physics 2 11 etisalat 4G 11:01 PM edugen.wileyplus.com WileyPLUS Chapter 25, Pro

Question

physics 2 11
etisalat 4G 11:01 PM edugen.wileyplus.com WileyPLUS Chapter 25, Problem 016 Plot 1 in Figure (a) gives the charge q that can be stored on capacitor 1 versus the electric potential V set up across it. The vertical scale is set by qs = 8.0 c, and the horizontal scale is set by V's = 8.0V.Plots 2 and 3 ae 2hroeersus the Ce2.Pnare similar plots for capacitors 2 and 3, respectively. Figure (b) shows a hae 241 acircuit with those three capacitors and a 5.0 V battery. What is the charge stored on capacitor 2 in that circuit? 2hT The number of significant digits is set to 2; the tolerance is +/-I in the 3tose 2nd significant digit

Explanation / Answer

First use the graph to find the three capacitances

C1 = 0.75*(qs/Vs) ,        C2 = 0.5*(qs/Vs) ,    C3 = 0.25*(qs/Vs)

Now compute the equivalent capacitance. Because C2 and C3 are in parallel, they are equivalent to

   C23 = 0.75*(qs/Vs)

Because C1 has the same capacitance we can recognize the voltage across C23 as 0.5V

Hence the charge on C2 is

Q2 = C2*0.5V = (V/4Vs)*qs = (5/4*8)*8 = 1.25 µC

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