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Thursday, March 24, 2016

Wednesday, March 23, 2016

Star-Delta transformation

Find R_a?

Solution:
                R_a=R_1+R_2+\frac{R_1R_2}{R_3}

  • If R_1=R_2=R_3=R_Y then find R_{\Delta }?
      Solution: R_{\Delta }=3R_Y

Series and Parallel circuits practice exercise

Problem 1:

Find R_{ab}=?
        R_{cd}=?
        R_{ac}=?

Solution: R_{ab}=\left(R_1+R_3\right)=R_{ad}
               R_{cd}=\left(R_1+R_3\right)=R_{cb}
               R_{ac}=\left(R_1+R_2\right)

Series and Parallel

Problem 1:

Find R_{ab}?


Solution: R_{ab}=R_1+R_2


Capacitors in Parallel

C_T=C_1C_2

Capacitors in Series

Find Equivalent Capacitance between a and b (C_T)?  

Solution: C_T=\frac{C_1C_2}{C_1+C_2}

Energy stored in Capacitor

E=\frac{1}{2}Cv^2

Energy stored in Inductor

E=\frac{1}{2}Li^2

Current through Inductor

i=\frac{1}{L}\int Vdt

Voltage across Capacitor

V_c=\frac{1}{C}\int _0^ti\left(t\right)dt

Tuesday, March 22, 2016

Parallel Circuit

Find I_1, I_2, I_3, I?

Solution: I_1=\frac{V}{R_1}

I_2=\frac{V}{R_2}
I_3=\frac{V}{R_3}

I=I_1+I_2+I_3

I=\frac{V}{R_1}+\frac{V}{R2}+\frac{V}{R_3}

I=\frac{V}{R_1+R_2+R_3}

Series Circuit

Find I?


Solution: I=\frac{V}{R_1+R_2+R_3}

Basic circuit

Find I?

Solution: I=\frac{V}{R}