C &S Chapter 6 Notes

 

Where are the charges that create E inside the wires that push the electrons thru the wire?  On the outside of the wire. See figure page 210 & 211.

 

RBD #1.(6.2.1) It is variation of charge build up along the outside of the wires that produces the E field that drives the electrons thru the wires.

 

Why doesn't the current in the wire stop or change when the wire is bent?  See fig pg 216.

 

 

RBD #2. 6.5  Resistors in the circuit (Pg 217). Recall i = nAv = nAuE.

Since i must be the same everywhere in a series circuit, and n and u are the same everywhere in the wire,  speed  v must be greater in narrower areas.          

iw = naw vw = ir = nar vr

naw uEw = nar uEr since Aw > Ar, Er > Ew

 

 

RBD#3. Battery maintains charge separation on the plates, and hence the net electric field in the circuit. Enet = Er + Ew = constant.

 

 

RBD#4.  6.6  Work done by the battery = FNC x distance between the battery plates = FNC Ÿ s = Work done by the Electric field in the wires.

 

FNC Ÿs = FCLw + FCLr = eEw Lw + eEr Lr

 

Page 221:  About batteries: 

                      About 6.6.1a  E = Q/AŽo See  Page 143

 

 

RBD#5   6.7.  Applications of theory.  Page 224. Note that Ewire << Eres !!

 

 

RBD#6. Page 226 Bulbs in parallel : l1 = l2 length of the wire in the bulbs, so both bulbs feel the same E, so FNC Ÿs = El1 = E l2. Since i = nAuE, i1 = i2 for identical bulbs.

 

 

RBD#7.

Page 227: 2 bulbs in series : ilong = n1Along u Elong = iround = n2Around uElong , which leads to Eround = (A1/A2) Elong , hence , if A1 > A2, then Eround > Elong.

 

 

RBD#8. Pg 228: Long and round bulbs in series: Why doesn't the round bulb glow?

Er = (AL/Ar) EL << EL.  The work done in pushing electrons thru bulbs determines how much they glow.    Wr = e Er L <<e ELL, (L = length of the filiments.)

 

 

RBD #9:    Pg 229:  more than 2 batteries, use wire, not bulbs, you'll burn out the bulbs.

                                  Also, for two batteries, E = Qs/(2Re0), with s twice as large for two batteries.