Physics 16 General Physics Direct-Current Circuits MARLON FLORES SACEDON

Electric Current The flow of current

Electric Circuits What is an electric circuit? An electric circuit is a path in which electrons from a voltage or current source flow. The point where those electrons enter an electrical circuit is called the "source" of electrons. 𝐼 𝐼 𝐼

Electric Circuits Two basic circuit connections Series connection + 𝑅 1 𝑅 2 𝑅 3 𝑉 𝑒𝑞 Parallel connection + 𝑅 1 𝑅 2 𝑅 3 𝑉 𝑒𝑞 𝑉 1 𝐼 1 𝐼 𝑇 𝑉 2 𝑉 2 𝑉 3 𝑉 1 𝐼 2 𝐼 1 𝐼 2 𝐼 3 𝐼 𝑇 𝑅 𝑒𝑞 𝑅 𝑒𝑞 𝐼 3 Formulas for simple parallel 𝑉 3 Formulas for simple series 1. Voltage is constant : 𝑉 𝑒𝑞 = 𝑉 1 = 𝑉 2 = 𝑉 3 1. Current is constant: 𝐼 𝑒𝑞 = 𝐼 1 = 𝐼 2 = 𝐼 3 Total current is the sum all point current: 𝐼 𝑒𝑞 = 𝐼 1 + 𝐼 2 + 𝐼 3 Total voltage is the sum all point voltages: 𝑉 𝑒𝑞 = 𝑉 1 + 𝑉 2 + 𝑉 3 3. Total resistance is the sum of reciprocal of all resistance : 1 𝑅 𝑒𝑞 = 1 𝑅 1 + 1 𝑅 2 + 1 𝑅 3 3. Total resistance is the sum of point resistance : 𝑅 𝑒𝑞 = 𝑅 1 + 𝑅 2 + 𝑅 3 For two resistance: 𝑅 𝑒𝑞 = 𝑅 1 𝑅 2 𝑅 1 + 𝑅 2

Electric Circuits Formulas for simple series 1. Current is constant: 𝐼 𝑒𝑞 = 𝐼 1 = 𝐼 2 = 𝐼 3 Total voltage is the sum all point voltages: 𝑉 𝑒𝑞 = 𝑉 1 + 𝑉 2 + 𝑉 3 3. Total resistance is the sum of point resistance : 𝑅 𝑒𝑞 = 𝑅 1 + 𝑅 2 + 𝑅 3 Formulas for simple parallel 1. Voltage is constant : 𝑉 𝑒𝑞 = 𝑉 1 = 𝑉 2 = 𝑉 3 Total current is the sum all point current: 𝐼 𝑒𝑞 = 𝐼 1 + 𝐼 2 + 𝐼 3 3. Total resistance is the sum of reciprocal of all resistance : 1 𝑅 𝑒𝑞 = 1 𝑅 1 + 1 𝑅 2 + 1 𝑅 3 For two resistance: 𝑅 𝑒𝑞 = 𝑅 1 𝑅 2 𝑅 1 + 𝑅 2 Problem 1 Series connection: Calculate the following: Currents 𝐼 1 , 𝐼 2 , and 𝐼 3 and Voltages 𝑉 1 , 𝑉 2 , and 𝑉 3 . Problem 2 Parallel connection: Calculate the following: Currents 𝐼 1 , 𝐼 2 , 𝐼 3 and 𝐼 𝑒𝑞 . And Voltages 𝑉 1 , 𝑉 2 , and 𝑉 3 . + 𝑅 1 =8Ω 𝑅 2 =10Ω 𝑅 3 =6Ω 𝑉 𝑒𝑞 =12𝑉 + 𝑉 𝑒𝑞=12𝑉 𝑅 1 =8Ω 𝑅 2 =10Ω 𝑅 3 =6Ω

Electric Circuits Complex circuit 𝐼 𝑒𝑞 = 18𝑉 6Ω =3𝐴

Electric Circuits Problem 3 Composite connection: Calculate the following: Currents 𝐼 1 and 𝐼 2 . 𝑅 4 =11Ω 𝑅 5 =5Ω 𝑅 6 =3Ω 𝑉 𝑒𝑞 =24𝑉 + 𝑅 1 =8Ω 𝑅 3 =10Ω 𝑅 2 =9Ω 𝐼 2 𝐼 1

Electric Circuits 𝑅 2 =9Ω 𝑅 4 =11Ω 𝑅 5 =5Ω 𝑅 6 =3Ω 𝑉 𝑒𝑞 =24𝑉 + 𝑅 1 =8Ω 𝑅 3 =10Ω 𝑅 2 =9Ω 𝐼 2 𝐼 1 Problem 3 Composite connection: Calculate the following: Currents 𝐼 1 and 𝐼 2 . 𝑉 1 = 𝑉 𝑒𝑞 =24𝑉: parallel 𝑅 𝑎 =19Ω 𝑉 𝑒𝑞 =24𝑉 + 𝑅 1 =8Ω 𝑅 3 =10Ω 𝑅 2 =9Ω 𝐼 2 𝐼 1 𝐼 1 = 𝑉 1 𝑅 1 = 24𝑉 8Ω =3A Parallel: 𝐼 2 = 𝐼 𝑒𝑞 − 𝐼 1 =4.55𝐴−3=1.55𝐴 𝑉 𝑒𝑞 =24𝑉 + 𝑅 1 =8Ω 𝑅 𝑏 =6.55Ω 𝑅 2 =9Ω 𝐼 2 𝐼 1 𝑉 𝑒𝑞 =24𝑉 + 𝑅 𝑒𝑞 =5.28Ω 𝑉 𝑒𝑞 =24𝑉 + 𝑅 1 =8Ω 𝑅 𝑐 =15.55Ω 𝐼 2 𝐼 1 𝐼 𝑒𝑞 = 𝑉 𝑒𝑞 𝑅 𝑒𝑞 = 24𝑉 5.28Ω =4.55A

Answer: 1,010 sec

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ANSWERS TO ODD NUMBERS

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