When same devices are connected in parallel across the same sources, the current drawn from source will be
A) 12 A
B) 4 A
C) 8 A
D) zero
Correct Answer: B
Solution :
In series LCR, \[i=\frac{200}{50}=4\,A\] \[{{V}_{c}}=i{{X}_{c}}\] \[\Rightarrow \,\,C=\frac{i}{{{V}_{e}}\omega }=\frac{4}{200\times 100\pi }\] or \[{{X}_{c}}=\frac{200}{4}=50\,\Omega \] \[{{V}_{L}}=i{{X}_{L}}\] \[\Rightarrow \,{{X}_{L}}=\frac{200}{4}=50\,\Omega \] In parallel LCR, \[{{i}_{R}}=\frac{200}{50}=4\,A\] \[{{i}_{C}}=\frac{200}{{{X}_{C}}}=4A\] \[{{i}_{L}}=\frac{200}{{{X}_{L}}}=4\,A\] \[i=\sqrt{i_{R}^{2}+{{({{I}_{C}}-{{I}_{L}})}^{2}}}=4\] Amp
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