Application of Differentiation & Integration

Application of Differentiation & Integration

1. Differentiation in Inductor.

   • To get di/dt
     • Voltage across the Inductor

2. Differentiation in Capacitor.

   • The voltage across a 5µF capacitor is v(t)= 10 cos 6000t V. Current through Capacitor: ?
     • To get dv/dt
       • Current through Capacitor:

3. Integration in Inductor.

   • Obtain i
     • Energy store

4. Integration in Capacitor.

   • Integrate i
     • Integrate by Substitution

5. Capacitor Formula:

6. Inductor Formula

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