APPLICATION OF DIFFERENTIATION AND INTEGRATION IN CIRCUIT ANALYSIS PROBLEMS

APPLICATION OF DIFFERENTIATION AND INTEGRATION IN CIRCUIT ANALYSIS PROBLEMS

1. Differentiation

   • QUESTION : An inductor of self-inductance 20mH carry a current, I=3 sin 2πft. Find the voltage, V when time,t=6s and the frequency,f=1/6Hz.
     • 1. Analysis the circuit given. I=3 sin 2πft , L=20mH, t=6s, f=1/6Hz
       • 2. Understand the voltage formula.
         • 3. Differentiate current, I.
           • 4. Substitute t=6s into the equation.
             • 5. Calculate the voltage, V.

2. Integration

   • QUESTION : An inductor of self-inductance 0.2H carry a voltage, V=5 sin 2πft. Find the current, I when t=3s and the frequency,f=1/3Hz..
     • 1. Analysis the circuit given. V=5 sin 2πft , L=0.2H, t=3s, f=1/3Hz
       • 2. Understand the voltage formula.
         • 3. Integrate the formula equation using the information given.
           • 4. Substitute t=3s into the equation.
             • 5. Calculate the current, I.

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