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NEET 2023
Exam
NEET
Year
2023
Subject
Physics
Chapter
Alternating Current

NEET 2023 · Physics · Alternating Current

If Z_1 and Z_2 are the impedances of the given circuits (a) and (b)...

If Z1Z_1 and Z2Z_2 are the impedances of the given circuits (a) and (b) as shown in figures, then choose the correct option. If Z_1 and Z_2 are the impedances of the given circuits (a) and (b) as shown in figures, then choose the correct option.

Options

  1. AZ1=Z2Z_1=Z_2
  2. BZ1>Z2Z_1>Z_2
  3. CZ1<Z2Z_1 < Z_2
  4. DZ1+Z2=20ΩZ_1+Z_2=20 \Omega

Correct answer

C. Z1<Z2Z_1 < Z_2

Step-by-step solution

Z1=R=10ΩZ_1=R=10 \Omega [as, D.C. voltage is supplied] Z2=R2+(XC)2=(10)2+[12×π×50×103π×10−6]2Z_2=\sqrt{R^2+\left(X_C\right)^2}=\sqrt{(10)^2+\left[\frac{1}{2 \times \pi \times 50 \times \frac{10^3}{\pi} \times 10^{-6}}\right]^2}⇒Z2=(10)2+(10)2=102⇒Z2>Z1 or  Z1<Z2\begin{aligned} & \Rightarrow Z_2=\sqrt{(10)^2+(10)^2}=10 \sqrt{2} \\ & \Rightarrow Z_2>Z_1 \text{\text{ or } } Z_1 < Z_2\end{aligned}$$
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