Hi everyone,

I was asked to determine the radian frequency (ω) in the following Maxwell-Wein bridge diagram:

Where R1=500 kΩ, C1=0.01 μF, R2=5 kΩ, R3= 15 kΩ, Lx=0.75 H and Rx=0.15 kΩ.

My Answer:

Since:

Zx Z1 = Z2 Z3 (Balance) --> (1)

Z1=R1/(1+ωR1C1) --> (2) //Was edited from Z1=R1/1+ωR1C1

Z2=R2 --> (3)

Z3=R3 --> (4)

Z4=Rx+ωLx --> (5)

From (1) we get:

Z1=(Z2 Z3)/Zx ---> (6)

Putting (6) in the left-hand side of (2) [While defining the unkowns using the rest of the equations]:

(75*10^6)/(0.15*10^3+ω*0.75) = (500*10^3)/(1+ω*0.05*10^-3)

Solving for ω we get:

ω=0 rad/sec

Is that OK?

EDIT: Equation (2) was edited

I was asked to determine the radian frequency (ω) in the following Maxwell-Wein bridge diagram:

Where R1=500 kΩ, C1=0.01 μF, R2=5 kΩ, R3= 15 kΩ, Lx=0.75 H and Rx=0.15 kΩ.

My Answer:

Since:

Zx Z1 = Z2 Z3 (Balance) --> (1)

Z1=R1/(1+ωR1C1) --> (2) //Was edited from Z1=R1/1+ωR1C1

Z2=R2 --> (3)

Z3=R3 --> (4)

Z4=Rx+ωLx --> (5)

From (1) we get:

Z1=(Z2 Z3)/Zx ---> (6)

Putting (6) in the left-hand side of (2) [While defining the unkowns using the rest of the equations]:

(75*10^6)/(0.15*10^3+ω*0.75) = (500*10^3)/(1+ω*0.05*10^-3)

Solving for ω we get:

ω=0 rad/sec

Is that OK?

EDIT: Equation (2) was edited

Last edited: