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43*. The angular frequency of alternating current in
a L-C-R circuit is 100 rad/s. The components
connected are shown in the figure. Find the
value of inductance?
a L-C-R circuit is 100 rad/s. The components
connected are shown in the figure. Find the
value of inductance?
Most Upvoted Answer
43*. The angular frequency of alternating current ina L-C-R circuit is...
To find the value of inductance in an L-C-R circuit with a given angular frequency, we can use the formula that relates inductance, capacitance, and angular frequency.
Understanding Angular Frequency
- Angular frequency (ω) is given as 100 rad/s.
- It can be expressed in terms of inductance (L) and capacitance (C) using the formula:
ω = 1 / √(L * C)
Rearranging the Formula
- To find inductance (L), we can rearrange the formula as follows:
L = 1 / (ω² * C)
Substituting Values
- The next step is to substitute the known values into the equation.
- If we know the value of capacitance (C), we can directly calculate L.
Example Calculation
- Assume the capacitance is given as 10 µF (microfarads), which is equivalent to 10 × 10^-6 F.
- Now, substituting the values into the formula:
L = 1 / (100² * 10 × 10^-6)
L = 1 / (10000 * 10 × 10^-6)
L = 1 / (0.1)
L = 10 H
Conclusion
- The inductance (L) in this example is 10 henries.
- Ensure to replace the capacitance with the appropriate value from your circuit if different from the example.
This method allows you to calculate the inductance required for a specific angular frequency in an L-C-R circuit.
Understanding Angular Frequency
- Angular frequency (ω) is given as 100 rad/s.
- It can be expressed in terms of inductance (L) and capacitance (C) using the formula:
ω = 1 / √(L * C)
Rearranging the Formula
- To find inductance (L), we can rearrange the formula as follows:
L = 1 / (ω² * C)
Substituting Values
- The next step is to substitute the known values into the equation.
- If we know the value of capacitance (C), we can directly calculate L.
Example Calculation
- Assume the capacitance is given as 10 µF (microfarads), which is equivalent to 10 × 10^-6 F.
- Now, substituting the values into the formula:
L = 1 / (100² * 10 × 10^-6)
L = 1 / (10000 * 10 × 10^-6)
L = 1 / (0.1)
L = 10 H
Conclusion
- The inductance (L) in this example is 10 henries.
- Ensure to replace the capacitance with the appropriate value from your circuit if different from the example.
This method allows you to calculate the inductance required for a specific angular frequency in an L-C-R circuit.
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43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance?
Question Description
43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance?.
43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance?.
Solutions for 43*. The angular frequency of alternating current ina L-C-R circuit is 100 rad/s. The componentsconnected are shown in the figure. Find thevalue of inductance? in English & in Hindi are available as part of our courses for UPSC.
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