Zusammenfassung der Ressource
Application Of Differentiation and Integration in Electric Circuit
- Objectives
- To understand the application of derivative and integrals in
electric circuit
- To learn the methods to create an electric circuit
- To communicate mathematics both orally and in well written
sentences and able to explain solutions to problems
- To able use technology to help solve problems , experiment,
integrate results and verify conclusion
- Problem Statement
- What is the relationship between Electric
Circuit With Calculus
- Formula
- For resistor : V(t) = I(t)R
- For Inductor : V(t)=L(di/dt)
- For Capacitor : V(t)= 1/C
- Conclusion
- Current is the derivative of Voltage and Voltage is
integral of the current. I= C dv/dt and V = 1/C where C
is the capacitor which is always a constant
- Question : The electrical circuit shown includes a 40-ohm resistor, a
190mH inductor, a 100F capacitor and a battery which supplying AC
current of 50e . Find the voltage in the circuits. V(t) where t is measured in
seconds