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Algebraic Substitution for Electric Circuits
13 questions By Tony R. Kuphaldt
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Question 13 of 13
The voltage-dependent capacitance of a varactor diode is given by the following equation:
$$C_j = \frac {C_o}{\sqrt{2V+1}}$$
Where,
CJ = Junction capacitance
Co = Junction capacitance with no applied voltage
V = Applied reverse junction voltage
Combine this equation with the standard equation for frequency in a resonant LC circuit to arrive at a new equation giving resonant frequency in terms of Co, V, and L.
Reveal answer$$f_r = \frac {1}{2\pi \sqrt{\frac{LC_o}{\sqrt{2V+1}}}}$$
Notes:Ask your students what type of circuit this equation might apply in.
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In a lot of question, the ‘+’ symbol is not printed. Can you please correct this as it causes confusion while trying to solve the equation?
Question 9 says “Combined these two formulae into one solving for the resistance of a copper wire sample (RT) at a specific temperature in degrees Celsius (TC)...”.
I think it should be “at a specific temperature in degrees Fahrenheit (TF)”.