- #1
chopficaro
- 46
- 0
help me out guys i have a test on Wednesday, and I am stuck on a problem, it seems I am supposed to solve for angular frequency w but I am getting a 4th power equation for it which is unsolvable
a 10k ohm resistor and a 100uF capacitor are in parallel, determine the angular frequency w where the absolute value of the input impedance is 2k ohms
z=1/(1/10000+1/(jwc))
z=1/(1/10000+1/(jw(.0001))
z=(1/10000-1/(jw(.0001))/((1/10000+1/(jw(.0001))(1/10000-1/(jw(.0001)))
ok so I've conjugated the denominator of z so that the real part and the imaginary part are separated, we have a quadratic equation for w in the denominator
the absolute value of z is the sum of the squares of the real part and the imaginary part
|z|=2000=sqrt((1/10000)/((1/10000+1/(jw(.0001))(1/10000-1/(jw(.0001)))^2+(-1/(jw(.0001))/((1/10000+1/(jw(.0001))(1/10000-1/(jw(.0001)))^2)
now we have a 4th power equation for w in the denominator which is unsolvable, there must be something I am doing wrong
a 10k ohm resistor and a 100uF capacitor are in parallel, determine the angular frequency w where the absolute value of the input impedance is 2k ohms
z=1/(1/10000+1/(jwc))
z=1/(1/10000+1/(jw(.0001))
z=(1/10000-1/(jw(.0001))/((1/10000+1/(jw(.0001))(1/10000-1/(jw(.0001)))
ok so I've conjugated the denominator of z so that the real part and the imaginary part are separated, we have a quadratic equation for w in the denominator
the absolute value of z is the sum of the squares of the real part and the imaginary part
|z|=2000=sqrt((1/10000)/((1/10000+1/(jw(.0001))(1/10000-1/(jw(.0001)))^2+(-1/(jw(.0001))/((1/10000+1/(jw(.0001))(1/10000-1/(jw(.0001)))^2)
now we have a 4th power equation for w in the denominator which is unsolvable, there must be something I am doing wrong