A) purely resistive circuit
B) series R-L circuit
C) series R-C circuit
D) series L-C circuit
Correct Answer: C
Solution :
with R = 0 Here, \[\omega =70\times {{10}^{3}}rad\,{{s}^{-1}}\] Impedance of the circuit is \[Z=\sqrt{{{({{X}_{L}}\tilde{\ }{{X}_{C}})}^{2}}+{{R}^{2}}}\] If \[{{X}_{L}}>{{X}_{C}},\]then circuit is called R-L circuit. If\[{{X}_{L}}<{{X}_{C}},\]then circuit is called R-C circuit. \[\therefore \] \[{{X}_{L}}=\omega L=70\times {{10}^{3}}\times 100\times {{10}^{-6}}\] \[=7\Omega \]and \[{{X}_{C}}=\frac{1}{\omega C}=\frac{1}{70\times {{10}^{3}}\times 1\times {{10}^{-6}}}\] \[=\frac{{{10}^{3}}}{70}=\frac{1000}{70}=14.3\] Hence, \[{{X}_{C}}>{{X}_{L}}\] Therefore, the circuit will be R-C circuit.You need to login to perform this action.
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