A) \[{{i}_{1}}>{{i}_{2}}\]
B) \[{{i}_{1}}={{i}_{2}}\]
C) \[{{i}_{1}}<{{i}_{2}}\]
D) The information is insufficient to find the relation between \[{{i}_{1}}\] and \[{{i}_{2}}\]
Correct Answer: C
Solution :
\[{{i}_{1}}=\frac{{{E}_{0}}}{\sqrt{{{R}^{2}}+{{\left( \frac{1}{{{\omega }_{1}}C} \right)}^{2}}}}=\frac{{{E}_{0}}}{{{Z}_{1}}},\]where \[{{\omega }_{1}}=100\pi \] \[{{i}_{2}}=\frac{{{E}_{0}}}{\sqrt{{{R}^{2}}+{{\left( \frac{1}{{{\omega }_{1}}C} \right)}^{2}}}}=\frac{{{E}_{0}}}{{{Z}_{2}}},\] where \[{{\omega }_{2}}=500\pi \] So, \[{{Z}_{1}}>{{Z}_{2}},\]so\[{{i}_{1}}<{{i}_{2}}\]You need to login to perform this action.
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