In a parallel electrical circuit the impedance Z can be calculated using the equation $Z = \frac{1}{\frac{1}{Z_1} + \frac{1}{Z_2}}$, where $Z_1$ and $Z_2$ are the impedances for the branches of the circuit. If $Z_1 = 20 + 15i$ and $Z_2 = 50 + 40i$, calculate Z.
Added by Kevin S.
Close
Step 1
We are given Z = 20 + 15i and Z2 = 50 + 40i, and we need to find Z1. Show more…
Show all steps
Your feedback will help us improve your experience
Suman Saurav Thakur and 91 other Precalculus educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In the parallel electrical circuit shown in the figure, the impedance Z can be calculated using the equation $$Z=\frac{1}{\frac{1}{Z_{1}}+\frac{1}{Z_{2}}}$$ where $Z_{1}$ and $Z_{2}$ are the impedances for the branches of the circuit. If $Z_{1}=50+25 i$ and $Z_{2}=60+20 i,$ calculate $Z$
Applications of Trigonometry
Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
In the parallel electric circuit shown in the figure, the impedance $Z$ can be calculated using the equation $$Z=\frac{1}{\frac{1}{Z_{1}}+\frac{1}{Z_{2}}}$$ where $Z_{1}$ and $Z_{2}$ are the impedances for the branches of the circuit. If $Z_{1}=50+25 i$ and $Z_{2}=60+20 i,$ approximate $Z$ to the nearest hundredth.
Complex Numbers, Polar Equations, and Parametric Equations
The Product and Quotient Theorems
In the parallel electric circuit shown in the figure, the impedance $Z$ can be calculated using the equation $$Z=\frac{1}{\frac{1}{Z_{1}}+\frac{1}{Z_{2}}}$$ where $Z_{1}$ and $Z_{2}$ are the impedances for the branches of the circuit. Determine the angle $\theta$, to the nearest hundredth, for the value of $Z$ found in Exercise $43 .$
Recommended Textbooks
Precalculus with Limits
Precalculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD