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(a) What is the maximum value of the current in the circuit? I max = A (b) What

ID: 2290269 • Letter: #

Question

(a) What is the maximum value of the current in the circuit?
Imax = A

(b) What are the maximum values of the potential difference across the resistor and the inductor?
?VR,max = V
?VL,max = V

(c) When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the inductor, and the AC source?
?VR = V
?VL = V
?Vsource = V

(d) When the current is zero, what are the magnitudes of the potential difference across the resistor, the inductor, and the AC source?
?VR = V
?VL = V
?Vsource = V

Explanation / Answer

value of the current in the circuit is

I=V/Z

where

Z=(R2+w2L2)1/2

w=2pi(63)

part a)

maximum value of current

Imax=V/R

that is when current in the inductor in zero

part b)

maximum values of potential

V(Rmax)=ImaxR

V(Imax)=ImaxwL

part c)

across the AC source=170 V

part d)

when the current is zero

it means inductor is fully chaged

then V(Rmax)=0

V(Imax)=IwL

whre I=V/wL

V(source)=170