An L-R-C circuit has an inductance that 0.430 , a capacitance of 2.45×10−5 , and a resistance that R.
You are watching: What is the angular frequency of the circuit when r=0?
(A) What is the angular frequency the the circuit once
(B) What value must R have to provide a diminish in angular frequency that 6.00
An L-R-C circuit has an inductance the 0.430 , a capacitance of 2.45×10−5 , and also a resistance the R.
(A) What is the angular frequency of the circuit as soon as
(B) What value have to R have actually to provide a to decrease in angular frequency of 6.00
The voltage equations because that the three circuit elements are :
In equation (3) , we have that
I will certainly assume existing flowing in the clockwise direction . This way we have voltage autumn in the clockwise
direction . Ns will amount voltage rises in the respond to clockwise direction . Follow to Kirchhoff's voltage law
the sum of these voltage rises is zero . Ns will begin the sum at the top of the resistor :
. Divide this equation through by
equation for the collection circuit together :
The auxilliary equation to fix this differential equation is :
We deserve to solve this auxilliary equation making use of the quadratic formula :
The current and voltage in the collection RLC circuit oscilates once :