356261
Assertion : In a series LCR circuit, at resonace condition power consumed by circuit is non-zero. Reason : At resonance, impedance of the circuit is maximum.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
At resonance, in reality, resonance minimizes impedance, not effective resistance, leading to increased power consumption.\(X_{L}=X_{C} \Rightarrow Z=Z_{\min }=R\) So correct option is (3).
PHXII07:ALTERNATING CURRENT
356262
A 100\(V\), \(AC\) source of frequency 500 \(Hz\) is connected to an \(L\)-\(C\)-\(R\) circuit with \(L - 8.1\,mH,C = 12.5\mu F,R = 10\Omega \) all connected in series. What is the quality factor of circuit?
1 \(2.02\)
2 \(2.5434\)
3 \(20.54\)
4 \(200.54\)
Explanation:
The Q-factor of series resonant circuit is given as, \(Q = \frac{{{\omega _0}L}}{R}\) Here, \(L = 8.1\,mH,C = 12.5\mu F,R = 10\,\Omega ,f = 500\,Hz\) \(\therefore Q = \frac{{2\pi fL}}{R} = \frac{{2 \times \pi \times 500 \times 8.1 \times {{10}^{ - 3}}}}{{10}} = 2.5434\)
PHXII07:ALTERNATING CURRENT
356263
In an \(L-C-R\) series \(A C\) circuit, if \(\omega_{0}\) is the resonant angular frequency, then the quality factor ( \(Q\)-factor) is given by
356265
Which of the following combinations should be selected for better tuning of an \({L C R}\) circuit used for communication?
1 \(R = 20\,\Omega ,L = 1.5H,C = 35\,\mu F\)
2 \(R = 25\,\Omega ,L = 2.5H,C = 45\,\mu F\)
3 \(R = 25\,\Omega ,L = 1.5H,C = 45\,\mu F\)
4 \(R = 15\,\Omega ,L = 3.5H,C = 30\,\mu F\)
Explanation:
For good communication \({Q}\) factor should be high \({Q=\dfrac{1}{R} \sqrt{\dfrac{L}{C}}}\) From the given values in options- \(\dfrac{1}{5} \sqrt{\dfrac{3.5}{30}}=0.022\) So, correct option is (4).
356261
Assertion : In a series LCR circuit, at resonace condition power consumed by circuit is non-zero. Reason : At resonance, impedance of the circuit is maximum.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
At resonance, in reality, resonance minimizes impedance, not effective resistance, leading to increased power consumption.\(X_{L}=X_{C} \Rightarrow Z=Z_{\min }=R\) So correct option is (3).
PHXII07:ALTERNATING CURRENT
356262
A 100\(V\), \(AC\) source of frequency 500 \(Hz\) is connected to an \(L\)-\(C\)-\(R\) circuit with \(L - 8.1\,mH,C = 12.5\mu F,R = 10\Omega \) all connected in series. What is the quality factor of circuit?
1 \(2.02\)
2 \(2.5434\)
3 \(20.54\)
4 \(200.54\)
Explanation:
The Q-factor of series resonant circuit is given as, \(Q = \frac{{{\omega _0}L}}{R}\) Here, \(L = 8.1\,mH,C = 12.5\mu F,R = 10\,\Omega ,f = 500\,Hz\) \(\therefore Q = \frac{{2\pi fL}}{R} = \frac{{2 \times \pi \times 500 \times 8.1 \times {{10}^{ - 3}}}}{{10}} = 2.5434\)
PHXII07:ALTERNATING CURRENT
356263
In an \(L-C-R\) series \(A C\) circuit, if \(\omega_{0}\) is the resonant angular frequency, then the quality factor ( \(Q\)-factor) is given by
356265
Which of the following combinations should be selected for better tuning of an \({L C R}\) circuit used for communication?
1 \(R = 20\,\Omega ,L = 1.5H,C = 35\,\mu F\)
2 \(R = 25\,\Omega ,L = 2.5H,C = 45\,\mu F\)
3 \(R = 25\,\Omega ,L = 1.5H,C = 45\,\mu F\)
4 \(R = 15\,\Omega ,L = 3.5H,C = 30\,\mu F\)
Explanation:
For good communication \({Q}\) factor should be high \({Q=\dfrac{1}{R} \sqrt{\dfrac{L}{C}}}\) From the given values in options- \(\dfrac{1}{5} \sqrt{\dfrac{3.5}{30}}=0.022\) So, correct option is (4).
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PHXII07:ALTERNATING CURRENT
356261
Assertion : In a series LCR circuit, at resonace condition power consumed by circuit is non-zero. Reason : At resonance, impedance of the circuit is maximum.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
At resonance, in reality, resonance minimizes impedance, not effective resistance, leading to increased power consumption.\(X_{L}=X_{C} \Rightarrow Z=Z_{\min }=R\) So correct option is (3).
PHXII07:ALTERNATING CURRENT
356262
A 100\(V\), \(AC\) source of frequency 500 \(Hz\) is connected to an \(L\)-\(C\)-\(R\) circuit with \(L - 8.1\,mH,C = 12.5\mu F,R = 10\Omega \) all connected in series. What is the quality factor of circuit?
