Application Of Differentiation and Integration in Electric Circuit

Objectives
1. To understand the application of derivative and integrals in electric circuit
2. To learn the methods to create an electric circuit
3. To communicate mathematics both orally and in well written sentences and able to explain solutions to problems
4. To able use technology to help solve problems , experiment, integrate results and verify conclusion
Problem Statement
1. What is the relationship between Electric Circuit With Calculus
Formula
1. For resistor : V(t) = I(t)R
2. For Inductor : V(t)=L(di/dt)
3. For Capacitor : V(t)= 1/C
Conclusion
1. 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

Resource summary

	Created by Muhammad Shazmin about 8 years ago