Dc Circuit

DC Circuits ,[object Object],[object Object],[object Object],[object Object]

Work done by a battery on charge Here

Real Battery and Single Loop circuits… What’s the current ? Conservation of energy: Kirchoff’s first Law: Sum of voltages in a closed loop is zero. Real Circuit with ammeter and voltmeter

Equivalent Resistance Resistors in Series ,[object Object],[object Object],[object Object],[object Object],Apply Ohm’s Law to each resistor

Resistors in parallel ,[object Object],[object Object],[object Object],[object Object],Apply Ohm’s Law to each resistor

Example 1 What is current through battery? What is current through i 2 ?

Kirchhoff’s Rules ,[object Object],[object Object],Signs for Rule 2 The direction of travel when traversing the loop is from a to b.

Problem 2 Find the currents in each of the three legs of the circuit, Three unknowns, need three equations. Also since batteries are in there cannot reduce the resistances since none in parallel or series

Example: Applying Kirchhoff’s Rules ,[object Object],Apply Kirchhoff’s second rule to the closed path in red, traversing it clockwise Apply Kirchhoff’s second rule to the closed path in green, traversing it clockwise Note the sign changes for some of the elements

Another, example: applying Kirchhoff’s Rules ,[object Object]

RC Circuits and Time dependence Time dependence Recall Lab 7! Resistor slows down the charging of the capacitor ,[object Object],[object Object],[object Object],[object Object]

In position “a” Charging the Capacitor ,[object Object],Or the voltage across capacitor is …..

What’s V R across resistor? Find the current and multiply by R

Example: RC circuit ,[object Object],R=10  C=1F

1. Charging the Capacitor Note: is called the time constant What are the units?

Dc Circuit

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Dc Circuit