Explanation:
The question is incomplete. Here is the complete question.
A series RLC circuit has resistance R = 12Ω, inductive reactance XL = 30Ω, and capacitive reactance XC = 20Ω. If the maximum voltage across the resistor is ΔVR = 145V, find the maximum voltage across the inductor and the capacitor.
a) Voltage across the inductor is expressed as
VL = IXL
I is the current flowing in the inductor
XL is the inductive reactance
First we need to get I
According to ohms law, VR = IR
I = VR/R
I = 145/12
I = 12.08A
Since all the elements are in series, then the same current will flow in them.
Given XL = 30Ω
VL = 12.08(30)
VL = 362.5V
Hence the maximum voltage across the inductor is 362.5V
b) Voltage across the capacitor VC = IXC
Given
I = 12.08A
XC = 20Ω
VC = 12.08*20
VC = 241.67V
Hence the maximum voltage across the capacitor is 241.67V
