Example 17.1 A constant voltage of frequency, 1 MHz is applied to a lossy inductor (r in series with L), in series with a variable capacitor, C (Fig. 17.3). The current drawn is maximum, when C = 400 pF; while current is reduced to (1/2) of the above value, when C = 450 pF. Find the values of r and L. Calculate also the quality factor of the coil. and the bandwidth. R
Example 17.1 A constant voltage of frequency, 1 MHz is applied to a lossy inductor (r in series with L), in series with a variable capacitor, C (Fig. 17.3). The current drawn is maximum, when C = 400 pF; while current is reduced to (1/2) of the above value, when C = 450 pF. Find the values of r and L. Calculate also the quality factor of the coil. and the bandwidth. R
Introductory Circuit Analysis (13th Edition)
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Chapter1: Introduction
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![The band width is given by Af f,-fi-R/(2x L)
It can be observed that, to improve the quality factor (Q) of a coil, it must be designed
to have its resistance, R as low as possible. This also results in reduction of band width
and losses (for same value of current). But if the resistance, R cannot be decreased, then
Q will decrease, and also both band width and losses will increase.
Example 17.1
A constant voltage of frequency, 1 MHz is applied to a lossy inductor (r in series with
L). in series with a variable capacitor, C (Fig. 17.3). The current drawn is maximum,
when C = 400 pF; while current is reduced to (1/2 ) of the above value, when C = 450
pF. Find the values of r and L. Calculate also the quality factor of the coil, and the
bandwidth.
R
V
f= 1 MHz
Fig. 17.3 Circuit diagram
Solution
近](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68971ec1-bf40-4f3b-9bb9-ab0bb5f55829%2Ff5cadd06-c293-4208-a063-14c0dc5ea9a8%2F1n5nt8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The band width is given by Af f,-fi-R/(2x L)
It can be observed that, to improve the quality factor (Q) of a coil, it must be designed
to have its resistance, R as low as possible. This also results in reduction of band width
and losses (for same value of current). But if the resistance, R cannot be decreased, then
Q will decrease, and also both band width and losses will increase.
Example 17.1
A constant voltage of frequency, 1 MHz is applied to a lossy inductor (r in series with
L). in series with a variable capacitor, C (Fig. 17.3). The current drawn is maximum,
when C = 400 pF; while current is reduced to (1/2 ) of the above value, when C = 450
pF. Find the values of r and L. Calculate also the quality factor of the coil, and the
bandwidth.
R
V
f= 1 MHz
Fig. 17.3 Circuit diagram
Solution
近
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