1 \(2.02\)
2 \(2.5434\)
3 \(20.54\)
4 \(200.54\)
Explanation:
The Q-factor of series resonant circuit is given as, \(Q = \frac{{{\omega _0}L}}{R}\) Here, \(L = 8.1\,mH,C = 12.5\mu F,R = 10\,\Omega ,f = 500\,Hz\) \(\therefore Q = \frac{{2\pi fL}}{R} = \frac{{2 \times \pi \times 500 \times 8.1 \times {{10}^{ - 3}}}}{{10}} = 2.5434\)
PHXII07:ALTERNATING CURRENT
356263
In an \(L-C-R\) series \(A C\) circuit, if \(\omega_{0}\) is the resonant angular frequency, then the quality factor ( \(Q\)-factor) is given by
356265
Which of the following combinations should be selected for better tuning of an \({L C R}\) circuit used for communication?
1 \(R = 20\,\Omega ,L = 1.5H,C = 35\,\mu F\)
2 \(R = 25\,\Omega ,L = 2.5H,C = 45\,\mu F\)
3 \(R = 25\,\Omega ,L = 1.5H,C = 45\,\mu F\)
4 \(R = 15\,\Omega ,L = 3.5H,C = 30\,\mu F\)
Explanation:
For good communication \({Q}\) factor should be high \({Q=\dfrac{1}{R} \sqrt{\dfrac{L}{C}}}\) From the given values in options- \(\dfrac{1}{5} \sqrt{\dfrac{3.5}{30}}=0.022\) So, correct option is (4).
356261
Assertion : In a series LCR circuit, at resonace condition power consumed by circuit is non-zero. Reason : At resonance, impedance of the circuit is maximum.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
At resonance, in reality, resonance minimizes impedance, not effective resistance, leading to increased power consumption.\(X_{L}=X_{C} \Rightarrow Z=Z_{\min }=R\) So correct option is (3).
PHXII07:ALTERNATING CURRENT
356262
A 100\(V\), \(AC\) source of frequency 500 \(Hz\) is connected to an \(L\)-\(C\)-\(R\) circuit with \(L - 8.1\,mH,C = 12.5\mu F,R = 10\Omega \) all connected in series. What is the quality factor of circuit?
1 \(2.02\)
2 \(2.5434\)
3 \(20.54\)
4 \(200.54\)
Explanation:
The Q-factor of series resonant circuit is given as, \(Q = \frac{{{\omega _0}L}}{R}\) Here, \(L = 8.1\,mH,C = 12.5\mu F,R = 10\,\Omega ,f = 500\,Hz\) \(\therefore Q = \frac{{2\pi fL}}{R} = \frac{{2 \times \pi \times 500 \times 8.1 \times {{10}^{ - 3}}}}{{10}} = 2.5434\)
PHXII07:ALTERNATING CURRENT
356263
In an \(L-C-R\) series \(A C\) circuit, if \(\omega_{0}\) is the resonant angular frequency, then the quality factor ( \(Q\)-factor) is given by
356265
Which of the following combinations should be selected for better tuning of an \({L C R}\) circuit used for communication?
1 \(R = 20\,\Omega ,L = 1.5H,C = 35\,\mu F\)
2 \(R = 25\,\Omega ,L = 2.5H,C = 45\,\mu F\)
3 \(R = 25\,\Omega ,L = 1.5H,C = 45\,\mu F\)
4 \(R = 15\,\Omega ,L = 3.5H,C = 30\,\mu F\)
Explanation:
For good communication \({Q}\) factor should be high \({Q=\dfrac{1}{R} \sqrt{\dfrac{L}{C}}}\) From the given values in options- \(\dfrac{1}{5} \sqrt{\dfrac{3.5}{30}}=0.022\) So, correct option is (4).
356261
Assertion : In a series LCR circuit, at resonace condition power consumed by circuit is non-zero. Reason : At resonance, impedance of the circuit is maximum.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
At resonance, in reality, resonance minimizes impedance, not effective resistance, leading to increased power consumption.\(X_{L}=X_{C} \Rightarrow Z=Z_{\min }=R\) So correct option is (3).
PHXII07:ALTERNATING CURRENT
356262
A 100\(V\), \(AC\) source of frequency 500 \(Hz\) is connected to an \(L\)-\(C\)-\(R\) circuit with \(L - 8.1\,mH,C = 12.5\mu F,R = 10\Omega \) all connected in series. What is the quality factor of circuit?
1 \(2.02\)
2 \(2.5434\)
3 \(20.54\)
4 \(200.54\)
Explanation:
The Q-factor of series resonant circuit is given as, \(Q = \frac{{{\omega _0}L}}{R}\) Here, \(L = 8.1\,mH,C = 12.5\mu F,R = 10\,\Omega ,f = 500\,Hz\) \(\therefore Q = \frac{{2\pi fL}}{R} = \frac{{2 \times \pi \times 500 \times 8.1 \times {{10}^{ - 3}}}}{{10}} = 2.5434\)
PHXII07:ALTERNATING CURRENT
356263
In an \(L-C-R\) series \(A C\) circuit, if \(\omega_{0}\) is the resonant angular frequency, then the quality factor ( \(Q\)-factor) is given by
356265
Which of the following combinations should be selected for better tuning of an \({L C R}\) circuit used for communication?
1 \(R = 20\,\Omega ,L = 1.5H,C = 35\,\mu F\)
2 \(R = 25\,\Omega ,L = 2.5H,C = 45\,\mu F\)
3 \(R = 25\,\Omega ,L = 1.5H,C = 45\,\mu F\)
4 \(R = 15\,\Omega ,L = 3.5H,C = 30\,\mu F\)
Explanation:
For good communication \({Q}\) factor should be high \({Q=\dfrac{1}{R} \sqrt{\dfrac{L}{C}}}\) From the given values in options- \(\dfrac{1}{5} \sqrt{\dfrac{3.5}{30}}=0.022\) So, correct option is (4).