective capacitance of C2 and C3 will also be infinity (since C3 and C2 are parallel so their capacitance gets added).

now, the equivalent capacitance of the circuit will be:

Ceq = [1/infinity + 1/C1 ]-1 = C1

now, the voltage across C1 is 10 volts [answer b] when C3 is infinity therefore, the electric potential across the battery is also 10 Volts. [answer - a]

this implies that the voltage across C2 will be 0 volts when C3 is infinity. [answer - c].

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