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Circuit Theory: Series, Parallel and RC Circuits, Slides of Physics

Alagappa UniversityPhysics

Various topics in circuit theory including series and parallel circuits, complex circuits, parallel batteries with internal resistance, rc circuits, charging and discharging capacitors. It includes examples and formulas for finding currents in series and parallel circuits, and the behavior of rc circuits during charging and discharging.

Typology: Slides

2012/2013

Uploaded on 07/24/2013

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Chapter 25: Circuit theory
th
• Series/parallel circuits – finish examples from Tuesday
• Complex circuit
• Parallel batteries with internal resistance
• RC circuits
• Charging a capacitor
• Discharging a capacitor
• Demonstration
Reading: up to page 431 in the text book (Ch. 25)
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Chapter 25: Circuit theory th

  • Series/parallel circuits – finish examples from Tuesday
    • Complex circuit
    • Parallel batteries with internal resistance
  • RC circuits
    • Charging a capacitor
    • Discharging a capacitor
    • Demonstration Reading: up to page 431 in the text book (Ch. 25)

Example: multiple batteries

R 3! 1! 2

I

I

I

R 1 R 2! 1

= 10 V;! 2 = 20 V; R 1 = 15 "; R 2 = 6 "; R 3 = 7 ". Find current I 3

Example: multiple batteries

R 3! 1! 2

I

I

I

R 1 R 2! 1

= 10 V;! 2 = 20 V; R 1 = 15 "; R 2 = 6 "; R 3 = 7 ". Find current I 3

Loop 2

Example: multiple batteries

R 3! 1! 2

I

I

I

R 1 R 2! 1

= 10 V;! 2 = 20 V; R 1 = 15 "; R 2 = 6 "; R 3 = 7 ". Find current I 3

Loop 3

Example: parallel batteries

R

! L

I

I

1 I

L

r r

Loop 1

Example: parallel batteries

R

! L

I

I

1 I

L

r r

Loop 2

RC circuits (charging a capacitor) Kirchoff s 2nd law:!^!^ IR^!^ q C

! = R

dq dt

q C q = C! 1! e ! t / RC ( ) I^ =^

R

e ! t / RC I ! V R = IR Switch at a at t = 0

RC circuits (charging a capacitor) Kirchoff s 2nd law:!^!^ IR^!^ q C

! = R

dq dt

q C q = C! 1! e ! t / RC ( ) I^ =^

R

e ! t / RC

e = 0 RC circuits (discharging a capacitor) Kirchoff s 2nd law: R dq dt

q C

! IR!

q C

q = q 0 e ! t / RC I =! q 0 RC e ! t / RC =!

R

e ! t / RC q 0

= !C